Six Sigma Case Study 
v.2 
Dr. Ron Tibben-Lembke 
SCM 494
Six Sigma Case Study - POI 
 Paper Organizers International 
 Filing, organizing, and paper shuffling services 
 Uses MSD (metallic securing devices) 
 Increasing complaints from the Paper Shuffling 
Department (PSD) about MSDs breaking and 
failing to keep papers together 
 Customers’ papers can get mixed together 
 Purchasing wants to eliminate MSD complaints
Mission Statement 
 “Put the right information in the right place.” 
 Management created a list of objectives and 
projects that will support those objectives
President Director of Paper Shuffling Dept 
Business 
Objectives 
Increase # 
of orders 
Minimize 
production 
costs 
Eliminate 
employee 
complaints 
Business 
Indicators 
# orders per 
Month 
(c chart) 
Increase # 
of POI 
services 
used by each 
customer 
1. avg. # 
services used 
per customer, 
per quarter 
2. St dev. of 
# serv. used 
(x-bar and s) 
Prod costs 
per month 
(I-MR chart) 
# employee 
complaints per 
month (c chart) 
Area 
Objectives 
Increase # 
orders in 
PSD 
Increase # 
Services 
used by each 
customer in 
PSD 
Minimize 
production 
costs in PSD 
Eliminate PSD 
employee 
complaints 
Area 
Indicators 
No. orders in 
PSD / mo. 
(c chart) 
Potential 6 
Sigma projects 
New customer 
promotions 
project 
1. avg. # 
services used 
per PSD 
cust, per Q 
2. St dev. Of 
# serv. used 
(x-bar and s) 
Employee 
Morale project 
# PSD employee 
Complaints/mo 
(c chart) 
MSD quality 
project 
Production 
Costs in PSD/mo 
(I-MR chart) 
Existing 
customer 
promotions 
project
Current Costs 
 Management considers costs production 
costs in PSD to be too high 
 Avg. Production costs of $1.1m per month 
 Standard deviation is $116k. 
 R-bar / d2 = $116,672 
 Average is “too high” but process is under control
1400000 
1300000 
1200000 
1100000 
1000000 
900000 
800000 
Subgroup 0 10 20 30 40 50 60 70 
Individual Value 
UCL=1393879 
Mean=1096880 
LCL=799881 
400000 
300000 
200000 
100000 
0 
Moving Range 
UCL=364863 
R=111672 
LCL=0 
I and MR Chart for Production C
Production costs Normally distributed 
890000 930000 970000 1010000 1050000 1090000 1130000 1170000 1210000 1250000 1290000 
10 
5 
0 
Production Costs in PSD 
Fr equen cy 
Histogram of Production Costs in PSD
Prioritizing Six Sigma Projects 
Potential Six Sigma Projects 
Business objective 
Increase # orders 
Increase # POI services 
used by each customer 
Minimize production 
costs 
Eliminate employee 
complaints 
Weighted average of 
potential 
Weight 
New Customer 
Promotions 
Existing 
Customer 
Promotions 
MSD 
Quality 
Employee 
Morale 
0.35 3 3 0 0 
0.10 1 3 0 0 
0.40 0 0 9 3 
0.15 0 0 9 9 
1.15 1.35 4.95 2.55
Starting MSD Project 
Champion and process owner make initial charter. 
1. What is the name of the process? MSD purchasing 
2. What is the aim? Purchase MSDs that improve 
productivity and morale of PSD 
3. What is economic rationale? 
a. Why do it at all? 
 Un-durable clips (<4 bends): lost papers, frustrated 
employees lead to higher processing costs, inefficient 
labor costs (60% cannot withstand test) 
 Functionality (broken in box): sorting costs, frustrated 
employees (60% of boxes have >5 broken MSDs)
Additional charter questions 
b. Why do it now? High production costs, complaints 
c. What business objectives are supported by project? Min. 
costs, reduce complaints 
d. Consequences of not doing: lower profits, more employee 
complaints 
e. What projects have higher priority? None. 
4. What is the problem statement? 
 Low-quality MSDs create additional production costs and 
employee frustration 
5. What is goal or desired state? 
 100-fold increase in durability 0.6% from 60% 
 10-fold every 2 years, so 100 over 4 year project 
 100-fold would take from 600,000 DPMO to 6,000 DPMO, 
set goal as 4 sigma (p. 739)
More charter questions 
6. What is scope? 
a. Boundaries? When purchasing receives purchase orders, 
ends when MSD put in inventory 
b. What is out of bounds? How employees use MSDs 
c. What resources? $30,000, including salaries 
d. Who can approve expenditures? Process owner 
e. Can they go over $30,000? No. 
f. What are obstacles? Budget, 21 weeks 
g. What time commitment expected? Friday 8-9am 
meetings, progress reports 
h. What about regular duties? OT may be required, not in 
budget
Gantt Chart for Project 
Steps Resp. Week 
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 
Define BA X X X X X X 
Mesure BA X X 
Analyze BA X X X 
Improve BA X X X X X X 
Control BA X X X X
MSD Project Benefits 
7. Benefits: 
a. Soft benefits: eliminating complaints from PSD 
and increasing employee morale 
b. Hard benefits (financial): minimizing labor costs
Labor savings – Clipping expenses 
 100 employees, 40 hrs/wk, spend 10% of time 
clipping = 400 hrs / wk clipping 
 $25 / hr * 400 hrs * 50 wks = $500,000 annual 
clipping expenses 
 60% clips defective = $300,000? Currently? 
