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Facility Planning
Facility Planning and Design
Used with permission: Dr. David Porter
Data Management &
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Presentation Outline
—Introduction to
§ Facilities Planning
§ Facilities Layout
—Generating layout alternatives with
§ Systematic Layout Planning (SLP)
§ Computerized Relative Allocation of Facilities Technique
(CRAFT)
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Facilities Planning
— Facilities planning determines how an activity’s tangible
fixed assets
best support achieving the activity's objectives
— Facilities Planning Viewpoints
§ Civil Engineering
§ Electrical/Mechanical Engineering
§ Architectural
§ Construction Management/Contractor
§ Real Estate
§ Urban Planning
§ Industrial Engineering (IE)
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IE Viewpoint of Facilities Planning
— Industrial Engineers focus on
§ Requirements
§ Resource allocation, and
§ Efficient use of resources
— Facilities are the integration of many lower level systems
§ Space requirements with respect to flow and operations
control
§ Personnel & Equipment Requirements
§ System design/layout with respect to flow and operations
control
§ The use of information systems and technology to increase
effectiveness
§ Movement within a facility and between facilities (i.e.,
location)
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Example of a Manufacturing Facility
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From an IE Viewpoint
— Why is the equipment in this facility located as shown?
— Why are they arranged as shown?
— Why are there so many duplicated items?
— Why is the facility so large or small?
— How many people will be working in the facility?
— Does this design meet requirements?
— etc.
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IE Approaches
— Industrial Engineers develop models to understand, design
and
validate systems
§ Procedures
• e.g., Systematic Layout Planning (SLP)
§ Analytical models
• e.g., machine fraction equations, queuing models
§ Analytical layout models/software
§ Computer simulations
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Elements of Facilities Planning
Facilities
Planning
Facilities
Location
Facilities
Design
Facilities
Systems
Production
System
Design
Layout
Design
Handling/Storage
Systems
Design
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Facilities Layout
— Facilities layout is a design activity and as such there is
often a lot of
art (i.e., experience) and application-specific knowledge that
must be
utilized when developing a layout
§ Grocery store layout vs. department store layout
§ Layout of an engineering complex
§ Layout of an educational/research building
§ Layout of plants that produce different products
• Vehicle vs. computers
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Facilities Layout
— There are no recipes for the layout
— In reality, politics and other organizational considerations
will place
constraints on layouts
— All material presented related to layout design is decision
support
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Facilities Layout
— Information needed to design a layout
1. What are the “blocks” or departments that constitute units or
areas
within a layout?
2. Building/facility footprint
• Exits/entrances/docks, etc.
• Columns, ceiling height, location of utilities.
• Other?
3. Flow measurement/Adjacency measurement
4. Space requirements
• Departments
§ Workstations, aisles, storage, meeting rooms, etc.
• Central storage
• Administration
• Etc.
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Units or Areas within a Layout
— Normally this is given as input data
§ Often will follow organizational and/or production system
structure
— Examples
§ Engineering complexes – Various product development
departments are given
§ Batch production system – Sheet metal press lines
• Various press line sizes are given
— Support functions must be included
§ Storage, admin./engineering offices, IT support, cafeterias,
lockers, restrooms,
conference rooms, etc.
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Building Footprint
— Often also given as input data
— Items of particular concern that affect flow in a facility
§ Location of shipping/receiving docks
§ Location of entrances/exits
§ Columns
§ Ceiling heights
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Facilities Layout
— Measuring flow
§ Quantitative
• Appropriate when large volumes of material/people move
between departments
§ Qualitative
• How important is adjacency to two departments?
• Often applied to the layout of office environments
— Other types of flow?
§ Sound
§ RF signals
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Quantitative Flow Measurement
— Captured in a From-To chart
— Units are the number of trips of equal ease of movement per
time
unit
§ e.g., moving a large die is much more effort than moving a
small bin of parts
To
From Stores Milling Turning Press Plate Assembly Warehouse
Stores X 12 6 9 1 4
Milling X 7 2
Turning 3 X 4
Press X 3 1 1
Plate 3 1 X 4 3
Assembly 1 X 7
Warehouse X
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Qualitative Flow Measurement
— Captured in what is called an Activity Relationship Chart
— The criticality of department adjacency is captured on the
following
scale:
§ A – Absolutely necessary
§ E – Especially important
§ I – Important
§ O – Ordinary closeness OK
§ U – Unimportant
§ X – Undesirable
— Assessed through interviews and meetings
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Example
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Generating Layout Alternatives
— Objective
§ Develop a good or optimal block layout
— Block layout
§ A two dimensional top down view arrangement of departments
in a facility
§ Departments are represented as rectangles (or shapes
constructed from rectangles)
with the relative area of the department captured by the size of
the rectangle
Office Fab Paint
Stores Assembly
Maint
Sup
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Generating Layout Alternatives
— Procedures
§ Construction procedures
• “Greenfield” layout à the layout of a new facility
§ Improvement procedures
• Changes/ improvements to existing facilities
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Systematic Layout Planning - SLP
— A qualitative method
1. Use a from-to or flow-between chart and/or an activity
relationship chart, and
space requirements to create a relationship diagram
2. Next, use the relationship diagram to create a space
relationship diagram
3. The space relationship diagram is used to generate layout
alternatives in the
form of block layouts
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SLP - Example
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SLP – In Class Example
— Four depts. are to be located on a 600’ x 1000’ bldg.
The expected personnel traffic flows and area
requirements for departments are shown in the tables
below
a. Develop a block layout design using SLP
Dept. A B C D
A 0 250 25 240
B 125 0 400 335
C 100 0 0 225
D 125 285 175 0
Dept. Dimen.
A 200’x200’
B 400’x400’
C 600’x600’
D 200’x200’
From-To Chart
Fr
om
To
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SLP – In Class Example
1) Construct a Flow-Between Chart
2) Rank the department pairs in order of greatest two-way flow
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SLP – In Class Example
3) Create an Activity-Relationship diagram
4) Create a Space-Relationship diagram
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SLP – In Class Example
4) Generate layout options
Dept. Dimen.
A 200’x200’
B 400’x400’
C 600’x600’
D 200’x200’
1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
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SLP – In Class Example
4) Generate layout options
Dept. Dimen.
A 200’x200’
B 400’x400’
C 600’x600’
D 200’x200’
1 2 3 4 5 6 7 8 9 10
1 C C C C C C D D A A
2 C C C C C C D D A A
3 C C C C C C B B B B
4 C C C C C C B B B B
5 C C C C C C B B B B
6 C C C C C C B B B B
1 2 3 4 5 6 7 8 9 10
1 C C C C C C C C C D
2 C C C C C C C C C D
3 C C C C C C C C C D
4 C C C C C C C C C D
5 A A B B B B B B B B
6 A A B B B B B B B B
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Computer-Aided Layout
— Computer-aided layout supports layout design
§ Generate many layout alternatives in a short time
§ Helps conduct what if and sensitivity analysis
§ Modeling the problem helps understand the system
perspective
— Commercial software
§ Most algorithms have not yet been commercialized although
they are available as
research code and used by consultants
§ Educational software is available
• We will use one package
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Computer-Aided Layout
— Inputs
1. From-To chart and/or
2. Activity relationship chart
§ You may have the flexibility to map the A,E,I,O,U,X scale to
different
numerical scales
§ Can change results by changing the scaling
§ Can have negative values for relationships (e.g., X)
3. Usually, the building footprint
§ May be restricted to a rectangular footprint
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Computer-Aided Layout
— Layout development criteria
§ When constructing a layout, an algorithm implemented on a
computer needs
specific criteria to compare alternative layouts
§ These criteria may differ depending on the form of input data
characterizing
flow/relationships
§ The criteria must be computable (i.e., quantitative) and is
referred to as the
objective function of the layout problem
• From-To chart as input
Ø Distance-based objective
• Activity relationship chart as input
Ø Adjacency-based objective
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Specific Computerized Layout Algorithms
— CRAFT – Computerized Relative Allocation of Facilities
Technique
§ Inputs
• From-To chart
• Cost matrix
• Initial layout
§ Objective
• Distance based
§ Department representation
• Discrete grids
• No shape restrictions
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Specific Computerized Layout Algorithms
— CRAFT automatically implements a modified pairwise
interchange method
§ Many details must be addressed
— CRAFT Algorithm
1. Start with an initial layout with all departments made up of
individual square grids (Note: each grid represents the same
amount of space)
2. Estimate the best two-way department exchange assuming
department centroids exchange exactly
§ Departments i and j exchange
Ø New centroid i = centroid j
Ø New centroid j = centroid i
§ Only consider exchanging adjacent departments
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Specific Computerized Layout Algorithms
— CRAFT Algorithm (cont’d)
3. Execute the exchange if the estimated cost of the best
exchange
in (2) is lower than the best cost found so far
§ The actual result of the exchange is problem-dependent
4. If the estimated cost of the best exchange in (2) is higher
than
the best cost found so far, stop
§ Else, go to 1
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CRAFT Example
— Consider four departments labeled A, B, C and D. Each
department is represented by a 1 x 1 square. The following
data are given:
— Assuming department A is fixed, compute the actual cost of
this layout using the computerized version of CRAFT
A B C D
A -- 6 0 3
B -- 5 0
C -- 0
D --
A B C D
A -- 2 0 3
B 2 -- 1 0
C 0 1 -- 0
D 3 0 0 --
A B
C D
Initial layout
Flow-Between Matrix Unit Cost Matrix
Commemorative Speech Assignment
Specific Purpose:
To pay tribute to an object or invention which has made a
difference in your life and/or the life of others (no electronics
such as includes TV, cell phone, computer, TiVo, etc.)
Length:
3-4 minutes (thirty-second grace period either way).
1. Start with a narrative or quotation (see bartleby.com for
example) to elevate the person, occasion, subject, etc.
(attention-getter)
2. Explain why you are honoring this (credibility) and want to
pay a tribute (reveal topic). Formulate one simple sentence to
express why your subject deserves to be honored (your thesis!)
3. Continue using the format of an informative speech, but pay
attention to LANGUAGE, make sure it is elevated and
inspiring.
3. Consider the type of ceremony where this speech will take
place. Is it a formal and ceremonial gathering? What does your
audience think about the subject? Why are they there?
4. Refer to the particular contributions, achievements or merits
of the honoree. Give concrete examples. This can be a list or a
narrative (story).
5. Consider your honoree in light of the values and beliefs of
your audience. Why are these contributions, this way of
thinking valuable to the audience? Why does the audience need
to value these same traits?
6. Can you come up with a brief story, an illustration, a quote, a
creative and organized visual aid, and/or figurative language?
Can you reveal any not well known factors or achievement?
How does your subject benefit society?
7. Praise the special characteristics or virtues. Tell the public an
insight story, but only mention the positive sides.
8. What are the major specific characteristics or virtues your
honoree possesses or caused you to possess? Courage,
compassion, kindness, great defender of family values, wisdom,
energy, charity, etc?
9. End your speech with a short quotation, or refer back to the
original quotation or story, reminding the audience why your
subject is truly worthy of being honored.
10. REMEMBER: Be honest and sincere (focusing on the
positive), use expressive and elevated language, but do not over
exaggerate.
Organization:
· A written preparation outline is required for this speech and
should include all relevant content and sources. Follow the
model of an INFORMATIVE SPEECH.
· A speaker's outline/notecard is recommended when delivering
the speech. (For an example see pages 218-224 in your text.) It
should be DELIVERED, not READ.
Sources:
· At leastone outside source must be mentioned in the speech
and referenced properly (APA style) in outline.
Visual Aid: A visual aid is required. It may be a Power Point
presentation, but the object is best.
Self-Assessment: video critique is required
Use the ALT & F1 keys together to move through the document
Save this file with a unique name to your storage device.
Commemorative Speech Outline
Name:
Date: November 26, 2016Topic reviewed: _____
Topic: Commemorative Speech
Purpose: MACROBUTTON FormFieldOptions To
Commemorate
Specific purpose: To commemorate my BDU’s (Battle Dress
Uniform)
Thesis: My uniform has had the biggest impact on my life as a
person and my life after the military.
Introduction:
I. A lot of people look at this uniform and see just that,
something that a soldier, or an airman wears. It doesn’t have
many distinguishing marks besides a nametape, and stripe
insignia. However, I see an amount of miles traveled that would
circle the earth six times. I see the holidays spent away from
home. I see the groups of strangers that became family.
II. My uniform carries it’s own authority, it’s own memories,
and even though I no longer wear it, will grant me opportunities
such as this one the rest of my life.
III. I spent six years and thousands of hours and miles in this
uniform, and never regret a single minute of it.
IV. I want to share with you the reasons why this is more than
just a uniform, it’s part of me and part of my life. It’s part of
my character, and part of my memory. It too has it’s own
personality that we formed together. It saw a boy turned into a
man, and earned stripes just like he had.
Body:
I. This uniform gave a young kid purpose, direction, and life
experience.
A. After I graduated high school, I was like many other kids. I
was searching. I was as a spotlight, searching for the escapee
that once I had found, I wouldn’t release. Joining the Air
Force ended that search.
B. The uniform taught me financial responsibility, pride in
having a strong self-image, and the responsibility it takes to
wake up every day and do something because it’s the right
thing to do. It also taught me the history of many before me
that paid the ultimate price so the ones after them could
carry on their legacy.
C. I have met more people and seen more places than most
twenty nine year olds. If I hadn’t have had this uniform, I
know
for a fact that I would not have seen everything that I
have.
