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3-1 Forecasting
UNIT
3
Forecasting
3-2 Forecasting
FORECAST:
A statement about the future value of a variable of interest
such as demand.
Forecasts affect decisions and activities throughout an
organization
 Accounting, finance
 Human resources
 Marketing
 MIS
 Operations
 Product / service design
 Supply chain
3-3 Forecasting
It is a technique that uses
historical data as inputs to
make informed estimates
that are predictive in
determining the direction of
future trends.
3-4 Forecasting
Uses of Forecasts
Accounting Cost/profit estimates
Finance Cash flow and funding
Human Resources Hiring/recruiting/training
Marketing Pricing, promotion, strategy
MIS IT/IS systems, services
Operations Schedules, MRP, workloads
Product/service design New products and services
3-5 Forecasting
 Assumes causal system
past ==> future
 Forecasts rarely perfect because of
randomness
 Forecasts more accurate for
groups vs. individuals
 Forecast accuracy decreases
as time horizon increases
I see that you will
get an A this semester.
3-6 Forecasting
Supply chain forecasts
within the supply chain context there are
three types of forecasting, which are:
Demand forecasting: This is the
investigation of the companies demand for
an item, to include current and projected
demand by industry and product end use.
3-7 Forecasting
Supply forecasting: Is a
collection of data about the
current producers and
suppliers, as well as
technological and political
trends that might affect supply.
3-8 Forecasting
Price forecast: This is based
on information gathered and
analysed about demand and
supply. Provides a prediction of
short- and long-term prices and
the underlying reasons for
those trends.
3-9 Forecasting
Importance of forecasts in supply chain
1. Increasing customer satisfaction
In order to keep your customers satisfied
you need to provide them with the product
they want when they want it. This
advantage of forecasting in business will
help predict product demand so that
enough product is available to fulfil
customer orders with short lead times, on-
time.
3-10 Forecasting
The importance of Demand
Forecasting is much higher
in: Made-to-Stock (MTO),
Assemble-to-Order (ATO)
or JIT Supply Business.
3-11 Forecasting
2. Reducing inventory stockouts
Businesses need realise the importance of
demand forecasting, even if you are
working in JIT System or with long lead
time suppliers like India or China. If you
are buying from long lead time suppliers
then you need to send a demand forecast
so that suppliers can arrange raw materials
in anticipation of actual customer orders.
3-12 Forecasting
In the case of JIT Systems, demand
forecasting helps you to time your
purchases to correspond to when sales
need to be fulfilled.
The less time inventory spends in the
warehouse, the less money you’re
paying to let it just sit there waiting to
be sold.
3-13 Forecasting
3. Scheduling production more effectively
Forecasting is often compared to driving a car while
looking in the rear-view mirror.
The past gives a few clues about the future, but not
enough to stop you from driving off a cliff, but in my
opinion this is the best view you’ve got!
If you look into the 5 Levels of Planning Hierarches
most business should need robust SIOP (sales
inventory operations planning) and Master
Scheduling to schedule production more effectively.
3-14 Forecasting
4. Lowering safety stock requirement
A good demand forecasting process will have a direct impact
in the planning of inventory levels,
Link:
Developing production requests to manufacturing
operations
Planning for new product launches
Planning for promotional activity
Planning for seasonal variations in demand
If a business is using forecasting to plan any of the above
scenarios then you don’t need to carry high safety stocks to
manage those events.
3-15 Forecasting
5. Reducing product obsolescence costs
By identifying, repurposing or removing
obsolete inventory the volume of
inventory on hand will decrease.
With this, both direct and indirect costs of
keeping the obsolete inventory will be
reduced. This closely links to reduced
order sizes as a smaller volume of the
inventory will be in stock and demand
forecast accuracy.
3-16 Forecasting
Having a standardised
reliable way of forecasting
demand will mean that
excess stock is not ordered
and this will reduce the
chance of obsolete stock.
3-17 Forecasting
6. Managing shipping better
Nothing annoys me more than
doing everything you can to
make or buy a product so that
it’s available to ship on-time
yet the warehouse guys won’t
ship, as they don’t have enough
people.
3-18 Forecasting
For that reason the logistics guys are now
part of the SIOP process and they have to
tell how many people they need in the next
several months to ensure we have enough
capacity to ship material on time.
This is one of the classic examples to
demonstrate the importance of demand
forecasting.