 0.62% defective = $3,100? Improved system? 
 Annually, 20,000 hrs clipping = 10 employees 
 60% = 12,000 wasted clipping hours currently 
 0.62% = 124 wasted hours under improved system 
 Need 6 fewer employees 
 This does not including time lost from clips failing 
later, on work in process
Material Cost Savings 
 300,000 projects per year, 10 clips each 
=3,000,000 clips needed each year. 
 0.60 defect means 1/(1-0.6) = 2.5 clips used 
for each one needed = 7,500,000 used 
 0.0062 means 1/(1-0.0062) = 1.00625 
=3,018,000 clips used 
 Savings of 4,482,000 clips = $44,820 per 
year
Team Members 
 Champion 
 Process Owner 
 Team Leader – Black Belt 
 Team member 1 
 Team member 2 
 Finance representative 
 IT representative
SIPOC Start 
Purchasing 
receives order from 
Paper Shuffling 
Department 
Purchasing agent 
calls vendor 
Does vendor 
have MSD 
in stock? 
Place order with 
vendor 
Receive order from 
vendor 
Store product 
received into 
inventory (new 
boxes go on bottom 
back of shelf) 
PSD removes 
products from 
inventory 
PSD uses Product 
Stop 
No 
Yes 
-Suppliers 
-Inputs 
-Process 
-Outputs 
-Customers
Voice of the Customer 
 What emotions come to mind when you think about MSDs? 
 What needs and wants come to mind when you think about MSDs? 
 What complaints or problems would you like to mention about 
MSDs? 
 3 themes: 
 Variation in durability 
 Variation in color 
 Variation in functionality (# broken MSDs in each box) 
 CTQ-Critical to Quality factors Tech Specs 
 Ability to withstand bending >= 4 bends w/o breaking 
 The number of different MSD colors = 1 color of MSDs 
 The number of broken MSDs in a box. <= 5 broken in box
Project Objectives 
 1. Decrease (direction) the percentage that cannot 
withstand four or more bends without breaking 
(measure) bought by the purchasing department 
(process) to 0.62 percent (goal) by Jan. 1, 2005 
(deadline). Go for 4 sigma! 
 2. Decrease (direction) the percentage of boxes of 
MSDs with more than five broken clips (measure) 
bought by the purchasing deparment (process) to 
0.62 percent (goal) by Jan. 1, 2005 (deadline) Go 
for 4 sigma! 
 3. What happened to colors?
Measure phase-I Operationally Define 
CTQs 
 Operational definition for CTQ1: Durability 
 Take top-front box 
 Close eyes, randomly pull one out 
 Count number of bends until breaking 
 Do not count bend being made when it breaks 
 If >= bends, then MSD conforms, else defective
Operationally Define CTQ2 - 
Functionality 
 Take top-front box 
 Count the number of broken clips 
 If number of broken is <= 5, box is 
conforming 
 If number is > 5, box is defective 
 Use same boxes for both operational 
definitions
Measure Phase-II Gage repeatability and 
reproducibility 
 10 top-front boxes tested by 2 inspectors, 
each box twice 
 Gage (or gauge) run chart shows no 
difference between the measurements from 
the two different inspectors
Box Inspector Count Functionality 
1 1 1 10 
1 1 2 10 
1 2 1 10 
1 2 2 10 
2 1 1 9 
2 1 2 9 
2 2 1 9 
2 2 2 9 
3 1 1 5 
3 1 2 5 
3 2 1 5 