My uniform has carried on with me like a candle that refuses to
burn away, and it continues to burn well after I have left the
military.
II. Many aspects of my life are affected today because of my
uniform.
A. My wife and I live in a house that I bought after being
approved for a VA loan. For veterans, the VA is the sleepless
advocate.
B. I’m in this class today working toward a better future for
myself and for my family because I spent time in a uniform. I
receive a benefit called the Montgomery G.I. bill that pays for
my school and my expenses.
C. Every year Americans, and their allies the world over, stop
on November eleventh and pay tribute to the uniform and
those who wear or have worn it. On that day I am humbled
to know that so many people, if only for a small grain in the
sand of time, remember what the uniform means.
Conclusion:
I. Once my uniform became part of my attire, I soon found out
that it also becomes part of your life, and you become part of a
culture that many before you have formed. The uniform ushers
you into a club that has no membership card, or monthly dues.
The club goes by only a single name, “veteran”.
II. Sir Robert Baden-Powell was quoted as saying “The uniform
makes for brotherhood, since when universally adopted it covers
up all differences of class and country.” Even though a uniform
may get dirty or worn out, even though it’s colors may fade and
need to be replaced, the uniform itself lives on. You see men
and women don’t make uniforms, uniforms make men and
women.
Thank you for your time today, and I appreciate your attention.
References:
Hint: To help remember how to properly list your references go
to http://www.sinclair.edu/facilities/library/research/index.cfm
Thinkexist.com. (Sir Robert Baden-Powell, founder of the boy
scouts)
Audience analysis information:
In the space below discuss how you have tailored your speech
for this particular audience and situation. Include specific
demographic, environmental and audience expectation
information you considered important to this speech.
My audience includes… People who may have family members
who are in or who have been in the military, or another
profession that wears a uniform.
My environment involves… being in a formal setting, possibly
behind a podium and being required to give the most polished
speech yet for our class.
Audience expectations for this speech include … my sharing
what my uniform means in descriptive language, and sharing
some of the values that has.
Choices I've made include…personal things I’ve learned, usage
of simile and personification. Trying to describe a uniform as an
idea or a value as opposed to just an object.
Copyright © 2012
Processes, Variation, & Measurement
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Process
Definition:
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Processes and Performance Measurement
"You can't control what you don't measure".
(Deming, W.E. Out of the Crisis. Cambridge, MA: MIT,
1986. )
Without measurement there is no way to know how a
process is performing; therefore there is no way to
improve it. By measuring the voice of the customer and
the voice of the process, gaps can be identified between
the two. This information gives us direction in our
improvement efforts as we begin closing the gap.
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The Deming Cycle for Process
Improvement Plan
Do
Study (or Check)
Act Plan
Do Study
Act
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Seven Tools of Quality Control
Scatter Diagram
Histogram
Pareto Chart
Flowchart
Cause and Effect Diagram
Run (trend) chart
Control Chart
Pareto Diagram Practice
Defective Items # Percent
Defective
O-rings missing 16
Improper torque 25
Loose connections 193
Fitting burrs 47
Cracked connectors 131
Total 412
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Process Mapping (Flowcharts)
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Common flow chart symbols
Activity Delay
Transportation Decision
Inspection
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Process Mapping Practice
Customer enters grocery order and a computer-generated order
sheet is
generated
Order sheet is taken to the warehouse
Order sheet is given to warehouse supervisor
Supervisor separates orders according to work area
Order forms taken to work areas
Picker separates out order forms
Produce picker fills each order and places on conveyor to dairy
Dairy picker fills each order and place on conveyor to meat
aisle
Meat picker fills each order and sends to shipping
Shipping inspects each order
Shipping loads each order onto cart based on route
Order ships
Cause/ Effect Diagrams aka Ishikawa Diagrams
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Sources of Variation
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Ishikawa diagrams
Fishbone diagram example
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Fishbone diagram how-to’s (1)
1. Clearly define the effect or symptom for which the causes
must be
identified.
2. Place the effect or symptom being explored at the right,
enclosed in a
box.
3. Draw the central spine as a thick line pointing to it from the
left.
4. Brainstorm to identify the "major categories" of possible
causes using
the 6 “sources
of variation”
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Fishbone diagram how-to’s (2)
5. Place each major category in a box and connect it to the
central spine.
6. Within each major category, ask "Why does this happen?
Why does this
condition exist?"
7. Continue to add clauses to each branch until the fishbone is
completed.
8. Once all the bones have been completed, identify the likely,
actionable
root cause.
Process Control
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Measures of location
Average and mean
Median
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Variation
Definition:
Random variation:
Nonrandom variation:
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Deming on Variation
“If I had to reduce my message to management to just a few
words, I’d
say it all had to do with variation”
Deming (1982)
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Measures of variation
Range
Variance
Standard deviation
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Inspecting in Quality
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Prevention
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Designed Experiments
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Run Charts
Cereal Box Weight on 10/31/06
3
3.5
4
4.5
5
5.5
6
0 5 10 15 20 25
Time (hour)
W
ei
gh
t (
gr
am
s)
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Control Charts
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Control Charts
Different types of control charts are used depending on the type
of data you
have
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Control Chart Example
0.49
0.495
0.5
0.505
0.51
0.515
0.52
0.525
0.53
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Other Process Improvement Tools
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Interrelationship Digraph
When should I use this technique?
Why should I use this technique?
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Interrelationship Digraph
Arrange the ideas
Look for relationships
Determine the direction of influence
Tally the arrows
Identify the Driver & Outcome
Draw final Interrelationship Diagraph
Affinity Diagram Practice
Create an AD for “What are
the issues related to
performing well on
engineering exams?”
Two groups of 9, develop 20
– 30 cards
Place on white board
arranged in logical groups
Develop a summary card for
each grouping
Spending enough time
reviewing class notes
Force Field Diagram Practice
Create an Force Field Diagram to
identify those factors that
support and work against
students spending more time
studying for their exams.
Two groups of 9, develop at least
5 forces driving towards the
idea situation and 5 that keep
you from the ideal situation
Draw final force field on white
board using a “T” to separate
+ Driving Forces Restraining Forces -
Study group pressure
Roommate wants to
go out for dinner
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Class Plan
• Data Management & Analysis
• Histograms
• Scatter Plots
• Regression
1
Data Analysis in Excel
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Descriptive Statistics
Measures of central tendency
• Mean (average): Most popular measure of
central tendency
Xbar = sum (from I to n) of Xi
divided by n
Where
xi = Observation number i
n = Total number of
observations
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Descriptive Statistics
Measures of central tendency
• Median: Middle observation within a data set
when the observations are arranged in increasing
order
If number of values (n) in data set is odd, then the median is the
middle observation
If number of values (n) in data set is even then median = (x n/2
+
xn/2 +1)/2
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Descriptive Statistics
Measures of central tendency
• Mode: Value that occurs more often than any of
the others in a data set
Does not always exist
Example: Scores from a test
Is not necessarily unique, i.e. a data set can
have more than one mode
= 2 modes è Bimodal
> 2 modes è Multimodal
Applicable to both quantitative and qualitative data
Particularly useful in marketing and inventory considerations
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Descriptive Statistics
Measures of dispersion
• Range :Difference between the largest and
smallest values in a data set
Xlargest - Xsmallest
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Descriptive Statistics
Measures of dispersion
• Variance: Measures how a set of measurements
fluctuate relative to the mean of the data set:
S2 = sum (x – xbar)2 /(n-1)
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Descriptive Statistics
Measures of dispersion
Standard deviation: What is the problem with
the variance? It has different units of measurement
(e.g., cm2)
To return data to its original units; Standard
deviation = square root of variance
Graphical Analysis
Examples
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Planning
ApplicationAnalysis
Reporting
Bar or Column Graph
Displays frequency of observations that fall into nominal
categories
Color distribution for a random package of M&Ms
0
5
10
15
20
25
brown red yellow green orange blue
Color
Q
ty
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Line Chart
Shows trends in data at equal intervals
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
M
ax
S
ke
w
A
ve
ra
ge
M
ax
P
itc
h
A
ve
ra
ge
C
on
tr
ol
le
d
S
ca
n
F
re
eh
an
d
S
ca
n
B
rig
ht
L
ig
ht
N
or
m
al
L
ig
ht
Lo
w
L
ig
ht
Performance Category
S
ca
n
Ti
m
e
(S
ec
on
ds
)
CCD1 CCD2 LR LCCD CMOS
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Graphical methods
Acceptable graph
EDC Warehouse
Test Results for Read Time
ALL SYSTEMS
0.64
0.20
0.52
0.81
0.66
N/A
1.46
0.88
0
1
2
1 2 3 4 5 6 7 8
RFID System
R
ea
d
Ti
m
e
(s
ec
s/
re
ad
)
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Graphical methods
Better graph
EDC Warehouse
Test Results for Read Time
ALL SYSTEMS
0.88
1.46
N/A
0.66
0.81
0.52
0.20
0.64
0
2
A B C D E F G H
RFID System
R
ea
d
Ti
m
e
(s
ec
s/
re
ad
)
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Graphical Analysis Details
Always label axis with titles and units
Always use chart titles
Use scales that are appropriate to the range of data being
plotted
Use legends only when they add value
Use both points and lines on line graphs only if it is
appropriate – don’t use if the data is discrete
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Histograms
Histograms are pictorial representations of the distribution of
a measured quantity or of counted items.
It is a quick tool to use to display the average and the amount
of variation present.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Histogram example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
The Pareto principle
Dr. Joseph Juran (of total quality management fame)
formulated the Pareto Principle after expanding on the
work of Wilfredo Pareto, a nineteenth century economist
and sociologist.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Pareto example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Example
In the manufacturer of integrated circuits (IC),
many different features are patterned onto the
silicon wafer. To make sure that the devices work
properly, these features must be specific sizes.
Process engineers will measure various feature
sizes across the product. This data set contains
feature size measurements for multiple cassettes,
multiple wafers, and multiple locations on each
wafer.
Graph the data using a scatter plot
Complete a histogram of the data.
Complete a Pareto diagram
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Fitting Lines to Paired Data
• Engineers frequently collect paired data in order
to understand
• Relationships between paired data is often
developed graphically
• Mathematical relationships between paired data
can provide additional insight
• Regression analysis is a mathematical analysis
technique used to determine something about the
relationship between random variables.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis
Regression models are used primarily for the purpose of
prediction
Regression models typically involve
A dependent or response variable
Represented as à y
One or more independent or explanatory variables
Represented as à x1, x2, …,xn
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis
X
Y
X
Y
X
Y
X
Y
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis Model
SIMPLE LINEAR REGRESSION MODEL
However, both β0 and β1 are population parameters
εi à Represents the random error in Y for each observation
i that occurs
Yi = β0 + β1Xi + εi
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis Model
Since we will be working with samples,
the previous model becomes
Where
b0 = Y intercept (estimate of β0)
Value of Y when X = 0
b1 = Slope (estimate of β1)
Expected change in Y per unit change in X
Yi = Predicted (estimated) value of Y
Yi = b0 + b1Xi
^
^
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis Model
What happened with the error term?
Unfortunately, it is not gone. We still have errors in the
estimated values
iii ŶYe −=
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis
X
Y
0
0
Positive Straight-Line Relationship
e1
e2
e3
e4
e5
Yi = b0 + b1Xi
b0
xΔ
yΔ
b1
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Least Squares Method
Mathematical technique that determines
the values of b0 and b1
It does so by minimizing the following
expression
∑
=
n
1i
2
ieMin
( ) ( )[ ]
2n
1i
i10i
2n
1i
ii
n
1i
2
i XbbYŶYeMin ∑∑∑
===
+−=−=
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Assessing Fit
How do we know how good a regression
model is?
Coefficient of determination à r2 where a
value close to 1 suggests a good fit
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 1
When all you need is the slope and intercept of a best fit line,
you can use Excel functions (SLOPE and INTERCEPT) to
determine these values. You can also use RSQ to find the
coefficient of determination (R2)
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Performing a linear regression in Excel is very easy. Once the
data have been graphed, regression can be done very simply.
Just because it is easy, does not mean that a linear regression
always makes sense. Graph the data first and always inspect
the “quality” of the fit.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
When regression is done with the trend line feature of Excel,
the fitted curve is automatically added to the graph.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 2
The process of performing a linear regression for a slope and
intercept requires the computation of various sums using both
the independent (x) values and dependant (y) values in the
data set being analyzed.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 2
You can calculate the slope b1 and intercept
b0 with formulas, but Excel will do this for
you.
When trying to find the best fit, always start
with a linear fit (unless it is obvious that
won’t work), then try exponential and
polynomial fits if you think you can get a
better fit.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 3
There is an add-in under tools (regression)
that can provide you all the details
resulting from a linear regression.
It is easy to use, but interpreting the results
requires some understanding of regression
terminology
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Regression in EXCEL
Pumpkin experiment
Regression Statistics
Multiple R 0.968
R Square 0.937
Adjusted R Square 0.934
Standard Error 3.260
Observations 23.000
ANOVA
df SS MS F Significance F
Regression 1 3334.239 3334.239 313.650 0.000
Residual 21 223.239 10.630
Total 22 3557.478
Coefficients Standard Error t Stat P-value Lower 95% Upper
95%
Intercept 33.293 1.372 24.272 0.000 30.440 36.145
Circumference 0.011 0.001 17.710 0.000 0.010 0.013
r2
SSE
SSTb1
b0
IE/MFGE 285: Week 2
Production Planning and Control
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Measuring Processes
Little’s Law:
37
I = Inventory or “line length”
T = Throughput or flow time
R = Flow rate into process
I = T x R
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Measuring Processes
Capacity:
maximum rate of output of a process
Process capacity =
minimum (capacity of resource 1, capacity of resource 2,
capacity of resource 3, ….)