3-19 Forecasting
7. Improving pricing and promotion management
In some businesses, multiple promotions running
concurrently may result in the cannibalisation of both
promoted and non-promoted SKUs. (stock keeping
unit)
Integrating distributor-level promotions and related
forecasts will allow you to improve the flow of goods
and achieve better results in terms of availability and
stock fill rates.
Similarly, improving the ability to forecast the impact
price changes will have on both revenue and gross
margin dollars, when timed well!
3-20 Forecasting
Forecasting should not be a knee-
jerk reaction of complaining to the
supplier or shouting at the VP, there
are plenty of more productive
methods including gathering data,
getting it into shape to analyse and
creating a base demand forecast.
3-21 Forecasting
Elements of a Good Forecast
Timely
Accurate
Reliable
Written
3-22 Forecasting
Steps in the Forecasting Process
Step 1 Determine purpose of forecast
Step 2 Establish a time horizon
Step 3 Select a forecasting technique
Step 4 Gather and analyze data
Step 5 Prepare the forecast
Step 6 Monitor the forecast
“The forecast”
3-23 Forecasting
Types of Forecasts
 Judgmental - uses subjective (personal
feelings, tastes or opinions) inputs
 Time series - uses historical data
assuming the future will be like the past
Time series models look at past patterns
of data and attempt to
predict the future based upon the
underlying patterns contained
3-24 Forecasting
Associative models - uses explanatory
variables to predict the future.
Associative models (often called causal
models) assume that the variable being
forecasted is related to other variables in
the environment. They try to project based
upon those associations.
3-25 Forecasting
Judgmental Forecasts
 Executive opinions
 Sales force opinions
 Consumer surveys
 Outside opinion
 Delphi method
 Opinions of managers and staff
 Achieves a consensus forecast
3-26 Forecasting
Time Series Forecasts
 Trend - long-term movement in data. Data exhibit a steady
growth or decline over time.
 Seasonality - short-term regular variations in data
 Cycle – wavelike variations of more than one year’s
duration. Data exhibit upward and downward swings in
over a very long time frame.
 Irregular variations - caused by unusual circumstances
 Random variations - caused by chance. Erratic and
unpredictable variation in the data over time with no
discernable pattern.
3-27 Forecasting
Forecast Variations
Trend
Irregular
variatio
n
Seasonal variations
90
89
88
Figure 3.1
Cycles
3-28 Forecasting
Naïve method
Uses last period’s
actual value as a
forecast
3-29 Forecasting
Naive Forecasts
Uh, give me a minute....
We sold 250 wheels last
week.... Now, next week
we should sell....
The forecast for any period equals
the previous period’s actual value.
3-30 Forecasting
 Simple to use
 Virtually no cost
 Quick and easy to prepare
 Data analysis is nonexistent
 Easily understandable
 Cannot provide high accuracy
 Can be a standard for accuracy
Naïve Forecasts
3-31 Forecasting
Naïve method:
The forecast for next period
(period t+1) will be equal to
this period's actual
demand (At)
3-32 Forecasting
Naïve forecasting
Year Actual Demand (At) Forecast (Ft) Notes
1 310 --- There was no prior demand data
on which to base a forecast for
period 1
2 365 310 From this point forward, these
forecasts were made on a year-
by-year basis.
3 395 365
4 415 293
5 450 415
6 465 450
7 465
3-33 Forecasting
Techniques for Averaging
Mean (Simple Average)
Method
Moving average
Weighted moving average
Exponential smoothing
3-34 Forecasting
MEAN
(SIMPLE AVERAGE) METHOD
Mean (simple average)
method: The forecast for next
period (period t+1) will be
equal to the average of all
past historical demands
3-35 Forecasting
Year Actual Demand (At) Forecast (Ft) Notes
1 310 300 This forecast was a
guess at the
beginning.
2 365 310.000 From this point forward, these
forecasts were made on a year
-by-year basis using a simple
average approach
3 395 337.500
4 415 356.667
5 450 371.250
6 465 387.000
7 400.000
3-36 Forecasting
F3 = A1 +A2
2
F4 = A1+A2+A3
3
F5 =
3-37 Forecasting
Moving Averages
 Moving average – A technique that averages a number of
recent actual values, updated as new values become
available.