3 2 2 5 
4 1 1 4 
4 1 2 4 
4 2 1 4 
4 2 2 4 
5 1 1 5 
5 1 2 5 
5 2 1 5 
5 2 2 5 
Box Inspector Count Functionality 
6 1 1 9 
6 1 2 9 
6 2 1 9 
6 2 2 9 
7 1 1 6 
7 1 2 6 
7 2 1 6 
7 2 2 6 
8 1 1 6 
8 1 2 6 
8 2 1 6 
8 2 2 6 
9 1 1 9 
9 1 2 9 
9 2 1 9 
9 2 2 9 
10 1 1 11 
10 1 2 11 
10 2 1 11 
10 2 2 11
Gage name: 
Date of study: 
Reported by: 
Tolerance: 
Misc: 
Runchart of Fuctionality by Box, Inspector 
11 
10 
9 
8 
7 
6 
5 
4 
Fuctionality 
Box 1 2 3 4 5 
1 
2 
11 
10 
9 
8 
7 
6 
5 
4 
Fuctionality 
Box 6 7 8 9 10
CTQ Baselines 
 Hourly inspections for both 
CTQs 
 Durability is # bends for one 
MSD before breaking 
 Functionality is # of broken 
clips 
 Yield is percentage of 
batches passing the 
standard 
 6/16 passed each 
 Very similar to claim of 60% 
unacceptable 
Hour 
Dura-bility 
Function 
-ality 
Shift 1-Hr1 5 12 
Shift 1-Hr2 7 4 
Shift 1-Hr3 3 8 
Shift 1-Hr4 2 6 
Shift 1-Hr5 9 1 
Shift 1-Hr6 2 5 
Shift 1-Hr7 1 11 
Shift 1-Hr8 1 9 
Shift 2-Hr1 12 6 
Shift 2-Hr2 9 6 
Shift 2-Hr3 3 9 
Shift 2-Hr4 1 5 
Shift 2-Hr5 1 4 
Shift 2-Hr6 1 5 
Shift 2-Hr7 1 9 
Shift 2-Hr8 4 10 
Yield 0.375 0.375
15 
10 
5 
0 
-5 
Individual Value 
Subgroup 0 5 10 15 
UCL=12.21 
Mean=3.875 
LCL=-4.458 
10 
5 
0 
Moving Range 
1 
UCL=10.24 
R=3.133 
LCL=0 
I and MR Chart for Durability 
 I-MR charts show durability not stable over time. 
 Different vendors, but deal with that soon
7 
6 
5 
4 
3 
2 
1 
0 
1 2 3 4 5 6 7 8 9 10 11 12 
Durability 
number of boxes box 
 Durability “dot plot” – shows how many boxes had a 
particular durability level 
 Graph doesn’t look like Normal distribution 
 Maybe Poisson distribution
 C-chart not in control, shift 2 tester bent more 
slowly, caused it to last longer
 C-chart for Functionality under control
Dot-plot for Functionality 
 Dot-plot for Functionality looks Normally 
distributed
Detailed 
Process Map 
Start 
Purchasing 
receives order from 
Paper Shuffling 
Department 
Purchasing agent 
calls vendor 
Does vendor 
have MSD 
in stock? 
Place order with 
vendor 
Receive order from 
vendor 
MSDs placed into 
inventory (new boxes 
go on the bottom 
back of shelf) 
PSD removes 
box from 
inventory 
PSD uses MSDs 
Stop 
No 
Yes 
X1 – Vendor (Ibix or Office Optimum) 
X2 – Size (Small or Large) 
X3 – Ridges (With or Without) 
X4 = Cycle time from order to receipt for MSDs 
X5 = Discrepancy in count from order placed and 
order received 
X6 = Cycle time to place product in inventory 
X7 = Inventory shelf time (in days) 
X8 = Type of usage (Large stack of paper or 
Small stack of paper) 
 X’s also could be 
defined in 
measure phase
Operational Definitions for each X 
 X1 – Vendor Ibix Office Optimum 
 X2 – Size Small Large 
 X3 – Ridges With Without 
 X8 – Usage Large stack Small stack 
 X4 – Cycle time, ordering to receipt (days) 
 X5 – Discrepancy: # ordered vs. received 
 X6 – Cycle time to place in inventory (days) 
 X7 – inventory shelf life (in days) 
Perform gage study on each, to make sure we can 
measure consistently (repeatability and reproducibility)
Baseline Data 