þ The throughput, or the number of units a facility can hold,
receive,
store, or produce in a period of time
þ Determines fixed costs
þ Determines if demand will be satisfied
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Measuring Processes
Bottleneck:
Capacity of the most constrained (smallest capacity) resource
39
Flow rate = minimum (supply, demand, capacity)
Week 2 Lecture 3, Cont’d
Types of Production Systems
40
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Process Focus
projects, job shops
(machine, print,
carpentry)
Standard Register
Repetitive
(autos, motorcycles)
Harley Davidson
Product Focus
(commercial
baked goods, steel,
glass)
Nucor Steel
High Variety
one or few units
per run, high
variety
(allows
customization)
Changes in
Modules
modest runs,
standardized
modules
Changes in
Attributes (such as
grade, quality, size,
thickness, etc.)
long runs only
Mass Customization
Dell Computer Co.
Poor Strategy
(Both fixed and
variable costs are
high)
Low
Volume
Repetitive
Process
High
Volume
Volume
41
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Many
inputs
High
variety
of
outputs
Print Shop
Process Focus
42
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
þ Facilities often organized as assembly
lines
þ Characterized by modules with parts
and assemblies made previously
þ Modules may be combined for many
output options
þ Less flexibility than process-focused
facilities but more efficient
Repetitive Focus
43
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Raw
materials
and
module
inputs
Modules
combined
for many
output
options
Few
modules
Automobile Assembly Line
Repetitive Focus
44
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
þ Facilities are organized by product
þ High volume but low variety of
products
þ Long, continuous production runs
enable efficient processes
þ Typically high fixed cost but low
variable cost
þ Generally less skilled labor
Product Focus
45
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Many
inputs
Output
variation
in size,
shape, and
packaging
Bottling Plant
Product Focus
46
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
þ The rapid, low-cost production of
goods and service to satisfy
increasingly unique customer desires
þ Combines the flexibility of a process
focus with the efficiency of a product
focus
Mass Customization
47
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Modular
techniques
Mass Customization
Effective
scheduling
techniques
Rapid
throughput
techniques
Repetitive Focus
Modular design
Flexible equipment
Process-Focused
High variety, low volume
Low utilization (5% to 25%)
General-purpose equipment
Product-Focused
Low variety, high volume
High utilization (70% to 90%)
Specialized equipment
Mass Customization
48
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Process
Focus
(Low volume,
high variety)
Repetitive
Focus
(Modular)
Product Focus
(High-volume,
low-variety)
Mass
Customization
(High-volume,
high-variety)
Small
quantity, large
variety of
products
Long runs,
standardized
product made
from modules
Large
quantity, small
variety of
products
Large
quantity, large
variety of
products
General
purpose
equipment
Special
equipment
aids in use of
assembly line
Special
purpose
equipment
Rapid
changeover
on flexible
equipment
Comparison
49
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Process
Focus
(Low volume,
high variety)
Repetitive
Focus
(Modular)
Product Focus
(High-volume,
low-variety)
Mass
Customization
(High-volume,
high-variety)
Operators are
broadly
skilled
Employees are
modestly
trained
Operators are
less broadly
skilled
Flexible
operators are
trained for the
necessary
customization
Many job
instructions
as each job
changes
Repetition
reduces
training and
changes in job
instructions
Few work
orders and job
instructions
because jobs
standardized
Custom
orders require
many job
instructions
Comparison
50
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Identify or Define:
Capacity Planning
51
þ Capacity
þ Design capacity
þ Effective capacity
þ Utilization
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Capacity Definition
52
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Modify capacity Use capacity
Intermediate-
range
planning
Subcontract Add personnel
Add equipment Build or use inventory
Add shifts
Short-range
planning
Schedule jobs
Schedule personnel
Allocate machinery*
Long-range
planning
Add facilities
Add long lead time equipment *
* Limited options exist
Planning and Capacity
53
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Types of Capacity
54
Adopted from Heizer and Render (2007) Operations
Management
þ Design capacity is the maximum theoretical
output of a system
þ Normally expressed as a rate
þ Effective capacity is the capacity a firm
expects to achieve given current operating
constraints
þ Often lower than design capacity
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Utilization is the percent of design capacity
achieved
Efficiency is the percent of effective capacity
achieved
Utilization =
Efficiency =
Utilization and Efficiency
55
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls
Adopted from Heizer and Render (2007) Operations
Management
Example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls
Utilization = 148,000/201,600 = 73.4%
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls
Utilization = 148,000/201,600 = 73.4%
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls
Utilization = 148,000/201,600 = 73.4%
Efficiency = 148,000/175,000 = 84.6%
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls
Utilization = 148,000/201,600 = 73.4%
Efficiency = 148,000/175,000 = 84.6%
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Efficiency = 84.6%
Efficiency of new line = 75%
Expected Output = (Effective Capacity)(Efficiency)
= (175,000)(.75) = 131,250 rolls
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls
Design capacity = 1,200 rolls per hour
Bakery operates 7 days/week, 3 - 8 hour shifts
Efficiency = 84.6%
Efficiency of new line = 75%
Expected Output = (Effective Capacity)(Efficiency)
= (175,000)(.75) = 131,250 rolls
Example
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
1. Making staffing changes
2. Adjusting equipment and processes
þ Purchasing additional machinery
þ Selling or leasing out existing equipment
3. Improving methods to increase
throughput
4. Redesigning the product to facilitate
more throughput
Matching Demand and
Capacity
64
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
(a) Leading demand with
incremental expansion
D
em
an
d
Expected
demand
New
capacity
(b) Leading demand with
one-step expansion
D
em
an
d
New
capacity
Expected
demand
(d) Attempts to have an average
capacity with incremental
expansion
D
em
an
d
New
capacity Expected
demand
(c) Capacity lags demand with
incremental expansion
D
em
an
d
New
capacity
Expected
demand
Capacity Expansion
Adopted from Heizer and Render (2007) Operations
Management
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
þ Specifies the order in which jobs should
be performed at work centers
þ Priority rules are used to dispatch or
sequence jobs
þ FIFO: First in, first out
þ SPT: Shortest processing time
þ EDD: Earliest due date
þ LPT: Longest processing time
Adopted from Heizer and Render (2007) Operations
Management
Sequencing jobs
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Job Work
(Processing) Time
(Days)
Job Due
Date
(Days)
A 6 8
B 2 6
C 8 18
D 3 15
E 9 23
Apply the four popular sequencing rules to
these five jobs
Adopted from Heizer and Render (2007) Operations
Management
Sequencing Example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
A 6 6 8 0
B 2 8 6 2
C 8 16 18 0
D 3 19 15 4
E 9 28 23 5
28 77 11
FIFO: Sequence A-B-C-D-E
Adopted from Heizer and Render (2007) Operations
Management
FIFO Example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
A 6 6 8 0
B 2 8 6 2
C 8 16 18 0
D 3 19 15 4
E 9 28 23 5
28 77 11
FCFS: Sequence A-B-C-D-E
Average completion time = = 77/5
= 15.4 days
Total flow time
Number of jobs
Utilization = = 28/77 = 36.4%
Total job work time
Total flow time
Average number of
jobs in the system = = 77/28 = 2.75
jobs
Total flow time
Total job work time
Average job lateness = = 11/5 = 2.2
days
Total late days
Number of jobs
Adopted from Heizer and Render (2007) Operations
Management
FIFO Example Calculations
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
B 2 2 6 0
D 3 5 15 0
A 6 11 8 3
C 8 19 18 1
E 9 28 23 5
28 65 9
SPT: Sequence B-D-A-C-E
Adopted from Heizer and Render (2007) Operations
Management
SPT Example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
B 2 2 6 0
D 3 5 15 0
A 6 11 8 3
C 8 19 18 1
E 9 28 23 5
28 65 9
Average completion time = = 65/5 =
13 days
Total flow time
Number of jobs
Utilization = = 28/65 = 43.1%
Total job work time
Total flow time
Average number of
jobs in the system = = 65/28 = 2.32
jobs
Total flow time
Total job work time
Average job lateness = = 9/5 = 1.8 days
Total late days
Number of jobs
Adopted from Heizer and Render (2007) Operations
Management
SPT Calculations
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
B 2 2 6 0
A 6 8 8 0
D 3 11 15 0
C 8 19 18 1
E 9 28 23 5
28 68 6
EDD: Sequence B-A-D-C-E
Adopted from Heizer and Render (2007) Operations
Management
EDD Example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
B 2 2 6 0
A 6 8 8 0
D 3 11 15 0
C 8 19 18 1
E 9 28 23 5
28 68 6
Average completion time = = 68/5 =
13.6 days
Total flow time
Number of jobs
Utilization = = 28/68 = 41.2%
Total job work time
Total flow time
Average number of
jobs in the system = = 68/28 = 2.43
jobs
Total flow time
Total job work time
Average job lateness = = 6/5 = 1.2 days
Total late days
Number of jobs
Adopted from Heizer and Render (2007) Operations
Management
EDD Calculations
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
E 9 9 23 0
C 8 17 18 0
A 6 23 8 15
D 3 26 15 11
B 2 28 6 22
28 103 48
LPT: Sequence E-C-A-D-B
Adopted from Heizer and Render (2007) Operations
Management
LPT Example
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Job
Sequence
Job Work
(Processing)
Time
Flow
Time
Job Due
Date
Job
Lateness
E 9 9 23 0
C 8 17 18 0
A 6 23 8 15
D 3 26 15 11
B 2 28 6 22
28 103 48
Average completion time = = 103/5 =
20.6 days
Total flow time
Number of jobs
Utilization = = 28/103 = 27.2%
Total job work time
Total flow time
Average number of
jobs in the system = = 103/28 = 3.68
jobs
Total flow time
Total job work time
Average job lateness = = 48/5 = 9.6
days
Total late days
Number of jobs
Adopted from Heizer and Render (2007) Operations
Management
LPT Calculations
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Rule
Average
Completion
Time (Days)
Utilization
(%)
Average Number
of Jobs in
System
Average
Lateness
(Days)
FIFO 15.4 36.4 2.75 2.2
SPT 13.0 43.1 2.32 1.8
EDD 13.6 41.2 2.43 1.2
LPT 20.6 27.2 3.68 9.6
Adopted from Heizer and Render (2007) Operations
Management
Adopted from Heizer and Render (2007) Operations
Management
Summary of Results
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
þ No one sequencing rule excels on all criteria
þ SPT does well on minimizing flow time and
number of jobs in the system
þ But SPT moves long jobs to the end which may
result in dissatisfied customers
þ FIFO does not do especially well (or poorly) on
any criteria but is perceived as fair by customers
þ EDD minimizes lateness
Adopted from Heizer and Render (2007) Operations
Management
Comparison of Sequencing
Rules
IE/MFGE 285: Week 2
Introduction & Syllabus Review; Introduction to IME
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Class Plan
• Data Management & Analysis
• Histograms
• Scatter Plots
• Regression
1
Data Analysis in Excel
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Descriptive Statistics
Measures of central tendency
• Mean (average): Most popular measure of
central tendency
Xbar = sum (from I to n) of Xi
divided by n
Where
xi = Observation number i
n = Total number of
observations
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Descriptive Statistics
Measures of central tendency
• Median: Middle observation within a data set
when the observations are arranged in increasing
order
If number of values (n) in data set is odd, then the median is the
middle observation
If number of values (n) in data set is even then median = (x n/2
+
xn/2 +1)/2
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Descriptive Statistics
Measures of central tendency
• Mode: Value that occurs more often than any of
the others in a data set
Does not always exist
Example: Scores from a test
Is not necessarily unique, i.e. a data set can
have more than one mode
= 2 modes è Bimodal
> 2 modes è Multimodal
Applicable to both quantitative and qualitative data
Particularly useful in marketing and inventory considerations
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Descriptive Statistics
Measures of dispersion
• Range :Difference between the largest and
smallest values in a data set
Xlargest - Xsmallest
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Descriptive Statistics
Measures of dispersion
• Variance: Measures how a set of measurements
fluctuate relative to the mean of the data set:
S2 = sum (x – xbar)2 /(n-1)
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Descriptive Statistics
Measures of dispersion
Standard deviation: What is the problem with
the variance? It has different units of measurement
(e.g., cm2)
To return data to its original units; Standard
deviation = square root of variance
Graphical Analysis
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
In-class Example
Strength testing of materials often involves a
tensile test in which a sample of the material
is held between two mandrels and increasing
force (stress) is applied. A stress-strain curve
is generated to provide information about a
particular material. Strain is the amount of
elongation of the sample divided by the
original sample length.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Data Analysis Example
Stress Strain
(Mpa) (mm/mm)
0.000 0.000
5.380 0.003
10.760 0.006
16.140 0.009
21.520 0.012
25.110 0.014
30.490 0.017
33.340 0.020
44.790 0.035
52.290 0.052
57.080 0.079
59.790 0.124
60.100 0.167
59.580 0.212
57.500 0.264
55.420 0.300
The stress-strain data taken from a soft,
ductile material tested in this way is
tabulated to the left.