MAn =
n
Ai
i = 1

n
3-38 Forecasting
Simple moving average method: The forecast
for next period (period t+1) will be equal to the
average of a specified number of the most
recent observations, with each observation
receiving the same emphasis (weight).
In this illustration we assume that a 2-year
simple moving average is being used.
We will also assume that, in the absence of data
at startup, we made a guess for the year 1
forecast (300).
3-39 Forecasting
Then, after year 1 elapsed, we
made a forecast for year 2 using a
naïve method (310). Beyond that
point we had sufficient data to let
our 2-year simple moving average
forecasts unfold throughout the
years.
3-40 Forecasting
Year Actual Demand (At) Forecast (Ft) Notes
1 310 300 This forecast was a guess at
the beginning.
2 365 310 This forecast was made using
a naïve approach.
3 395 337.500 From this point forward,
these forecasts were made on
a year-by-year basis using a
2-yr moving average
approach.
4 415 380.000
5 450 405.000
6 465 432.500
7 457.500
3-41 Forecasting
ANOTHER SIMPLE MOVING AVERAGE
ILLUSTRATION
In this illustration we assume that a 3-year
simple moving average is being used. We will
also assume that, in the absence of data at
startup, we made a guess for the year 1 forecast
(300).
Then, after year 1 elapsed, we used a naïve
method to make a forecast for year 2 (310) and
year 3 (365). Beyond that point we had
sufficient data to let our 3-year simple moving
average forecasts unfold throughout the years.
3-42 Forecasting
Year Actual Demand (At) Forecast (Ft) Notes
1 310 300 This forecast was a guess at the
beginning.
2 365 310 This forecast was made using a
naïve approach.
3 395 365 This forecast was made using a
naïve approach.
4 415 356.667 From this point forward, these
forecasts were made on a year-by-
year basis using a 3-yr moving
average approach
5 450 391.667
6 465 433.333
3-43 Forecasting
WEIGHTED MOVING AVERAGE METHOD
Weighted moving average
– More recent values in a
series are given more
weight in computing the
forecast.
3-44 Forecasting
Weighted moving average method: The forecast
for next period (period t+1) will be equal to a
weighted average of a specified number of the
most recent observations.
In this illustration we assume that a 3-year
weighted moving average is being used. We
will also assume that, in the absence of data at
startup, we made a guess for the year 1 forecast
(300).
3-45 Forecasting
Then, after year 1 elapsed, we used a
naïve method to make a forecast for year
2 (310) and year 3 (365). Beyond that
point we had sufficient data to let our
3-year weighted moving average forecasts
unfold throughout the years. The weights
that were to be used are as follows: Most
recent year, .5; year prior to that, .3; year
prior to that, .2
3-46 Forecasting
EXAMPLE 1
Year Actual
Demand (At)
Forecast (Ft) Notes
1 310 300 This forecast was a guess at the
beginning.
2 365 310 This forecast was made using a
naïve approach.
3 395 365 This forecast was made using a
naïve approach.
4 415 369 From this point forward, these
forecasts were made on a year-by-
year basis using a 3-yr wtd.
moving avg. approach.
5 450 399.000
6 465 428.500
7 450.500
3-47 Forecasting
3-48 Forecasting
EXAMPLE 2
The manager of a restaurant wants to make decision
on inventory and overall cost. He wants to forecast
demand for some of the items based on weighted
moving average method. For the past three months
he experienced a demand for pizzas as follows:
Month Demand
October 400
November 480
December 550
Find the demand for the month of January by assuming
suitable weights to demand data
3-49 Forecasting
3-50 Forecasting
EXAMPLE 3
3-51 Forecasting
Exponential Smoothing
Exponential smoothing method: The new forecast
for next period (period t) will be calculated as
follows:
New forecast = Last period’s forecast + α(Last
period’s actual demand – Last period’s forecast)
3-52 Forecasting
Ft = Ft-1 + α(At-1 – Ft-1)
Sinplified
Ft = αAt-1 + (1-α)Ft-1
Where α is a smoothing
coefficient whose value is
between 0 and 1.