 Every hour for 2 weeks – 80 samples 
 Collect info about: 
 X1 vendor 
 X2 size 
 X3 ridges 
 Y1 Durability 
 Y2 Functionality 
 Other factors studied separately
Sample Day Hour X1 X2 X3 X7 Durability Function 
1 Mon 1 1 0 0 7 2 5 
2 Mon 2 0 1 0 7 2 9 
3 Mon 3 0 0 1 7 10 7 
4 Mon 4 0 1 0 7 1 4 
5 Mon 5 0 0 0 7 7 3 
6 Mon 6 0 1 1 7 2 5 
7 Mon 7 0 1 1 7 1 9 
8 Mon 8 0 0 0 7 7 5 
9 Tue 1 0 1 0 8 2 8 
10 Tue 2 0 1 0 8 1 7 
11 Tue 3 0 1 0 8 1 13 
12 Tue 4 1 1 1 8 9 5 
13 Tue 5 1 1 0 8 9 9 
14 Tue 6 1 1 1 8 10 11 
15 Tue 7 1 1 1 8 10 11 
16 Tue 8 0 0 1 8 8 9 
17 Wed 1 1 1 1 9 8 11 
18 Wed 2 1 0 0 9 1 11 
19 Wed 3 1 1 1 9 10 11 
20 Wed 4 0 0 0 9 7 11 
21 Wed 5 1 1 1 9 9 9 
22 Wed 6 0 0 1 9 9 5 
23 Wed 7 1 0 1 9 2 11 
24 Wed 8 1 0 0 9 1 10 
25 Thu 1 1 0 1 10 1 14 
26 Thu 2 0 1 1 10 1 10 
27 Thu 3 1 1 1 10 8 13 
28 Thu 4 0 0 1 10 10 12 
29 Thu 5 0 0 0 10 7 14 
30 Thu 6 0 1 1 10 3 13
Sample Day Hour X1 X2 X3 X7 Durability Function 
31 Thu 7 0 0 0 10 9 13 
32 Thu 8 1 1 1 10 8 11 
33 Fri 1 0 1 0 1 2 0 
34 Fri 2 0 1 0 1 2 1 
35 Fri 3 0 1 0 1 1 6 
36 Fri 4 0 1 0 1 3 3 
37 Fri 5 0 1 0 1 2 2 
38 Fri 6 1 1 0 1 10 6 
39 Fri 7 0 0 1 1 10 0 
40 Fri 8 0 1 0 1 2 0 
41 Mon 1 0 1 1 4 3 4 
42 Mon 2 0 1 0 4 3 7 
43 Mon 3 0 1 1 4 3 3 
44 Mon 4 0 0 0 4 10 2 
45 Mon 5 1 1 0 4 8 5 
46 Mon 6 0 1 1 4 3 4 
47 Mon 7 1 0 0 4 1 4 
48 Mon 8 0 0 1 4 10 5 
49 Tue 1 1 1 1 5 11 6 
50 Tue 2 1 0 1 5 3 4 
51 Tue 3 1 1 0 5 10 6 
52 Tue 4 1 0 1 5 3 5 
53 Tue 5 1 0 0 5 2 4 
54 Tue 6 0 0 0 5 9 5 
55 Tue 7 0 0 1 5 9 5 
56 Tue 8 0 1 0 5 3 7 
57 Wed 1 0 0 1 6 9 5 
58 Wed 2 1 1 0 6 9 7 
59 Wed 3 0 0 0 6 9 5 
60 Wed 4 1 0 0 6 2 6
Sample Day Hour X1 X2 X3 X7 Durability Function 
61 Wed 5 1 0 1 6 2 5 
62 Wed 6 1 1 1 6 10 5 
63 Wed 7 0 1 0 6 1 7 
64 Wed 8 0 1 0 6 2 5 
65 Thu 1 0 0 1 7 10 7 
66 Thu 2 1 1 0 7 9 5 
67 Thu 3 1 0 0 7 1 7 
68 Thu 4 0 1 0 7 2 5 
69 Thu 5 1 0 1 7 1 6 
70 Thu 6 0 1 0 7 1 5 
71 Thu 7 1 0 0 7 1 8 
72 Thu 8 1 1 1 7 10 5 
73 Fri 1 0 1 1 8 3 7 
74 Fri 2 1 1 1 8 9 7 
75 Fri 3 1 0 0 8 1 13 
76 Fri 4 0 1 1 8 2 8 
77 Fri 5 0 1 1 8 3 9 
78 Fri 6 1 1 1 8 8 10 
79 Fri 7 1 0 1 8 3 11 
80 Fri 8 0 0 1 8 10 11 
Legend: 
X1 = Vendor (0 = Office Optimum and 1 = Ibix) 
X2 = Size (0 = Small and 1 = Large) 
X3 = Ridges (0 = Without and 1 = With) 
X7 = Inventory shelf time, in days
Baseline results 
 Durability 0.4625 
 Functionality 0.425 
 X1: Office Optimum 56.25% 
 X2: Small 42.50% 
 X3: Without ridges 50% 
 X7: Shelf life average 6.5 days 
 X7: Shelf life st. dev 2.5 days
Vendor (X1) and Durability 
Maybe Ibix is more durable? 
Ibix 
Off Opt.
Size (X2) and Durability 
Maybe small is more durable? 
Large 
Small
Ridges (X3) and Durability 
Ridges 
No ridges 
Maybe ridges are more durable?
Shelf Life (X7) and Durability
Vendor (X1) and Functionality 
Maybe Ibix is more functional? 
Ibix 
Off Opt.
Size (X2) and Functionality 
Maybe large is more functional? 
Large 
Small
Ridges (X3) and Functionality 
Ridges 
No ridges 
Maybe ridges are more functional?
Shelf Life (X7) and Functionality
Conclusions 
 Durability – no large effects from any X’s. 