Graph this data – Strain is the independent
(x) and Stress is the dependent (y) variable.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Graphical methods
Quantitative vs. Qualitative data
Quantitative data (numerical data)
Cost of a computer (continuous)
Number of production defects (discrete)
Weight of a person (continuous)
Parts produced this month (discrete)
Temperature of etch bath (continuous)
Graphical tools
Line charts
Histograms
Scatter charts
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Quantitative vs. Qualitative data
Quantitative data (categorical and attribute)
Type of equipment (Manual, automated, semi-automated)
Operator (Tom, Nina, Jose)
Graphical tools
Bar charts
Pie charts
Pareto charts
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Getting Started
Classify data
Quantitative vs. Qualitative
Continuous or discrete (quantitative)
Chose the right graphical tool
Chose axes and scales to provide best “view” of data
Label graphs to eliminate ambiguity
Graphical Analysis
Examples
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Bar or Column Graph
Displays frequency of observations that fall into nominal
categories
Color distribution for a random package of M&Ms
0
5
10
15
20
25
brown red yellow green orange blue
Color
Q
ty
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Line Chart
Shows trends in data at equal intervals
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
M
ax
S
ke
w
A
ve
ra
ge
M
ax
P
itc
h
A
ve
ra
ge
C
on
tr
ol
le
d
S
ca
n
F
re
eh
an
d
S
ca
n
B
rig
ht
L
ig
ht
N
or
m
al
L
ig
ht
Lo
w
L
ig
ht
Performance Category
S
ca
n
T
im
e
(S
ec
o
n
d
s)
CCD1 CCD2 LR LCCD CMOS
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Graphical methods
Acceptable graph
EDC Warehouse
Test Results for Read Time
ALL SYSTEMS
0.64
0.20
0.52
0.81
0.66
N/A
1.46
0.88
0
1
2
1 2 3 4 5 6 7 8
RFID System
R
e
a
d
T
im
e
(s
e
cs
/r
e
a
d
)
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Graphical methods
Better graph
EDC Warehouse
Test Results for Read Time
ALL SYSTEMS
0.88
1.46
N/A
0.66
0.81
0.52
0.20
0.64
0
2
A B C D E F G H
RFID System
R
ea
d
Ti
m
e
(s
ec
s/
re
ad
)
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Graphical Analysis Details
Always label axis with titles and units
Always use chart titles
Use scales that are appropriate to the range of data being
plotted
Use legends only when they add value
Use both points and lines on line graphs only if it is
appropriate – don’t use if the data is discrete
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Histograms
Histograms are pictorial representations of the distribution of
a measured quantity or of counted items.
It is a quick tool to use to display the average and the amount
of variation present.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Histogram example
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
The Pareto principle
Dr. Joseph Juran (of total quality management fame)
formulated the Pareto Principle after expanding on the
work of Wilfredo Pareto, a nineteenth century economist
and sociologist.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Pareto example
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Example
In the manufacturer of integrated circuits (IC),
many different features are patterned onto the
silicon wafer. To make sure that the devices work
properly, these features must be specific sizes.
Process engineers will measure various feature
sizes across the product. This data set contains
feature size measurements for multiple cassettes,
multiple wafers, and multiple locations on each
wafer.
Graph the data using a scatter plot
Complete a histogram of the data.
Complete a Pareto diagram
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Fitting Lines to Paired Data
• Engineers frequently collect paired data in order
to understand
• Relationships between paired data is often
developed graphically
• Mathematical relationships between paired data
can provide additional insight
• Regression analysis is a mathematical analysis
technique used to determine something about the
relationship between random variables.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis
Regression models are used primarily for the purpose of
prediction
Regression models typically involve
A dependent or response variable
Represented as à y
One or more independent or explanatory variables
Represented as à x1, x2, …,xn
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis
X
Y
X
Y
X
Y
X
Y
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis Model
SIMPLE LINEAR REGRESSION MODEL
However, both β0 and β1 are population parameters
εi à Represents the random error in Y for each observation
i that occurs
Yi = β0 + β1Xi + εi
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis Model
Since we will be working with samples,
the previous model becomes
Where
b0 = Y intercept (estimate of β0)
Value of Y when X = 0
b1 = Slope (estimate of β1)
Expected change in Y per unit change in X
Yi = Predicted (estimated) value of Y
Yi = b0 + b1Xi
^
^
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis Model
What happened with the error term?
Unfortunately, it is not gone. We still have errors in the
estimated values
iii ŶYe −=
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression Analysis
X
Y
0
0
Positive Straight-Line Relationship
e1
e2
e3
e4
e5
Yi = b0 + b1Xi
b0
xΔ
yΔ
b1
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Least Squares Method
Mathematical technique that determines
the values of b0 and b1
It does so by minimizing the following
expression
∑
=
n
1i
2
ieMin
( ) ( )[ ]
2n
1i
i10i
2n
1i
ii
n
1i
2
i XbbYŶYeMin ∑∑∑
===
+−=−=
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Assessing Fit
How do we know how good a regression
model is?
Coefficient of determination à r2 where a
value close to 1 suggests a good fit
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 1
When all you need is the slope and intercept of a best fit line,
you can use Excel functions (SLOPE and INTERCEPT) to
determine these values. You can also use RSQ to find the
coefficient of determination (R2)
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Performing a linear regression in Excel is very easy. Once the
data have been graphed, regression can be done very simply.
Just because it is easy, does not mean that a linear regression
always makes sense. Graph the data first and always inspect
the “quality” of the fit.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
When regression is done with the trend line feature of Excel,
the fitted curve is automatically added to the graph.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 2
The process of performing a linear regression for a slope and
intercept requires the computation of various sums using both
the independent (x) values and dependant (y) values in the
data set being analyzed.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 2
You can calculate the slope b1 and intercept
b0 with formulas, but Excel will do this for
you.
When trying to find the best fit, always start
with a linear fit (unless it is obvious that
won’t work), then try exponential and
polynomial fits if you think you can get a
better fit.
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Linear Regression in Excel
Method 3
There is an add-in under tools (regression)
that can provide you all the details
resulting from a linear regression.
It is easy to use, but interpreting the results
requires some understanding of regression
terminology
Data Management &
Analysis
Process Management
Planning
ApplicationAnalysis
Reporting
Regression in EXCEL
Pumpkin experiment
Regression Statistics
Multiple R 0.968
R Square 0.937
Adjusted R Square 0.934
Standard Error 3.260
Observations 23.000
ANOVA
df SS MS F Significance F
Regression 1 3334.239 3334.239 313.650 0.000
Residual 21 223.239 10.630
Total 22 3557.478
Coefficients Standard Error t Stat P-value Lower 95% Upper
95%
Intercept 33.293 1.372 24.272 0.000 30.440 36.145
Circumference 0.011 0.001 17.710 0.000 0.010 0.013
r2
SSE
SSTb1
b0
IE/MFGE 285: Week 1
Introduction & Syllabus Review; Introduction to IME
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Course Plan
• Introduction and Basics
• Data Management & Analysis
• Process Management
• Application
1
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Process Improvement Group
Dr. Eseonu (Pronounced Eh-son-u)
• Ph.D. Systems & Engineering Management,
Texas Tech University
• MSc. Engineering Management, University of
Minnesota-Duluth
• BASc. Mechanical Engineering, University of
Ottawa Office: Rogers 406
Phone: 541-737-0024
Email: [email protected]
Office Hours:
Tues &Thurs 11am – 12:30pm
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
PIGroup Overview
Improving process resilience through
Lean process improvement
Change management (conceptual change)
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Rationale
• 70% Change project failure rate (Judge, Thoresen, Pucik, &
Welbourne, 1999; Mazur, McCreery, & Rothenberg, 2012)
• Continuous improvement for quadruple aim, profit
(Hammer and Champy, 1993)
• Organizational vs individual level of
analysis (Judge, Thoresen, Pucik, & Welbourne, 1999; Mazur,
McCreery, &
Rothenberg, 2012)
4
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Teaching Assistants
• Mr. Ayush Aryal
• Office: Rogers 304 (till 9/30); Merryfield 107B
thereafter
• Office Hours: MW 11am – 1pm; F 9am – 11am
• Mr. Ben Tankus
• Ms. Natalie Avalos
5
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Course Details
6
• Canvas Site
• You are responsible for material, dates, etc
posted on Canvas
• Assigned readings – before lecture
• Mutual learning
• Professionalism and courteousness
• Purchase texts and Littlefield Subscription
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Course assignments
4 homework assignments that relate to 1 or more course
activities (50 points each)
2 take-home exams (100 points)
Team design project (100 points)
Participation points – quizzes, assigned activities, etc (50
points)
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Due Dates
Assignments and due dates posted to Canvas
All assignments due at the posted time.
Late assignments: Zero credit once I start talking.
8
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Grading Questions
Any questions or concerns about the grading of specific work
must be brought to the attention of the instructor within one
week of when the graded work is returned.
9
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
9/22/16
10
Miscellaneous items
• Bring laptops or tablets to class
• Bring Memory Jogger to class
• Most class sessions will be interactive, so come
prepared to participate.
• Ask questions, share opinions, share experiences.
This course is designed to help you learn more about
the IME discipline, I need your help to make sure we
are successful in this.
What IEs and MfgEs do?
Making and doing things optimally.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Making processes and products safer, faster, easier,
and less expensive and make work more rewarding.
How?
Improved business practices
Improved customer service
Improved product quality
Improved efficiency
Improved processes from worker’s perspective
Produce more products quickly
Better designed products
Reducing costs associated with new technologies
What do IE’s and MfgE’s do?
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Industrial Engineers and Manufacturing
Engineers work on
Project Management
Manufacturing, Production
and Distribution
Quality Measurement
and Improvement
Ergonomics /
Human Factors
Strategic
Planning
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
http://www.iienet2.org/media/disney/flowplayer.htm
Industrial Engineers at Work
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
9/22/16
15
Definitions Related to IME
engineering; the application of science and mathematics by
which
the properties of matter and the sources of energy in nature are
made
useful to people in structures, machines, products, systems, and
processes.
industrial engineering; engineer that deals with the design,
improvement, and installation of integrated systems of people,
materials, equipment, and energy.
manufacture; to make into a product suitable for use; to make
from raw materials by hand or by machinery; to produce
according to
an organized plan and with division of labor
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Terms associated with IE and MfgE
Cycle time
Optimal cost
Productivity and efficiency
Profitable
Quality and reliability
Safe
System optimization
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
IE/MfgE Work
• Production line performance
• Workplace layout and design
• Efficiency of baggage claim systems
• Scheduling of equipment
• Scheduling of flights
• Quality control
• Inventory control/ordering points
• Distribution and routing
• Organizational performance
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Where do Industrial and Manufacturing Engineers
Work?
Industrial Engineers are the people who strive for a more
efficient, effective, money-saving company. For this reason
they are demanded in a wide-range of businesses.
- Freightliner - Adidas
- Hewlett-Packard - Starbucks
- UPS - INTEL
- Tektronix - Boeing
- Motorola - IBM
18
Where are the Jobs?
Industrial Engineers are the people who strive
for a more efficient, effective, money-saving
company. For this reason they are demanded in
a wide-range of businesses.
- Freightliner - Adidas
- Hewlett-Packard - Starbucks
- UPS - INTEL
- Tektronix - Boeing
- Motorola - IBM
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
9/22/16
20
A Brief History of IME
• 1832 Charles W. Babbage
• Late 1800 -- Henry R. Towne stressed the
economic aspect of an engineer’s job.
• Henry L. Gantt was interested in selection of
workers and their training.
• Fredrick Winslow Taylor ("scientific
management”)
• The Gilbreth family
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
9/22/16
21
Degrees at OSU
BS, MS and PhD in Industrial Engineering
BS in Industrial Engineering with a business engineering
option; MS with Engineering Management option
BS, MS, PhD in Manufacturing
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
22
Areas of Specialization
Simulation
Operations research
Human factors/ergonomics
Information systems
Process engineering/control
Healthcare
Facilities/storage design
Management systems
Engineering economics
Humanitarian Engineering
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
9/22/16
23
Professional Societies
Institute of Industrial Engineers (IIE)
Formed in 1948 as AIIE
Proceeded by The Society of IE (1920)
Society of Manufacturing Engineers (SME)
Formed in 1932
Both societies have student memberships
and student organizations here on campus
Tools to get us started
Brainstorming; Affinity Diagrams; 5-Why’s
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Brainstorming
Creatively and efficiently generate a high volume of ideas
Process free of criticism and judgment
It is OK to seek clarification
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Affinity Diagram
Way to organize and summarize a large number of ideas into
natural groupings
To understand the essence of a problem which can lead to
breakthrough solutions
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
5-Whys
Tendency for individuals and groups to only develop a
superficial understanding of a problem.
The five whys is a question asking method used to explore the
cause/effect relationships underlying a particular problem.
Operating Room Example
Physical system
This system is governed
by the laws of physics!
Apply “Traditional”
Engineering Analysis:
• Mechanics/Dynamics
• Thermodynamics
• Materials Science
• Chemistry
• Electrical engineering
Organizational system (People and Processes)
The operation of this system is governed by
human behavior, process “laws”, and technology!
Apply IE Analysis:
• Simulation
• Operations research
• Statistics/Quality control
• Production and inventory theory
• Work measurement/improvement
• Human factors/ergonomics
• Organizational design
• Economic analysis
• Individual and team behaviors
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
9/22/16
29
In-Class Exercise
* Operating Room (OR) Change-Over Process
* Develop a list of at least 10 system design related issues that
an IE/
MfgE would have to consider when designing an OR and in
designing
the procedures for a change-over. Use brainstorming, affinity
diagrams
and 5-whys to help in this exercise.