3-53 Forecasting
 To make a forecast for next period, we would use the user
friendly alternate equation 1:
 Ft = αAt-1 + (1-α)Ft-1 (equation 1)
 When we made the forecast for the current period (Ft-1), it
was made in the following fashion:
 Ft-1 = αAt-2 + (1-α)Ft-2 (equation 2)
 If we substitute equation 2 into equation 1 we get the
following:
 Ft = αAt-1 + (1-α)[αAt-2 + (1-α)Ft-2]
 Which can be cleaned up to the following:
 Ft = αAt-1 + α(1-α)At-2 + (1-α)2Ft-2 (equation 3)
3-54 Forecasting
 We could continue to play that game by recognizing
that Ft-2 = αAt-3 + (1-α)Ft-3 (equation 4)
 If we substitute equation 4 into equation 3 we get the
following:
 Ft = αAt-1 + α(1-α)At-2 + (1-α)2[αAt-3 + (1-α)Ft-3]
3-55 Forecasting
 Which can be cleaned up to the following:
 Ft = αAt-1 + α(1-α)At-2 + α(1-α)2At-3 + (1-α)3Ft-3
 If you keep playing that game, you should recognize
that
 Ft = αAt-1 + α(1-α)At-2 + α(1-α)2At-3 + α(1-α)3At-4 + α
(1-α)4At-5 + α (1-α)5At-6 ……….
3-56 Forecasting
EXAMPLE 1
In this illustration we assume that, in the absence of
data at startup, we made a guess for the year 1
forecast (300).
Then, for each subsequent year (beginning with year
2) we made a forecast using the exponential
smoothing model.
After the forecast was made, we waited to see what
demand unfolded during the year.
We then made a forecast for the subsequent year, and
so on right through to the forecast for year 7.
3-57 Forecasting
This set of forecasts was made using an
value of 0.1
Year Actual Demand
(A)
Forecast ( F ) Notes
1 310 300 This was a guess, since there was no prior
demand data.
2 365 301 From this point forward, these forecasts were
made on a year-by-year basis using exponential
smoothing with α=.1
3 395 307.4
4 415 316.16
5 450 326.044
6 465 338.4396
7 351.4396
3-58 Forecasting
procedure
Ft = Ft-1 + α(At-1 – Ft-1)
Note α =0.1
F2 = F2-1 + α(A2-1 –F2-1)
F2 = F1 + α(A1- F1)
F2 = 300 + α( 310 – 300)
= 300 + 0.1(10)
= 300 + 1
= 301
3-59 Forecasting
EXAMPLE 2
This set of forecasts was made using an α value of 0.2
Year Actual
Demand
( A)
Forecast
( F)
NOTES
1 310 300 This was a guess, since there was no prior demand data.
2 365 302 From this point forward, these forecasts were made on a
year-by-year basis using exponential smoothing with
α= 0.2
3 395 314.6
4 415 330.68
5 450 347.544
6 465 368.0352
7 387.42816
3-60 Forecasting
Ft = Ft-1 + α(At-1 – Ft-1)
Note α =0.2
F2 = F2-1 + α(A2-1 –F2-1)
F2 = F1 + α(A1- F1)
= 300 + 0.2(310 – 300)
= 300 + 0.2(10)
= 300 + 2
= 302
3-61 Forecasting
EXAMPLE 3
This set of forecasts was made using an α value of 0.4
Year Actual Demand
(At)
Forecast
(Ft)
Notes
1 310 300 This was a guess, since there was no prior demand
data.
2 365 304 From this point forward, these forecasts were made
on a year-by-year basis using exponential smoothing
with α =0.4
3 395 328.4
4 415 355.04
5 450 379.024
6 465 407.4144
7 430.44864
3-62 Forecasting
procedure
Ft = Ft-1 + α(At-1 – Ft-1)
Note α =0.4
F2 = F2-1 + α(A2-1 –F2-1)
F2 = F1 + α(A1- F1)
= 300 + 0.4(310 – 300)
= 300 + 0.4 (10)
= 300 + 4
= 304
3-63 Forecasting
Linear Trend Equation
 Ft = Forecast for period t (demand)
 t = Specified number of time periods
 a = Value of Ft at t = 0
 b = Slope of the line
Ft = a + bt
0 1 2 3 4 5 t
Ft
3-64 Forecasting
Calculating a and b
b =
n (ty) - t y
n t2 - ( t)2
a =
y - b t
n







3-65 Forecasting
Linear Trend Equation Example
t y
Week t2
Sales ty
1 1 150 150
2 4 157 314
3 9 162 486
4 16 166 664
5 25 177 885
 t = 15 t2
= 55  y = 812  ty = 2499
(t)2
= 225
3-66 Forecasting
Linear Trend Calculation
y = 143.5 + 6.3t
a =
812 - 6.3(15)
5
=
b =
5 (2499) - 15(812)
5(55) - 225
=
12495-12180
275-225
= 6.3
143.5
3-67 Forecasting
Forecast Accuracy
 Error - difference between actual value and predicted
value
 Mean Absolute Deviation (MAD)
 Average absolute error
 Mean Squared Error (MSE)
 Average of squared error
 Mean Absolute Percent Error (MAPE)
 Average absolute percent error
3-68 Forecasting
Mean absolute deviation (MAD) review
The mean absolute deviation
of a dataset is the average
distance between each data
point and the mean. It gives
us an idea about the
variability in a dataset.