 Vendor (X1=1 = Ibix) improves functionality 
 Size (X2=1= large) improves functionality 
 Ridges (X3=1) seem to improve functionality 
 Shelf Life (X7) – lower values have better 
functionality 
 Best plan is to buy Ibix large MSDs with 
ridges
Office Ibix small Lg No with Shelf 
Opt. Ridges Ridges Life
Conculsions – 2 
 Best to buy 
 Ibix 
 Small 
 With Ridges 
 Shelf life doesn’t matter?
X1=Off Opt 
X1=Ibix 
Small Large 
No ridges Ridges
Conclusion? 
 Ridges don’t seem to affect durability 
 Buy small Office Optimum, or Large Ibix!
Functionality Main Effects 
Age seems to be biggest factor, ridges, Vendor
Functionality Interaction Plot 
X2=small 
X2=large 
No ridges Ridges
Improve Phase 
 Conduct experiment to determine ideal 
parameter values
Six sigma case study-a good approach with example

Six sigma case study-a good approach with example

  • 1.
    Six Sigma CaseStudy v.2 Dr. Ron Tibben-Lembke SCM 494
  • 2.
    Six Sigma CaseStudy - POI  Paper Organizers International  Filing, organizing, and paper shuffling services  Uses MSD (metallic securing devices)  Increasing complaints from the Paper Shuffling Department (PSD) about MSDs breaking and failing to keep papers together  Customers’ papers can get mixed together  Purchasing wants to eliminate MSD complaints
  • 3.
    Mission Statement “Put the right information in the right place.”  Management created a list of objectives and projects that will support those objectives
  • 4.
    President Director ofPaper Shuffling Dept Business Objectives Increase # of orders Minimize production costs Eliminate employee complaints Business Indicators # orders per Month (c chart) Increase # of POI services used by each customer 1. avg. # services used per customer, per quarter 2. St dev. of # serv. used (x-bar and s) Prod costs per month (I-MR chart) # employee complaints per month (c chart) Area Objectives Increase # orders in PSD Increase # Services used by each customer in PSD Minimize production costs in PSD Eliminate PSD employee complaints Area Indicators No. orders in PSD / mo. (c chart) Potential 6 Sigma projects New customer promotions project 1. avg. # services used per PSD cust, per Q 2. St dev. Of # serv. used (x-bar and s) Employee Morale project # PSD employee Complaints/mo (c chart) MSD quality project Production Costs in PSD/mo (I-MR chart) Existing customer promotions project
  • 5.
    Current Costs Management considers costs production costs in PSD to be too high  Avg. Production costs of $1.1m per month  Standard deviation is $116k.  R-bar / d2 = $116,672  Average is “too high” but process is under control
  • 6.
    1400000 1300000 1200000 1100000 1000000 900000 800000 Subgroup 0 10 20 30 40 50 60 70 Individual Value UCL=1393879 Mean=1096880 LCL=799881 400000 300000 200000 100000 0 Moving Range UCL=364863 R=111672 LCL=0 I and MR Chart for Production C
  • 7.
    Production costs Normallydistributed 890000 930000 970000 1010000 1050000 1090000 1130000 1170000 1210000 1250000 1290000 10 5 0 Production Costs in PSD Fr equen cy Histogram of Production Costs in PSD
  • 8.
    Prioritizing Six SigmaProjects Potential Six Sigma Projects Business objective Increase # orders Increase # POI services used by each customer Minimize production costs Eliminate employee complaints Weighted average of potential Weight New Customer Promotions Existing Customer Promotions MSD Quality Employee Morale 0.35 3 3 0 0 0.10 1 3 0 0 0.40 0 0 9 3 0.15 0 0 9 9 1.15 1.35 4.95 2.55
  • 9.
    Starting MSD Project Champion and process owner make initial charter. 1. What is the name of the process? MSD purchasing 2. What is the aim? Purchase MSDs that improve productivity and morale of PSD 3. What is economic rationale? a. Why do it at all?  Un-durable clips (<4 bends): lost papers, frustrated employees lead to higher processing costs, inefficient labor costs (60% cannot withstand test)  Functionality (broken in box): sorting costs, frustrated employees (60% of boxes have >5 broken MSDs)
  • 10.
    Additional charter questions b. Why do it now? High production costs, complaints c. What business objectives are supported by project? Min. costs, reduce complaints d. Consequences of not doing: lower profits, more employee complaints e. What projects have higher priority? None. 4. What is the problem statement?  Low-quality MSDs create additional production costs and employee frustration 5. What is goal or desired state?  100-fold increase in durability 0.6% from 60%  10-fold every 2 years, so 100 over 4 year project  100-fold would take from 600,000 DPMO to 6,000 DPMO, set goal as 4 sigma (p. 739)
  • 11.