Data Management &
Analysis Process Management
Planning
ApplicationAnalysis
Reporting
Tuesday’s class
Complete assigned readings (GR and MJ)
Bring Laptop to class

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  • 1. Facility Planning Facility Planning and Design Used with permission: Dr. David Porter Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 2 Presentation Outline —Introduction to § Facilities Planning § Facilities Layout —Generating layout alternatives with § Systematic Layout Planning (SLP) § Computerized Relative Allocation of Facilities Technique (CRAFT)
  • 2. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 3 Facilities Planning — Facilities planning determines how an activity’s tangible fixed assets best support achieving the activity's objectives — Facilities Planning Viewpoints § Civil Engineering § Electrical/Mechanical Engineering § Architectural § Construction Management/Contractor § Real Estate § Urban Planning § Industrial Engineering (IE) Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 3. Reporting 4 IE Viewpoint of Facilities Planning — Industrial Engineers focus on § Requirements § Resource allocation, and § Efficient use of resources — Facilities are the integration of many lower level systems § Space requirements with respect to flow and operations control § Personnel & Equipment Requirements § System design/layout with respect to flow and operations control § The use of information systems and technology to increase effectiveness § Movement within a facility and between facilities (i.e., location) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 5
  • 4. Example of a Manufacturing Facility Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 6 From an IE Viewpoint — Why is the equipment in this facility located as shown? — Why are they arranged as shown? — Why are there so many duplicated items? — Why is the facility so large or small? — How many people will be working in the facility? — Does this design meet requirements? — etc. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 5. 7 IE Approaches — Industrial Engineers develop models to understand, design and validate systems § Procedures • e.g., Systematic Layout Planning (SLP) § Analytical models • e.g., machine fraction equations, queuing models § Analytical layout models/software § Computer simulations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 8 Elements of Facilities Planning Facilities Planning Facilities
  • 6. Location Facilities Design Facilities Systems Production System Design Layout Design Handling/Storage Systems Design Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 9 Facilities Layout — Facilities layout is a design activity and as such there is often a lot of
  • 7. art (i.e., experience) and application-specific knowledge that must be utilized when developing a layout § Grocery store layout vs. department store layout § Layout of an engineering complex § Layout of an educational/research building § Layout of plants that produce different products • Vehicle vs. computers Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 10 Facilities Layout — There are no recipes for the layout — In reality, politics and other organizational considerations will place constraints on layouts — All material presented related to layout design is decision support Data Management &
  • 8. Analysis Process Management Planning ApplicationAnalysis Reporting 11 Facilities Layout — Information needed to design a layout 1. What are the “blocks” or departments that constitute units or areas within a layout? 2. Building/facility footprint • Exits/entrances/docks, etc. • Columns, ceiling height, location of utilities. • Other? 3. Flow measurement/Adjacency measurement 4. Space requirements • Departments § Workstations, aisles, storage, meeting rooms, etc. • Central storage • Administration • Etc. Data Management &
  • 9. Analysis Process Management Planning ApplicationAnalysis Reporting 12 Units or Areas within a Layout — Normally this is given as input data § Often will follow organizational and/or production system structure — Examples § Engineering complexes – Various product development departments are given § Batch production system – Sheet metal press lines • Various press line sizes are given — Support functions must be included § Storage, admin./engineering offices, IT support, cafeterias, lockers, restrooms, conference rooms, etc. Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 10. Reporting 13 Building Footprint — Often also given as input data — Items of particular concern that affect flow in a facility § Location of shipping/receiving docks § Location of entrances/exits § Columns § Ceiling heights Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 14 Facilities Layout — Measuring flow § Quantitative • Appropriate when large volumes of material/people move between departments § Qualitative
  • 11. • How important is adjacency to two departments? • Often applied to the layout of office environments — Other types of flow? § Sound § RF signals Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 15 Quantitative Flow Measurement — Captured in a From-To chart — Units are the number of trips of equal ease of movement per time unit § e.g., moving a large die is much more effort than moving a small bin of parts To From Stores Milling Turning Press Plate Assembly Warehouse Stores X 12 6 9 1 4 Milling X 7 2 Turning 3 X 4 Press X 3 1 1
  • 12. Plate 3 1 X 4 3 Assembly 1 X 7 Warehouse X Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 16 Qualitative Flow Measurement — Captured in what is called an Activity Relationship Chart — The criticality of department adjacency is captured on the following scale: § A – Absolutely necessary § E – Especially important § I – Important § O – Ordinary closeness OK § U – Unimportant § X – Undesirable — Assessed through interviews and meetings Data Management &
  • 13. Analysis Process Management Planning ApplicationAnalysis Reporting 17 Example Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 18 Generating Layout Alternatives — Objective § Develop a good or optimal block layout — Block layout § A two dimensional top down view arrangement of departments in a facility § Departments are represented as rectangles (or shapes constructed from rectangles)
  • 14. with the relative area of the department captured by the size of the rectangle Office Fab Paint Stores Assembly Maint Sup Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 19 Generating Layout Alternatives — Procedures § Construction procedures • “Greenfield” layout à the layout of a new facility § Improvement procedures • Changes/ improvements to existing facilities Data Management & Analysis Process Management
  • 15. Planning ApplicationAnalysis Reporting 20 Systematic Layout Planning - SLP — A qualitative method 1. Use a from-to or flow-between chart and/or an activity relationship chart, and space requirements to create a relationship diagram 2. Next, use the relationship diagram to create a space relationship diagram 3. The space relationship diagram is used to generate layout alternatives in the form of block layouts Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 21
  • 16. SLP - Example Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 22 SLP – In Class Example — Four depts. are to be located on a 600’ x 1000’ bldg. The expected personnel traffic flows and area requirements for departments are shown in the tables below a. Develop a block layout design using SLP Dept. A B C D A 0 250 25 240 B 125 0 400 335 C 100 0 0 225 D 125 285 175 0 Dept. Dimen. A 200’x200’
  • 17. B 400’x400’ C 600’x600’ D 200’x200’ From-To Chart Fr om To Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 23 SLP – In Class Example 1) Construct a Flow-Between Chart 2) Rank the department pairs in order of greatest two-way flow Data Management &
  • 18. Analysis Process Management Planning ApplicationAnalysis Reporting 24 SLP – In Class Example 3) Create an Activity-Relationship diagram 4) Create a Space-Relationship diagram Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 25 SLP – In Class Example 4) Generate layout options Dept. Dimen. A 200’x200’ B 400’x400’
  • 19. C 600’x600’ D 200’x200’ 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 26 SLP – In Class Example 4) Generate layout options
  • 20. Dept. Dimen. A 200’x200’ B 400’x400’ C 600’x600’ D 200’x200’ 1 2 3 4 5 6 7 8 9 10 1 C C C C C C D D A A 2 C C C C C C D D A A 3 C C C C C C B B B B 4 C C C C C C B B B B 5 C C C C C C B B B B 6 C C C C C C B B B B 1 2 3 4 5 6 7 8 9 10 1 C C C C C C C C C D 2 C C C C C C C C C D 3 C C C C C C C C C D 4 C C C C C C C C C D 5 A A B B B B B B B B 6 A A B B B B B B B B Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 27 Computer-Aided Layout
  • 21. — Computer-aided layout supports layout design § Generate many layout alternatives in a short time § Helps conduct what if and sensitivity analysis § Modeling the problem helps understand the system perspective — Commercial software § Most algorithms have not yet been commercialized although they are available as research code and used by consultants § Educational software is available • We will use one package Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 28 Computer-Aided Layout — Inputs 1. From-To chart and/or 2. Activity relationship chart § You may have the flexibility to map the A,E,I,O,U,X scale to
  • 22. different numerical scales § Can change results by changing the scaling § Can have negative values for relationships (e.g., X) 3. Usually, the building footprint § May be restricted to a rectangular footprint Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 29 Computer-Aided Layout — Layout development criteria § When constructing a layout, an algorithm implemented on a computer needs specific criteria to compare alternative layouts § These criteria may differ depending on the form of input data characterizing flow/relationships § The criteria must be computable (i.e., quantitative) and is referred to as the
  • 23. objective function of the layout problem • From-To chart as input Ø Distance-based objective • Activity relationship chart as input Ø Adjacency-based objective Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 30 Specific Computerized Layout Algorithms — CRAFT – Computerized Relative Allocation of Facilities Technique § Inputs • From-To chart • Cost matrix • Initial layout § Objective • Distance based § Department representation • Discrete grids • No shape restrictions
  • 24. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 31 Specific Computerized Layout Algorithms — CRAFT automatically implements a modified pairwise interchange method § Many details must be addressed — CRAFT Algorithm 1. Start with an initial layout with all departments made up of individual square grids (Note: each grid represents the same amount of space) 2. Estimate the best two-way department exchange assuming department centroids exchange exactly § Departments i and j exchange Ø New centroid i = centroid j Ø New centroid j = centroid i § Only consider exchanging adjacent departments
  • 25. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 32 Specific Computerized Layout Algorithms — CRAFT Algorithm (cont’d) 3. Execute the exchange if the estimated cost of the best exchange in (2) is lower than the best cost found so far § The actual result of the exchange is problem-dependent 4. If the estimated cost of the best exchange in (2) is higher than the best cost found so far, stop § Else, go to 1 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 33
  • 26. CRAFT Example — Consider four departments labeled A, B, C and D. Each department is represented by a 1 x 1 square. The following data are given: — Assuming department A is fixed, compute the actual cost of this layout using the computerized version of CRAFT A B C D A -- 6 0 3 B -- 5 0 C -- 0 D -- A B C D A -- 2 0 3 B 2 -- 1 0 C 0 1 -- 0 D 3 0 0 -- A B C D Initial layout Flow-Between Matrix Unit Cost Matrix Commemorative Speech Assignment Specific Purpose: To pay tribute to an object or invention which has made a difference in your life and/or the life of others (no electronics such as includes TV, cell phone, computer, TiVo, etc.) Length:
  • 27. 3-4 minutes (thirty-second grace period either way). 1. Start with a narrative or quotation (see bartleby.com for example) to elevate the person, occasion, subject, etc. (attention-getter) 2. Explain why you are honoring this (credibility) and want to pay a tribute (reveal topic). Formulate one simple sentence to express why your subject deserves to be honored (your thesis!) 3. Continue using the format of an informative speech, but pay attention to LANGUAGE, make sure it is elevated and inspiring. 3. Consider the type of ceremony where this speech will take place. Is it a formal and ceremonial gathering? What does your audience think about the subject? Why are they there? 4. Refer to the particular contributions, achievements or merits of the honoree. Give concrete examples. This can be a list or a narrative (story). 5. Consider your honoree in light of the values and beliefs of your audience. Why are these contributions, this way of thinking valuable to the audience? Why does the audience need to value these same traits? 6. Can you come up with a brief story, an illustration, a quote, a creative and organized visual aid, and/or figurative language? Can you reveal any not well known factors or achievement? How does your subject benefit society? 7. Praise the special characteristics or virtues. Tell the public an insight story, but only mention the positive sides. 8. What are the major specific characteristics or virtues your honoree possesses or caused you to possess? Courage, compassion, kindness, great defender of family values, wisdom, energy, charity, etc?
  • 28. 9. End your speech with a short quotation, or refer back to the original quotation or story, reminding the audience why your subject is truly worthy of being honored. 10. REMEMBER: Be honest and sincere (focusing on the positive), use expressive and elevated language, but do not over exaggerate. Organization: · A written preparation outline is required for this speech and should include all relevant content and sources. Follow the model of an INFORMATIVE SPEECH. · A speaker's outline/notecard is recommended when delivering the speech. (For an example see pages 218-224 in your text.) It should be DELIVERED, not READ. Sources: · At leastone outside source must be mentioned in the speech and referenced properly (APA style) in outline. Visual Aid: A visual aid is required. It may be a Power Point presentation, but the object is best. Self-Assessment: video critique is required Use the ALT & F1 keys together to move through the document Save this file with a unique name to your storage device. Commemorative Speech Outline
  • 29. Name: Date: November 26, 2016Topic reviewed: _____ Topic: Commemorative Speech Purpose: MACROBUTTON FormFieldOptions To Commemorate Specific purpose: To commemorate my BDU’s (Battle Dress Uniform) Thesis: My uniform has had the biggest impact on my life as a person and my life after the military. Introduction: I. A lot of people look at this uniform and see just that, something that a soldier, or an airman wears. It doesn’t have many distinguishing marks besides a nametape, and stripe insignia. However, I see an amount of miles traveled that would circle the earth six times. I see the holidays spent away from home. I see the groups of strangers that became family. II. My uniform carries it’s own authority, it’s own memories, and even though I no longer wear it, will grant me opportunities such as this one the rest of my life. III. I spent six years and thousands of hours and miles in this uniform, and never regret a single minute of it. IV. I want to share with you the reasons why this is more than just a uniform, it’s part of me and part of my life. It’s part of my character, and part of my memory. It too has it’s own personality that we formed together. It saw a boy turned into a man, and earned stripes just like he had. Body:
  • 30. I. This uniform gave a young kid purpose, direction, and life experience. A. After I graduated high school, I was like many other kids. I was searching. I was as a spotlight, searching for the escapee that once I had found, I wouldn’t release. Joining the Air Force ended that search. B. The uniform taught me financial responsibility, pride in having a strong self-image, and the responsibility it takes to wake up every day and do something because it’s the right thing to do. It also taught me the history of many before me that paid the ultimate price so the ones after them could carry on their legacy. C. I have met more people and seen more places than most twenty nine year olds. If I hadn’t have had this uniform, I know for a fact that I would not have seen everything that I have. My uniform has carried on with me like a candle that refuses to burn away, and it continues to burn well after I have left the military. II. Many aspects of my life are affected today because of my uniform. A. My wife and I live in a house that I bought after being approved for a VA loan. For veterans, the VA is the sleepless advocate.