    More charter questions 6. What is scope? a. Boundaries? When purchasing receives purchase orders, ends when MSD put in inventory b. What is out of bounds? How employees use MSDs c. What resources? $30,000, including salaries d. Who can approve expenditures? Process owner e. Can they go over $30,000? No. f. What are obstacles? Budget, 21 weeks g. What time commitment expected? Friday 8-9am meetings, progress reports h. What about regular duties? OT may be required, not in budget
  • 12.
    Gantt Chart forProject Steps Resp. Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Define BA X X X X X X Mesure BA X X Analyze BA X X X Improve BA X X X X X X Control BA X X X X
  • 13.
    MSD Project Benefits 7. Benefits: a. Soft benefits: eliminating complaints from PSD and increasing employee morale b. Hard benefits (financial): minimizing labor costs
  • 14.
    Labor savings –Clipping expenses  100 employees, 40 hrs/wk, spend 10% of time clipping = 400 hrs / wk clipping  $25 / hr * 400 hrs * 50 wks = $500,000 annual clipping expenses  60% clips defective = $300,000? Currently?  0.62% defective = $3,100? Improved system?  Annually, 20,000 hrs clipping = 10 employees  60% = 12,000 wasted clipping hours currently  0.62% = 124 wasted hours under improved system  Need 6 fewer employees  This does not including time lost from clips failing later, on work in process
  • 15.
    Material Cost Savings  300,000 projects per year, 10 clips each =3,000,000 clips needed each year.  0.60 defect means 1/(1-0.6) = 2.5 clips used for each one needed = 7,500,000 used  0.0062 means 1/(1-0.0062) = 1.00625 =3,018,000 clips used  Savings of 4,482,000 clips = $44,820 per year
  • 16.
    Team Members Champion  Process Owner  Team Leader – Black Belt  Team member 1  Team member 2  Finance representative  IT representative
  • 17.
    SIPOC Start Purchasing receives order from Paper Shuffling Department Purchasing agent calls vendor Does vendor have MSD in stock? Place order with vendor Receive order from vendor Store product received into inventory (new boxes go on bottom back of shelf) PSD removes products from inventory PSD uses Product Stop No Yes -Suppliers -Inputs -Process -Outputs -Customers
  • 18.
    Voice of theCustomer  What emotions come to mind when you think about MSDs?  What needs and wants come to mind when you think about MSDs?  What complaints or problems would you like to mention about MSDs?  3 themes:  Variation in durability  Variation in color  Variation in functionality (# broken MSDs in each box)  CTQ-Critical to Quality factors Tech Specs  Ability to withstand bending >= 4 bends w/o breaking  The number of different MSD colors = 1 color of MSDs  The number of broken MSDs in a box. <= 5 broken in box
  • 19.
    Project Objectives 1. Decrease (direction) the percentage that cannot withstand four or more bends without breaking (measure) bought by the purchasing department (process) to 0.62 percent (goal) by Jan. 1, 2005 (deadline). Go for 4 sigma!  2. Decrease (direction) the percentage of boxes of MSDs with more than five broken clips (measure) bought by the purchasing deparment (process) to 0.62 percent (goal) by Jan. 1, 2005 (deadline) Go for 4 sigma!  3. What happened to colors?
  • 20.
    Measure phase-I OperationallyDefine CTQs  Operational definition for CTQ1: Durability  Take top-front box  Close eyes, randomly pull one out  Count number of bends until breaking  Do not count bend being made when it breaks  If >= bends, then MSD conforms, else defective
  • 21.
    Operationally Define CTQ2- Functionality  Take top-front box  Count the number of broken clips  If number of broken is <= 5, box is conforming  If number is > 5, box is defective  Use same boxes for both operational definitions
  • 22.
    Measure Phase-II Gagerepeatability and reproducibility  10 top-front boxes tested by 2 inspectors, each box twice  Gage (or gauge) run chart shows no difference between the measurements from the two different inspectors
  • 23.
    Box Inspector CountFunctionality 1 1 1 10 1 1 2 10 1 2 1 10 1 2 2 10 2 1 1 9 2 1 2 9 2 2 1 9 2 2 2 9 3 1 1 5 3 1 2 5 3 2 1 5 3 2 2 5 4 1 1 4 4 1 2 4 4 2 1 4 4 2 2 4 5 1 1 5 5 1 2 5 5 2 1 5 5 2 2 5 Box Inspector Count Functionality 6 1 1 9 6 1 2 9 6 2 1 9 6 2 2 9 7 1 1 6 7 1 2 6 7 2 1 6 7 2 2 6 8 1 1 6 8 1 2 6 8 2 1 6 8 2 2 6 9 1 1 9 9 1 2 9 9 2 1 9 9 2 2 9 10 1 1 11 10 1 2 11 10 2 1 11 10 2 2 11
  • 24.
    Gage name: Dateof study: Reported by: Tolerance: Misc: Runchart of Fuctionality by Box, Inspector 11 10 9 8 7 6 5 4 Fuctionality Box 1 2 3 4 5 1 2 11 10 9 8 7 6 5 4 Fuctionality Box 6 7 8 9 10
  • 25.
    CTQ Baselines Hourly inspections for both CTQs  Durability is # bends for one MSD before breaking  Functionality is # of broken clips  Yield is percentage of batches passing the standard  6/16 passed each  Very similar to claim of 60% unacceptable Hour Dura-bility Function -ality Shift 1-Hr1 5 12 Shift 1-Hr2 7 4 Shift 1-Hr3 3 8 Shift 1-Hr4 2 6 Shift 1-Hr5 9 1 Shift 1-Hr6 2 5 Shift 1-Hr7 1 11 Shift 1-Hr8 1 9 Shift 2-Hr1 12 6 Shift 2-Hr2 9 6 Shift 2-Hr3 3 9 Shift 2-Hr4 1 5 Shift 2-Hr5 1 4 Shift 2-Hr6 1 5 Shift 2-Hr7 1 9 Shift 2-Hr8 4 10 Yield 0.375 0.375
  • 26.
    15 10 5 0 -5 Individual Value Subgroup 0 5 10 15 UCL=12.21 Mean=3.875 LCL=-4.458 10 5 0 Moving Range 1 UCL=10.24 R=3.133 LCL=0 I and MR Chart for Durability  I-MR charts show durability not stable over time.  Different vendors, but deal with that soon
  • 27.
    7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 Durability number of boxes box  Durability “dot plot” – shows how many boxes had a particular durability level  Graph doesn’t look like Normal distribution  Maybe Poisson distribution
  • 28.
     C-chart notin control, shift 2 tester bent more slowly, caused it to last longer
  • 29.
     C-chart forFunctionality under control
  • 30.
    Dot-plot for Functionality  Dot-plot for Functionality looks Normally distributed
  • 31.
    Detailed Process Map Start Purchasing receives order from Paper Shuffling Department Purchasing agent calls vendor Does vendor have MSD in stock? Place order with vendor Receive order from vendor MSDs placed into inventory (new boxes go on the bottom back of shelf) PSD removes box from inventory PSD uses MSDs Stop No Yes X1 – Vendor (Ibix or Office Optimum) X2 – Size (Small or Large) X3 – Ridges (With or Without) X4 = Cycle time from order to receipt for MSDs X5 = Discrepancy in count from order placed and order received X6 = Cycle time to place product in inventory X7 = Inventory shelf time (in days) X8 = Type of usage (Large stack of paper or Small stack of paper)  X’s also could be defined in measure phase
  • 32.
    Operational Definitions foreach X  X1 – Vendor Ibix Office Optimum  X2 – Size Small Large  X3 – Ridges With Without  X8 – Usage Large stack Small stack  X4 – Cycle time, ordering to receipt (days)  X5 – Discrepancy: # ordered vs. received  X6 – Cycle time to place in inventory (days)  X7 – inventory shelf life (in days) Perform gage study on each, to make sure we can measure consistently (repeatability and reproducibility)
  • 33.
    Baseline Data Every hour for 2 weeks – 80 samples  Collect info about:  X1 vendor  X2 size  X3 ridges  Y1 Durability  Y2 Functionality  Other factors studied separately
  • 34.
    Sample Day HourX1 X2 X3 X7 Durability Function 1 Mon 1 1 0 0 7 2 5 2 Mon 2 0 1 0 7 2 9 3 Mon 3 0 0 1 7 10 7 4 Mon 4 0 1 0 7 1 4 5 Mon 5 0 0 0 7 7 3 6 Mon 6 0 1 1 7 2 5 7 Mon 7 0 1 1 7 1 9 8 Mon 8 0 0 0 7 7 5 9 Tue 1 0 1 0 8 2 8 10 Tue 2 0 1 0 8 1 7 11 Tue 3 0 1 0 8 1 13 12 Tue 4 1 1 1 8 9 5 13 Tue 5 1 1 0 8 9 9 14 Tue 6 1 1 1 8 10 11 15 Tue 7 1 1 1 8 10 11 16 Tue 8 0 0 1 8 8 9 17 Wed 1 1 1 1 9 8 11 18 Wed 2 1 0 0 9 1 11 19 Wed 3 1 1 1 9 10 11 20 Wed 4 0 0 0 9 7 11 21 Wed 5 1 1 1 9 9 9 22 Wed 6 0 0 1 9 9 5 23 Wed 7 1 0 1 9 2 11 24 Wed 8 1 0 0 9 1 10 25 Thu 1 1 0 1 10 1 14 26 Thu 2 0 1 1 10 1 10 27 Thu 3 1 1 1 10 8 13 28 Thu 4 0 0 1 10 10 12 29 Thu 5 0 0 0 10 7 14 30 Thu 6 0 1 1 10 3 13
  • 35.