  • 31. B. I’m in this class today working toward a better future for myself and for my family because I spent time in a uniform. I receive a benefit called the Montgomery G.I. bill that pays for my school and my expenses. C. Every year Americans, and their allies the world over, stop on November eleventh and pay tribute to the uniform and those who wear or have worn it. On that day I am humbled to know that so many people, if only for a small grain in the sand of time, remember what the uniform means. Conclusion: I. Once my uniform became part of my attire, I soon found out that it also becomes part of your life, and you become part of a culture that many before you have formed. The uniform ushers you into a club that has no membership card, or monthly dues. The club goes by only a single name, “veteran”. II. Sir Robert Baden-Powell was quoted as saying “The uniform makes for brotherhood, since when universally adopted it covers up all differences of class and country.” Even though a uniform may get dirty or worn out, even though it’s colors may fade and need to be replaced, the uniform itself lives on. You see men and women don’t make uniforms, uniforms make men and women. Thank you for your time today, and I appreciate your attention. References: Hint: To help remember how to properly list your references go to http://www.sinclair.edu/facilities/library/research/index.cfm Thinkexist.com. (Sir Robert Baden-Powell, founder of the boy scouts) Audience analysis information:
  • 32. In the space below discuss how you have tailored your speech for this particular audience and situation. Include specific demographic, environmental and audience expectation information you considered important to this speech. My audience includes… People who may have family members who are in or who have been in the military, or another profession that wears a uniform. My environment involves… being in a formal setting, possibly behind a podium and being required to give the most polished speech yet for our class. Audience expectations for this speech include … my sharing what my uniform means in descriptive language, and sharing some of the values that has. Choices I've made include…personal things I’ve learned, usage of simile and personification. Trying to describe a uniform as an idea or a value as opposed to just an object. Copyright © 2012 Processes, Variation, & Measurement Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 33. Process Definition: Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Processes and Performance Measurement "You can't control what you don't measure". (Deming, W.E. Out of the Crisis. Cambridge, MA: MIT, 1986. ) Without measurement there is no way to know how a process is performing; therefore there is no way to improve it. By measuring the voice of the customer and the voice of the process, gaps can be identified between the two. This information gives us direction in our improvement efforts as we begin closing the gap. Data Management & Analysis Process Management
  • 34. Planning ApplicationAnalysis Reporting The Deming Cycle for Process Improvement Plan Do Study (or Check) Act Plan Do Study Act Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Seven Tools of Quality Control Scatter Diagram Histogram Pareto Chart Flowchart
  • 35. Cause and Effect Diagram Run (trend) chart Control Chart Pareto Diagram Practice Defective Items # Percent Defective O-rings missing 16 Improper torque 25 Loose connections 193 Fitting burrs 47 Cracked connectors 131 Total 412 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Process Mapping (Flowcharts)
  • 36. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Common flow chart symbols Activity Delay Transportation Decision Inspection Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Process Mapping Practice Customer enters grocery order and a computer-generated order sheet is generated
  • 37. Order sheet is taken to the warehouse Order sheet is given to warehouse supervisor Supervisor separates orders according to work area Order forms taken to work areas Picker separates out order forms Produce picker fills each order and places on conveyor to dairy Dairy picker fills each order and place on conveyor to meat aisle Meat picker fills each order and sends to shipping Shipping inspects each order Shipping loads each order onto cart based on route Order ships Cause/ Effect Diagrams aka Ishikawa Diagrams Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Sources of Variation Data Management & Analysis Process Management
  • 38. Planning ApplicationAnalysis Reporting Ishikawa diagrams Fishbone diagram example Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Fishbone diagram how-to’s (1) 1. Clearly define the effect or symptom for which the causes must be identified. 2. Place the effect or symptom being explored at the right, enclosed in a box. 3. Draw the central spine as a thick line pointing to it from the left.
  • 39. 4. Brainstorm to identify the "major categories" of possible causes using the 6 “sources of variation” Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Fishbone diagram how-to’s (2) 5. Place each major category in a box and connect it to the central spine. 6. Within each major category, ask "Why does this happen? Why does this condition exist?" 7. Continue to add clauses to each branch until the fishbone is completed. 8. Once all the bones have been completed, identify the likely, actionable root cause.
  • 40. Process Control Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Measures of location Average and mean Median Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Variation Definition:
  • 41. Random variation: Nonrandom variation: Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Deming on Variation “If I had to reduce my message to management to just a few words, I’d say it all had to do with variation” Deming (1982) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 42. Measures of variation Range Variance Standard deviation Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Inspecting in Quality Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 43. Prevention Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Designed Experiments Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Run Charts Cereal Box Weight on 10/31/06 3 3.5 4
  • 44. 4.5 5 5.5 6 0 5 10 15 20 25 Time (hour) W ei gh t ( gr am s) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Control Charts
  • 45. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Control Charts Different types of control charts are used depending on the type of data you have Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Control Chart Example 0.49 0.495 0.5
  • 46. 0.505 0.51 0.515 0.52 0.525 0.53 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Other Process Improvement Tools Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Interrelationship Digraph When should I use this technique?
  • 47. Why should I use this technique? Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Interrelationship Digraph Arrange the ideas Look for relationships Determine the direction of influence Tally the arrows Identify the Driver & Outcome Draw final Interrelationship Diagraph Affinity Diagram Practice Create an AD for “What are the issues related to performing well on engineering exams?” Two groups of 9, develop 20 – 30 cards Place on white board
  • 48. arranged in logical groups Develop a summary card for each grouping Spending enough time reviewing class notes Force Field Diagram Practice Create an Force Field Diagram to identify those factors that support and work against students spending more time studying for their exams. Two groups of 9, develop at least 5 forces driving towards the idea situation and 5 that keep you from the ideal situation Draw final force field on white board using a “T” to separate + Driving Forces Restraining Forces - Study group pressure Roommate wants to go out for dinner Data Management &
  • 49. Analysis Process Management Planning ApplicationAnalysis Reporting Class Plan • Data Management & Analysis • Histograms • Scatter Plots • Regression 1 Data Analysis in Excel Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics
  • 50. Measures of central tendency • Mean (average): Most popular measure of central tendency Xbar = sum (from I to n) of Xi divided by n Where xi = Observation number i n = Total number of observations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of central tendency • Median: Middle observation within a data set when the observations are arranged in increasing order If number of values (n) in data set is odd, then the median is the middle observation
  • 51. If number of values (n) in data set is even then median = (x n/2 + xn/2 +1)/2 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of central tendency • Mode: Value that occurs more often than any of the others in a data set Does not always exist Example: Scores from a test Is not necessarily unique, i.e. a data set can have more than one mode = 2 modes è Bimodal > 2 modes è Multimodal Applicable to both quantitative and qualitative data Particularly useful in marketing and inventory considerations
  • 52. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of dispersion • Range :Difference between the largest and smallest values in a data set Xlargest - Xsmallest Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of dispersion • Variance: Measures how a set of measurements fluctuate relative to the mean of the data set:
  • 53. S2 = sum (x – xbar)2 /(n-1) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of dispersion Standard deviation: What is the problem with the variance? It has different units of measurement (e.g., cm2) To return data to its original units; Standard deviation = square root of variance Graphical Analysis Examples Data Management & Analysis Process Management
  • 54. Planning ApplicationAnalysis Reporting Bar or Column Graph Displays frequency of observations that fall into nominal categories Color distribution for a random package of M&Ms 0 5 10 15 20 25 brown red yellow green orange blue Color Q ty Data Management & Analysis Process Management
  • 55. Planning ApplicationAnalysis Reporting Line Chart Shows trends in data at equal intervals 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 M ax S ke w A
  • 58. L ig ht Performance Category S ca n Ti m e (S ec on ds ) CCD1 CCD2 LR LCCD CMOS Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 59. Reporting Graphical methods Acceptable graph EDC Warehouse Test Results for Read Time ALL SYSTEMS 0.64 0.20 0.52 0.81 0.66 N/A 1.46 0.88 0 1 2 1 2 3 4 5 6 7 8 RFID System R
  • 60. ea d Ti m e (s ec s/ re ad ) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Graphical methods Better graph EDC Warehouse Test Results for Read Time ALL SYSTEMS
  • 61. 0.88 1.46 N/A 0.66 0.81 0.52 0.20 0.64 0 2 A B C D E F G H RFID System R ea d Ti m e (s ec
  • 62. s/ re ad ) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Graphical Analysis Details Always label axis with titles and units Always use chart titles Use scales that are appropriate to the range of data being plotted Use legends only when they add value Use both points and lines on line graphs only if it is appropriate – don’t use if the data is discrete Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 63. Reporting Histograms Histograms are pictorial representations of the distribution of a measured quantity or of counted items. It is a quick tool to use to display the average and the amount of variation present. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Histogram example Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting The Pareto principle
  • 64. Dr. Joseph Juran (of total quality management fame) formulated the Pareto Principle after expanding on the work of Wilfredo Pareto, a nineteenth century economist and sociologist. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Pareto example Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Example In the manufacturer of integrated circuits (IC), many different features are patterned onto the silicon wafer. To make sure that the devices work properly, these features must be specific sizes.
  • 65. Process engineers will measure various feature sizes across the product. This data set contains feature size measurements for multiple cassettes, multiple wafers, and multiple locations on each wafer. Graph the data using a scatter plot Complete a histogram of the data. Complete a Pareto diagram Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Fitting Lines to Paired Data • Engineers frequently collect paired data in order to understand • Relationships between paired data is often developed graphically • Mathematical relationships between paired data can provide additional insight • Regression analysis is a mathematical analysis technique used to determine something about the relationship between random variables.
  • 66. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis Regression models are used primarily for the purpose of prediction Regression models typically involve A dependent or response variable Represented as à y One or more independent or explanatory variables Represented as à x1, x2, …,xn Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis
  • 67. X Y X Y X Y X Y Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis Model SIMPLE LINEAR REGRESSION MODEL However, both β0 and β1 are population parameters εi à Represents the random error in Y for each observation i that occurs
  • 68. Yi = β0 + β1Xi + εi Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis Model Since we will be working with samples, the previous model becomes Where b0 = Y intercept (estimate of β0) Value of Y when X = 0 b1 = Slope (estimate of β1) Expected change in Y per unit change in X Yi = Predicted (estimated) value of Y Yi = b0 + b1Xi ^ ^ Data Management & Analysis Process Management
  • 69. Planning ApplicationAnalysis Reporting Regression Analysis Model What happened with the error term? Unfortunately, it is not gone. We still have errors in the estimated values iii ŶYe −= Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis X Y 0
  • 70. 0 Positive Straight-Line Relationship e1 e2 e3 e4 e5 Yi = b0 + b1Xi b0 xΔ yΔ b1 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Least Squares Method
  • 71. Mathematical technique that determines the values of b0 and b1 It does so by minimizing the following expression ∑ = n 1i 2 ieMin ( ) ( )[ ] 2n 1i i10i 2n 1i ii n 1i 2 i XbbYŶYeMin ∑∑∑ === +−=−=
  • 72. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Assessing Fit How do we know how good a regression model is? Coefficient of determination à r2 where a value close to 1 suggests a good fit Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 1 When all you need is the slope and intercept of a best fit line, you can use Excel functions (SLOPE and INTERCEPT) to determine these values. You can also use RSQ to find the coefficient of determination (R2)
  • 73. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Performing a linear regression in Excel is very easy. Once the data have been graphed, regression can be done very simply. Just because it is easy, does not mean that a linear regression always makes sense. Graph the data first and always inspect the “quality” of the fit. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel When regression is done with the trend line feature of Excel, the fitted curve is automatically added to the graph.
  • 74. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 2 The process of performing a linear regression for a slope and intercept requires the computation of various sums using both the independent (x) values and dependant (y) values in the data set being analyzed. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 2 You can calculate the slope b1 and intercept b0 with formulas, but Excel will do this for you.
  • 75. When trying to find the best fit, always start with a linear fit (unless it is obvious that won’t work), then try exponential and polynomial fits if you think you can get a better fit. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 3 There is an add-in under tools (regression) that can provide you all the details resulting from a linear regression. It is easy to use, but interpreting the results requires some understanding of regression terminology
  • 76. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression in EXCEL Pumpkin experiment Regression Statistics Multiple R 0.968 R Square 0.937 Adjusted R Square 0.934 Standard Error 3.260 Observations 23.000 ANOVA df SS MS F Significance F Regression 1 3334.239 3334.239 313.650 0.000 Residual 21 223.239 10.630 Total 22 3557.478 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 33.293 1.372 24.272 0.000 30.440 36.145 Circumference 0.011 0.001 17.710 0.000 0.010 0.013 r2 SSE
  • 77. SSTb1 b0 IE/MFGE 285: Week 2 Production Planning and Control Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Measuring Processes Little’s Law: 37 I = Inventory or “line length” T = Throughput or flow time R = Flow rate into process I = T x R Data Management &
  • 78. Analysis Process Management Planning ApplicationAnalysis Reporting Measuring Processes Capacity: maximum rate of output of a process Process capacity = minimum (capacity of resource 1, capacity of resource 2, capacity of resource 3, ….) þ The throughput, or the number of units a facility can hold, receive, store, or produce in a period of time þ Determines fixed costs þ Determines if demand will be satisfied Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 79. Measuring Processes Bottleneck: Capacity of the most constrained (smallest capacity) resource 39 Flow rate = minimum (supply, demand, capacity) Week 2 Lecture 3, Cont’d Types of Production Systems 40 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Process Focus projects, job shops (machine, print, carpentry)
  • 80. Standard Register Repetitive (autos, motorcycles) Harley Davidson Product Focus (commercial baked goods, steel, glass) Nucor Steel High Variety one or few units per run, high variety (allows customization) Changes in Modules modest runs, standardized modules Changes in Attributes (such as grade, quality, size, thickness, etc.) long runs only Mass Customization Dell Computer Co.