    Sample Day HourX1 X2 X3 X7 Durability Function 31 Thu 7 0 0 0 10 9 13 32 Thu 8 1 1 1 10 8 11 33 Fri 1 0 1 0 1 2 0 34 Fri 2 0 1 0 1 2 1 35 Fri 3 0 1 0 1 1 6 36 Fri 4 0 1 0 1 3 3 37 Fri 5 0 1 0 1 2 2 38 Fri 6 1 1 0 1 10 6 39 Fri 7 0 0 1 1 10 0 40 Fri 8 0 1 0 1 2 0 41 Mon 1 0 1 1 4 3 4 42 Mon 2 0 1 0 4 3 7 43 Mon 3 0 1 1 4 3 3 44 Mon 4 0 0 0 4 10 2 45 Mon 5 1 1 0 4 8 5 46 Mon 6 0 1 1 4 3 4 47 Mon 7 1 0 0 4 1 4 48 Mon 8 0 0 1 4 10 5 49 Tue 1 1 1 1 5 11 6 50 Tue 2 1 0 1 5 3 4 51 Tue 3 1 1 0 5 10 6 52 Tue 4 1 0 1 5 3 5 53 Tue 5 1 0 0 5 2 4 54 Tue 6 0 0 0 5 9 5 55 Tue 7 0 0 1 5 9 5 56 Tue 8 0 1 0 5 3 7 57 Wed 1 0 0 1 6 9 5 58 Wed 2 1 1 0 6 9 7 59 Wed 3 0 0 0 6 9 5 60 Wed 4 1 0 0 6 2 6
  • 36.
    Sample Day HourX1 X2 X3 X7 Durability Function 61 Wed 5 1 0 1 6 2 5 62 Wed 6 1 1 1 6 10 5 63 Wed 7 0 1 0 6 1 7 64 Wed 8 0 1 0 6 2 5 65 Thu 1 0 0 1 7 10 7 66 Thu 2 1 1 0 7 9 5 67 Thu 3 1 0 0 7 1 7 68 Thu 4 0 1 0 7 2 5 69 Thu 5 1 0 1 7 1 6 70 Thu 6 0 1 0 7 1 5 71 Thu 7 1 0 0 7 1 8 72 Thu 8 1 1 1 7 10 5 73 Fri 1 0 1 1 8 3 7 74 Fri 2 1 1 1 8 9 7 75 Fri 3 1 0 0 8 1 13 76 Fri 4 0 1 1 8 2 8 77 Fri 5 0 1 1 8 3 9 78 Fri 6 1 1 1 8 8 10 79 Fri 7 1 0 1 8 3 11 80 Fri 8 0 0 1 8 10 11 Legend: X1 = Vendor (0 = Office Optimum and 1 = Ibix) X2 = Size (0 = Small and 1 = Large) X3 = Ridges (0 = Without and 1 = With) X7 = Inventory shelf time, in days
  • 37.
    Baseline results Durability 0.4625  Functionality 0.425  X1: Office Optimum 56.25%  X2: Small 42.50%  X3: Without ridges 50%  X7: Shelf life average 6.5 days  X7: Shelf life st. dev 2.5 days
  • 38.
    Vendor (X1) andDurability Maybe Ibix is more durable? Ibix Off Opt.
  • 39.
    Size (X2) andDurability Maybe small is more durable? Large Small
  • 40.
    Ridges (X3) andDurability Ridges No ridges Maybe ridges are more durable?
  • 41.
    Shelf Life (X7)and Durability
  • 42.
    Vendor (X1) andFunctionality Maybe Ibix is more functional? Ibix Off Opt.
  • 43.
    Size (X2) andFunctionality Maybe large is more functional? Large Small
  • 44.
    Ridges (X3) andFunctionality Ridges No ridges Maybe ridges are more functional?
  • 45.
    Shelf Life (X7)and Functionality
  • 46.
    Conclusions  Durability– no large effects from any X’s.  Vendor (X1=1 = Ibix) improves functionality  Size (X2=1= large) improves functionality  Ridges (X3=1) seem to improve functionality  Shelf Life (X7) – lower values have better functionality  Best plan is to buy Ibix large MSDs with ridges
  • 47.
    Office Ibix smallLg No with Shelf Opt. Ridges Ridges Life
  • 48.
    Conculsions – 2  Best to buy  Ibix  Small  With Ridges  Shelf life doesn’t matter?
  • 49.
    X1=Off Opt X1=Ibix Small Large No ridges Ridges
  • 50.
    Conclusion?  Ridgesdon’t seem to affect durability  Buy small Office Optimum, or Large Ibix!
  • 51.
    Functionality Main Effects Age seems to be biggest factor, ridges, Vendor
  • 52.
    Functionality Interaction Plot X2=small X2=large No ridges Ridges
  • 53.
    Improve Phase Conduct experiment to determine ideal parameter values