  • 81. Poor Strategy (Both fixed and variable costs are high) Low Volume Repetitive Process High Volume Volume 41 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Many inputs
  • 82. High variety of outputs Print Shop Process Focus 42 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting þ Facilities often organized as assembly lines þ Characterized by modules with parts and assemblies made previously þ Modules may be combined for many output options þ Less flexibility than process-focused
  • 83. facilities but more efficient Repetitive Focus 43 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Raw materials and module inputs Modules combined for many output options Few modules
  • 84. Automobile Assembly Line Repetitive Focus 44 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting þ Facilities are organized by product þ High volume but low variety of products þ Long, continuous production runs enable efficient processes þ Typically high fixed cost but low variable cost þ Generally less skilled labor Product Focus 45
  • 85. Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Many inputs Output variation in size, shape, and packaging Bottling Plant Product Focus 46 Adopted from Heizer and Render (2007) Operations Management
  • 86. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting þ The rapid, low-cost production of goods and service to satisfy increasingly unique customer desires þ Combines the flexibility of a process focus with the efficiency of a product focus Mass Customization 47 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Modular
  • 87. techniques Mass Customization Effective scheduling techniques Rapid throughput techniques Repetitive Focus Modular design Flexible equipment Process-Focused High variety, low volume Low utilization (5% to 25%) General-purpose equipment Product-Focused Low variety, high volume High utilization (70% to 90%) Specialized equipment Mass Customization 48 Adopted from Heizer and Render (2007) Operations Management
  • 88. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Process Focus (Low volume, high variety) Repetitive Focus (Modular) Product Focus (High-volume, low-variety) Mass Customization (High-volume, high-variety) Small quantity, large variety of products
  • 89. Long runs, standardized product made from modules Large quantity, small variety of products Large quantity, large variety of products General purpose equipment Special equipment aids in use of assembly line Special purpose equipment Rapid changeover on flexible equipment Comparison 49
  • 90. Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Process Focus (Low volume, high variety) Repetitive Focus (Modular) Product Focus (High-volume, low-variety) Mass Customization (High-volume, high-variety) Operators are
  • 91. broadly skilled Employees are modestly trained Operators are less broadly skilled Flexible operators are trained for the necessary customization Many job instructions as each job changes Repetition reduces training and changes in job instructions Few work orders and job instructions because jobs standardized Custom orders require
  • 92. many job instructions Comparison 50 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Identify or Define: Capacity Planning 51 þ Capacity þ Design capacity þ Effective capacity þ Utilization Adopted from Heizer and Render (2007) Operations Management
  • 93. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Capacity Definition 52 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Modify capacity Use capacity Intermediate- range planning Subcontract Add personnel Add equipment Build or use inventory
  • 94. Add shifts Short-range planning Schedule jobs Schedule personnel Allocate machinery* Long-range planning Add facilities Add long lead time equipment * * Limited options exist Planning and Capacity 53 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Types of Capacity
  • 95. 54 Adopted from Heizer and Render (2007) Operations Management þ Design capacity is the maximum theoretical output of a system þ Normally expressed as a rate þ Effective capacity is the capacity a firm expects to achieve given current operating constraints þ Often lower than design capacity Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Utilization is the percent of design capacity achieved Efficiency is the percent of effective capacity achieved Utilization = Efficiency =
  • 96. Utilization and Efficiency 55 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls Adopted from Heizer and Render (2007) Operations Management Example Data Management & Analysis Process Management Planning
  • 97. ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls Example Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls Utilization = 148,000/201,600 = 73.4%
  • 98. Example Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls Utilization = 148,000/201,600 = 73.4% Example Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management
  • 99. Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls Utilization = 148,000/201,600 = 73.4% Efficiency = 148,000/175,000 = 84.6% Example Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour
  • 100. Bakery operates 7 days/week, 3 - 8 hour shifts Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls Utilization = 148,000/201,600 = 73.4% Efficiency = 148,000/175,000 = 84.6% Example Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Efficiency = 84.6% Efficiency of new line = 75% Expected Output = (Effective Capacity)(Efficiency) = (175,000)(.75) = 131,250 rolls Example
  • 101. Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Actual production last week = 148,000 rolls Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, 3 - 8 hour shifts Efficiency = 84.6% Efficiency of new line = 75% Expected Output = (Effective Capacity)(Efficiency) = (175,000)(.75) = 131,250 rolls Example Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management
  • 102. Planning ApplicationAnalysis Reporting 1. Making staffing changes 2. Adjusting equipment and processes þ Purchasing additional machinery þ Selling or leasing out existing equipment 3. Improving methods to increase throughput 4. Redesigning the product to facilitate more throughput Matching Demand and Capacity 64 Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 103. (a) Leading demand with incremental expansion D em an d Expected demand New capacity (b) Leading demand with one-step expansion D em an d New capacity Expected demand (d) Attempts to have an average capacity with incremental expansion D
  • 104. em an d New capacity Expected demand (c) Capacity lags demand with incremental expansion D em an d New capacity Expected demand Capacity Expansion Adopted from Heizer and Render (2007) Operations Management Data Management & Analysis Process Management Planning
  • 105. ApplicationAnalysis Reporting þ Specifies the order in which jobs should be performed at work centers þ Priority rules are used to dispatch or sequence jobs þ FIFO: First in, first out þ SPT: Shortest processing time þ EDD: Earliest due date þ LPT: Longest processing time Adopted from Heizer and Render (2007) Operations Management Sequencing jobs Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Job Job Work (Processing) Time (Days)
  • 106. Job Due Date (Days) A 6 8 B 2 6 C 8 18 D 3 15 E 9 23 Apply the four popular sequencing rules to these five jobs Adopted from Heizer and Render (2007) Operations Management Sequencing Example Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Job Sequence Job Work (Processing)
  • 107. Time Flow Time Job Due Date Job Lateness A 6 6 8 0 B 2 8 6 2 C 8 16 18 0 D 3 19 15 4 E 9 28 23 5 28 77 11 FIFO: Sequence A-B-C-D-E Adopted from Heizer and Render (2007) Operations Management FIFO Example Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 108. Reporting Job Sequence Job Work (Processing) Time Flow Time Job Due Date Job Lateness A 6 6 8 0 B 2 8 6 2 C 8 16 18 0 D 3 19 15 4 E 9 28 23 5 28 77 11 FCFS: Sequence A-B-C-D-E Average completion time = = 77/5 = 15.4 days Total flow time Number of jobs Utilization = = 28/77 = 36.4%
  • 109. Total job work time Total flow time Average number of jobs in the system = = 77/28 = 2.75 jobs Total flow time Total job work time Average job lateness = = 11/5 = 2.2 days Total late days Number of jobs Adopted from Heizer and Render (2007) Operations Management FIFO Example Calculations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Job Sequence Job Work
  • 110. (Processing) Time Flow Time Job Due Date Job Lateness B 2 2 6 0 D 3 5 15 0 A 6 11 8 3 C 8 19 18 1 E 9 28 23 5 28 65 9 SPT: Sequence B-D-A-C-E Adopted from Heizer and Render (2007) Operations Management SPT Example Data Management & Analysis Process Management Planning
  • 111. ApplicationAnalysis Reporting Job Sequence Job Work (Processing) Time Flow Time Job Due Date Job Lateness B 2 2 6 0 D 3 5 15 0 A 6 11 8 3 C 8 19 18 1 E 9 28 23 5 28 65 9 Average completion time = = 65/5 = 13 days Total flow time Number of jobs Utilization = = 28/65 = 43.1%
  • 112. Total job work time Total flow time Average number of jobs in the system = = 65/28 = 2.32 jobs Total flow time Total job work time Average job lateness = = 9/5 = 1.8 days Total late days Number of jobs Adopted from Heizer and Render (2007) Operations Management SPT Calculations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Job Sequence Job Work (Processing)
  • 113. Time Flow Time Job Due Date Job Lateness B 2 2 6 0 A 6 8 8 0 D 3 11 15 0 C 8 19 18 1 E 9 28 23 5 28 68 6 EDD: Sequence B-A-D-C-E Adopted from Heizer and Render (2007) Operations Management EDD Example Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 114. Reporting Job Sequence Job Work (Processing) Time Flow Time Job Due Date Job Lateness B 2 2 6 0 A 6 8 8 0 D 3 11 15 0 C 8 19 18 1 E 9 28 23 5 28 68 6 Average completion time = = 68/5 = 13.6 days Total flow time Number of jobs Utilization = = 28/68 = 41.2% Total job work time
  • 115. Total flow time Average number of jobs in the system = = 68/28 = 2.43 jobs Total flow time Total job work time Average job lateness = = 6/5 = 1.2 days Total late days Number of jobs Adopted from Heizer and Render (2007) Operations Management EDD Calculations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Job Sequence Job Work (Processing)
  • 116. Time Flow Time Job Due Date Job Lateness E 9 9 23 0 C 8 17 18 0 A 6 23 8 15 D 3 26 15 11 B 2 28 6 22 28 103 48 LPT: Sequence E-C-A-D-B Adopted from Heizer and Render (2007) Operations Management LPT Example Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 117. Reporting Job Sequence Job Work (Processing) Time Flow Time Job Due Date Job Lateness E 9 9 23 0 C 8 17 18 0 A 6 23 8 15 D 3 26 15 11 B 2 28 6 22 28 103 48 Average completion time = = 103/5 = 20.6 days Total flow time Number of jobs Utilization = = 28/103 = 27.2% Total job work time
  • 118. Total flow time Average number of jobs in the system = = 103/28 = 3.68 jobs Total flow time Total job work time Average job lateness = = 48/5 = 9.6 days Total late days Number of jobs Adopted from Heizer and Render (2007) Operations Management LPT Calculations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Rule Average Completion Time (Days)
  • 119. Utilization (%) Average Number of Jobs in System Average Lateness (Days) FIFO 15.4 36.4 2.75 2.2 SPT 13.0 43.1 2.32 1.8 EDD 13.6 41.2 2.43 1.2 LPT 20.6 27.2 3.68 9.6 Adopted from Heizer and Render (2007) Operations Management Adopted from Heizer and Render (2007) Operations Management Summary of Results Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 120. Reporting þ No one sequencing rule excels on all criteria þ SPT does well on minimizing flow time and number of jobs in the system þ But SPT moves long jobs to the end which may result in dissatisfied customers þ FIFO does not do especially well (or poorly) on any criteria but is perceived as fair by customers þ EDD minimizes lateness Adopted from Heizer and Render (2007) Operations Management Comparison of Sequencing Rules IE/MFGE 285: Week 2 Introduction & Syllabus Review; Introduction to IME Data Management & Analysis Process Management Planning
  • 121. ApplicationAnalysis Reporting Class Plan • Data Management & Analysis • Histograms • Scatter Plots • Regression 1 Data Analysis in Excel Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics
  • 122. Measures of central tendency • Mean (average): Most popular measure of central tendency Xbar = sum (from I to n) of Xi divided by n Where xi = Observation number i n = Total number of observations Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of central tendency • Median: Middle observation within a data set when the observations are arranged in increasing order If number of values (n) in data set is odd, then the median is the middle observation
  • 123. If number of values (n) in data set is even then median = (x n/2 + xn/2 +1)/2 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of central tendency • Mode: Value that occurs more often than any of the others in a data set Does not always exist Example: Scores from a test Is not necessarily unique, i.e. a data set can have more than one mode = 2 modes è Bimodal > 2 modes è Multimodal Applicable to both quantitative and qualitative data Particularly useful in marketing and inventory considerations
  • 124. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of dispersion • Range :Difference between the largest and smallest values in a data set Xlargest - Xsmallest Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 125. Reporting Descriptive Statistics Measures of dispersion • Variance: Measures how a set of measurements fluctuate relative to the mean of the data set: S2 = sum (x – xbar)2 /(n-1) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Descriptive Statistics Measures of dispersion Standard deviation: What is the problem with the variance? It has different units of measurement (e.g., cm2) To return data to its original units; Standard deviation = square root of variance
  • 126. Graphical Analysis Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting In-class Example Strength testing of materials often involves a tensile test in which a sample of the material is held between two mandrels and increasing force (stress) is applied. A stress-strain curve is generated to provide information about a particular material. Strain is the amount of elongation of the sample divided by the original sample length. Data Management & Analysis Process Management
  • 127. Planning ApplicationAnalysis Reporting Data Analysis Example Stress Strain (Mpa) (mm/mm) 0.000 0.000 5.380 0.003 10.760 0.006 16.140 0.009 21.520 0.012 25.110 0.014 30.490 0.017 33.340 0.020 44.790 0.035 52.290 0.052 57.080 0.079 59.790 0.124 60.100 0.167 59.580 0.212 57.500 0.264 55.420 0.300 The stress-strain data taken from a soft, ductile material tested in this way is tabulated to the left. Graph this data – Strain is the independent (x) and Stress is the dependent (y) variable.
  • 128. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Graphical methods Quantitative vs. Qualitative data Quantitative data (numerical data) Cost of a computer (continuous) Number of production defects (discrete) Weight of a person (continuous) Parts produced this month (discrete) Temperature of etch bath (continuous) Graphical tools Line charts Histograms Scatter charts Data Management & Analysis
  • 129. Process Management Planning ApplicationAnalysis Reporting Quantitative vs. Qualitative data Quantitative data (categorical and attribute) Type of equipment (Manual, automated, semi-automated) Operator (Tom, Nina, Jose) Graphical tools Bar charts Pie charts Pareto charts Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 130. Getting Started Classify data Quantitative vs. Qualitative Continuous or discrete (quantitative) Chose the right graphical tool Chose axes and scales to provide best “view” of data Label graphs to eliminate ambiguity Graphical Analysis Examples Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Bar or Column Graph Displays frequency of observations that fall into nominal categories Color distribution for a random package of M&Ms
  • 131. 0 5 10 15 20 25 brown red yellow green orange blue Color Q ty Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Line Chart Shows trends in data at equal intervals
  • 135. n T im e (S ec o n d s) CCD1 CCD2 LR LCCD CMOS Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Graphical methods Acceptable graph
  • 136. EDC Warehouse Test Results for Read Time ALL SYSTEMS 0.64 0.20 0.52 0.81 0.66 N/A 1.46 0.88 0 1 2 1 2 3 4 5 6 7 8 RFID System R e a d T
  • 137. im e (s e cs /r e a d ) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Graphical methods Better graph EDC Warehouse Test Results for Read Time
  • 138. ALL SYSTEMS 0.88 1.46 N/A 0.66 0.81 0.52 0.20 0.64 0 2 A B C D E F G H RFID System R ea d Ti m e (s
  • 139. ec s/ re ad ) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Graphical Analysis Details Always label axis with titles and units Always use chart titles Use scales that are appropriate to the range of data being plotted Use legends only when they add value Use both points and lines on line graphs only if it is appropriate – don’t use if the data is discrete Data Management & Analysis
  • 140. Process Management Planning ApplicationAnalysis Reporting Histograms Histograms are pictorial representations of the distribution of a measured quantity or of counted items. It is a quick tool to use to display the average and the amount of variation present. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Histogram example Data Management & Analysis
  • 141. Process Management Planning ApplicationAnalysis Reporting The Pareto principle Dr. Joseph Juran (of total quality management fame) formulated the Pareto Principle after expanding on the work of Wilfredo Pareto, a nineteenth century economist and sociologist. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Pareto example Data Management & Analysis
  • 142. Process Management Planning ApplicationAnalysis Reporting Example In the manufacturer of integrated circuits (IC), many different features are patterned onto the silicon wafer. To make sure that the devices work properly, these features must be specific sizes. Process engineers will measure various feature sizes across the product. This data set contains feature size measurements for multiple cassettes, multiple wafers, and multiple locations on each wafer. Graph the data using a scatter plot Complete a histogram of the data. Complete a Pareto diagram Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 143. Fitting Lines to Paired Data • Engineers frequently collect paired data in order to understand • Relationships between paired data is often developed graphically • Mathematical relationships between paired data can provide additional insight • Regression analysis is a mathematical analysis technique used to determine something about the relationship between random variables. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis Regression models are used primarily for the purpose of prediction Regression models typically involve A dependent or response variable
  • 144. Represented as à y One or more independent or explanatory variables Represented as à x1, x2, …,xn Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis X Y X Y X Y X Y
  • 145. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis Model SIMPLE LINEAR REGRESSION MODEL However, both β0 and β1 are population parameters εi à Represents the random error in Y for each observation i that occurs Yi = β0 + β1Xi + εi Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 146. Reporting Regression Analysis Model Since we will be working with samples, the previous model becomes Where b0 = Y intercept (estimate of β0) Value of Y when X = 0 b1 = Slope (estimate of β1) Expected change in Y per unit change in X Yi = Predicted (estimated) value of Y Yi = b0 + b1Xi ^ ^ Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis Model
  • 147. What happened with the error term? Unfortunately, it is not gone. We still have errors in the estimated values iii ŶYe −= Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression Analysis X Y 0 0 Positive Straight-Line Relationship e1
  • 148. e2 e3 e4 e5 Yi = b0 + b1Xi b0 xΔ yΔ b1 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Least Squares Method Mathematical technique that determines the values of b0 and b1 It does so by minimizing the following expression
  • 149. ∑ = n 1i 2 ieMin ( ) ( )[ ] 2n 1i i10i 2n 1i ii n 1i 2 i XbbYŶYeMin ∑∑∑ === +−=−= Data Management & Analysis
  • 150. Process Management Planning ApplicationAnalysis Reporting Assessing Fit How do we know how good a regression model is? Coefficient of determination à r2 where a value close to 1 suggests a good fit Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 1 When all you need is the slope and intercept of a best fit line, you can use Excel functions (SLOPE and INTERCEPT) to determine these values. You can also use RSQ to find the coefficient of determination (R2)
  • 151. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Performing a linear regression in Excel is very easy. Once the data have been graphed, regression can be done very simply. Just because it is easy, does not mean that a linear regression always makes sense. Graph the data first and always inspect the “quality” of the fit. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel
  • 152. When regression is done with the trend line feature of Excel, the fitted curve is automatically added to the graph. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 2 The process of performing a linear regression for a slope and intercept requires the computation of various sums using both the independent (x) values and dependant (y) values in the data set being analyzed. Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 153. Reporting Linear Regression in Excel Method 2 You can calculate the slope b1 and intercept b0 with formulas, but Excel will do this for you. When trying to find the best fit, always start with a linear fit (unless it is obvious that won’t work), then try exponential and polynomial fits if you think you can get a better fit. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Linear Regression in Excel Method 3 There is an add-in under tools (regression)
  • 154. that can provide you all the details resulting from a linear regression. It is easy to use, but interpreting the results requires some understanding of regression terminology Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Regression in EXCEL Pumpkin experiment Regression Statistics Multiple R 0.968 R Square 0.937 Adjusted R Square 0.934 Standard Error 3.260 Observations 23.000 ANOVA df SS MS F Significance F
  • 155. Regression 1 3334.239 3334.239 313.650 0.000 Residual 21 223.239 10.630 Total 22 3557.478 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 33.293 1.372 24.272 0.000 30.440 36.145 Circumference 0.011 0.001 17.710 0.000 0.010 0.013 r2 SSE SSTb1 b0 IE/MFGE 285: Week 1 Introduction & Syllabus Review; Introduction to IME Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Course Plan
  • 156. • Introduction and Basics • Data Management & Analysis • Process Management • Application 1 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Process Improvement Group Dr. Eseonu (Pronounced Eh-son-u) • Ph.D. Systems & Engineering Management, Texas Tech University • MSc. Engineering Management, University of Minnesota-Duluth • BASc. Mechanical Engineering, University of Ottawa Office: Rogers 406 Phone: 541-737-0024 Email: [email protected] Office Hours:
  • 157. Tues &Thurs 11am – 12:30pm Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting PIGroup Overview Improving process resilience through Lean process improvement Change management (conceptual change) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Rationale • 70% Change project failure rate (Judge, Thoresen, Pucik, &
  • 158. Welbourne, 1999; Mazur, McCreery, & Rothenberg, 2012) • Continuous improvement for quadruple aim, profit (Hammer and Champy, 1993) • Organizational vs individual level of analysis (Judge, Thoresen, Pucik, & Welbourne, 1999; Mazur, McCreery, & Rothenberg, 2012) 4 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Teaching Assistants • Mr. Ayush Aryal • Office: Rogers 304 (till 9/30); Merryfield 107B thereafter • Office Hours: MW 11am – 1pm; F 9am – 11am • Mr. Ben Tankus • Ms. Natalie Avalos 5
  • 159. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Course Details 6 • Canvas Site • You are responsible for material, dates, etc posted on Canvas • Assigned readings – before lecture • Mutual learning • Professionalism and courteousness • Purchase texts and Littlefield Subscription Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 160. Course assignments 4 homework assignments that relate to 1 or more course activities (50 points each) 2 take-home exams (100 points) Team design project (100 points) Participation points – quizzes, assigned activities, etc (50 points) Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Due Dates Assignments and due dates posted to Canvas All assignments due at the posted time. Late assignments: Zero credit once I start talking. 8 Data Management & Analysis Process Management Planning
  • 161. ApplicationAnalysis Reporting Grading Questions Any questions or concerns about the grading of specific work must be brought to the attention of the instructor within one week of when the graded work is returned. 9 Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 9/22/16 10 Miscellaneous items • Bring laptops or tablets to class • Bring Memory Jogger to class • Most class sessions will be interactive, so come prepared to participate. • Ask questions, share opinions, share experiences.
  • 162. This course is designed to help you learn more about the IME discipline, I need your help to make sure we are successful in this. What IEs and MfgEs do? Making and doing things optimally. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Making processes and products safer, faster, easier, and less expensive and make work more rewarding. How? Improved business practices Improved customer service Improved product quality Improved efficiency Improved processes from worker’s perspective Produce more products quickly Better designed products Reducing costs associated with new technologies
  • 163. What do IE’s and MfgE’s do? Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Industrial Engineers and Manufacturing Engineers work on Project Management Manufacturing, Production and Distribution Quality Measurement and Improvement Ergonomics / Human Factors Strategic Planning Data Management &
  • 164. Analysis Process Management Planning ApplicationAnalysis Reporting http://www.iienet2.org/media/disney/flowplayer.htm Industrial Engineers at Work Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 9/22/16 15 Definitions Related to IME engineering; the application of science and mathematics by which the properties of matter and the sources of energy in nature are made useful to people in structures, machines, products, systems, and processes.
  • 165. industrial engineering; engineer that deals with the design, improvement, and installation of integrated systems of people, materials, equipment, and energy. manufacture; to make into a product suitable for use; to make from raw materials by hand or by machinery; to produce according to an organized plan and with division of labor Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Terms associated with IE and MfgE Cycle time Optimal cost Productivity and efficiency Profitable Quality and reliability Safe System optimization Data Management & Analysis Process Management Planning
  • 166. ApplicationAnalysis Reporting IE/MfgE Work • Production line performance • Workplace layout and design • Efficiency of baggage claim systems • Scheduling of equipment • Scheduling of flights • Quality control • Inventory control/ordering points • Distribution and routing • Organizational performance Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Where do Industrial and Manufacturing Engineers Work? Industrial Engineers are the people who strive for a more efficient, effective, money-saving company. For this reason they are demanded in a wide-range of businesses. - Freightliner - Adidas - Hewlett-Packard - Starbucks
  • 167. - UPS - INTEL - Tektronix - Boeing - Motorola - IBM 18 Where are the Jobs? Industrial Engineers are the people who strive for a more efficient, effective, money-saving company. For this reason they are demanded in a wide-range of businesses. - Freightliner - Adidas - Hewlett-Packard - Starbucks - UPS - INTEL - Tektronix - Boeing - Motorola - IBM Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 9/22/16 20
  • 168. A Brief History of IME • 1832 Charles W. Babbage • Late 1800 -- Henry R. Towne stressed the economic aspect of an engineer’s job. • Henry L. Gantt was interested in selection of workers and their training. • Fredrick Winslow Taylor ("scientific management”) • The Gilbreth family Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 9/22/16 21 Degrees at OSU BS, MS and PhD in Industrial Engineering BS in Industrial Engineering with a business engineering option; MS with Engineering Management option BS, MS, PhD in Manufacturing
  • 169. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 22 Areas of Specialization Simulation Operations research Human factors/ergonomics Information systems Process engineering/control Healthcare Facilities/storage design Management systems Engineering economics Humanitarian Engineering Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting
  • 170. 9/22/16 23 Professional Societies Institute of Industrial Engineers (IIE) Formed in 1948 as AIIE Proceeded by The Society of IE (1920) Society of Manufacturing Engineers (SME) Formed in 1932 Both societies have student memberships and student organizations here on campus Tools to get us started Brainstorming; Affinity Diagrams; 5-Why’s Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Brainstorming Creatively and efficiently generate a high volume of ideas Process free of criticism and judgment It is OK to seek clarification
  • 171. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting Affinity Diagram Way to organize and summarize a large number of ideas into natural groupings To understand the essence of a problem which can lead to breakthrough solutions Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 5-Whys Tendency for individuals and groups to only develop a superficial understanding of a problem. The five whys is a question asking method used to explore the cause/effect relationships underlying a particular problem.
  • 172. Operating Room Example Physical system This system is governed by the laws of physics! Apply “Traditional” Engineering Analysis: • Mechanics/Dynamics • Thermodynamics • Materials Science • Chemistry • Electrical engineering Organizational system (People and Processes) The operation of this system is governed by human behavior, process “laws”, and technology! Apply IE Analysis: • Simulation • Operations research • Statistics/Quality control • Production and inventory theory • Work measurement/improvement • Human factors/ergonomics • Organizational design • Economic analysis • Individual and team behaviors
  • 173. Data Management & Analysis Process Management Planning ApplicationAnalysis Reporting 9/22/16 29 In-Class Exercise * Operating Room (OR) Change-Over Process * Develop a list of at least 10 system design related issues that an IE/ MfgE would have to consider when designing an OR and in designing the procedures for a change-over. Use brainstorming, affinity diagrams and 5-whys to help in this exercise. Data Management & Analysis Process Management Planning ApplicationAnalysis
  • 174. Reporting Tuesday’s class Complete assigned readings (GR and MJ) Bring Laptop to class