3-69 Forecasting
how to calculate the mean absolute
deviation
Step 1: Calculate the mean.
Step 2: Calculate how far away each data
point is from the mean using positive
distances. These are called absolute
deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of
data points.
3-70 Forecasting
MAD, MSE, and MAPE
MAD =
Actual forecast


n
MSE =
Actual forecast)
-1
2


n
(
MAPE =
Actual forecas
t

n
/ Actual*100)
(
3-71 Forecasting
Controlling the Forecast
 Control chart
 A visual tool for monitoring forecast errors
 Used to detect non-randomness in errors
 Forecasting errors are in control if
 All errors are within the control limits
 No patterns, such as trends or cycles, are
present
3-72 Forecasting
Sources of Forecast errors
 Model may be inadequate
 Irregular variations
 Incorrect use of forecasting technique
3-73 Forecasting
Tracking Signal
Tracking signal =
(Actual-forecast)
MAD

•Tracking signal
–Ratio of cumulative error to MAD
Bias – Persistent tendency for forecasts to be
Greater or less than actual values.
3-74 Forecasting
Choosing a Forecasting Technique
 No single technique works in every situation
 Two most important factors
 Cost
 Accuracy
 Other factors include the availability of:
 Historical data
 Computers
 Time needed to gather and analyze the data
 Forecast horizon

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unit 3.ppt

  • 2. 3-2 Forecasting FORECAST: A statement about the future value of a variable of interest such as demand. Forecasts affect decisions and activities throughout an organization  Accounting, finance  Human resources  Marketing  MIS  Operations  Product / service design  Supply chain
  • 3. 3-3 Forecasting It is a technique that uses historical data as inputs to make informed estimates that are predictive in determining the direction of future trends.
  • 4. 3-4 Forecasting Uses of Forecasts Accounting Cost/profit estimates Finance Cash flow and funding Human Resources Hiring/recruiting/training Marketing Pricing, promotion, strategy MIS IT/IS systems, services Operations Schedules, MRP, workloads Product/service design New products and services
  • 5. 3-5 Forecasting  Assumes causal system past ==> future  Forecasts rarely perfect because of randomness  Forecasts more accurate for groups vs. individuals  Forecast accuracy decreases as time horizon increases I see that you will get an A this semester.
  • 6. 3-6 Forecasting Supply chain forecasts within the supply chain context there are three types of forecasting, which are: Demand forecasting: This is the investigation of the companies demand for an item, to include current and projected demand by industry and product end use.
  • 7. 3-7 Forecasting Supply forecasting: Is a collection of data about the current producers and suppliers, as well as technological and political trends that might affect supply.
  • 8. 3-8 Forecasting Price forecast: This is based on information gathered and analysed about demand and supply. Provides a prediction of short- and long-term prices and the underlying reasons for those trends.
  • 9. 3-9 Forecasting Importance of forecasts in supply chain 1. Increasing customer satisfaction In order to keep your customers satisfied you need to provide them with the product they want when they want it. This advantage of forecasting in business will help predict product demand so that enough product is available to fulfil customer orders with short lead times, on- time.
  • 10. 3-10 Forecasting The importance of Demand Forecasting is much higher in: Made-to-Stock (MTO), Assemble-to-Order (ATO) or JIT Supply Business.
  • 11. 3-11 Forecasting 2. Reducing inventory stockouts Businesses need realise the importance of demand forecasting, even if you are working in JIT System or with long lead time suppliers like India or China. If you are buying from long lead time suppliers then you need to send a demand forecast so that suppliers can arrange raw materials in anticipation of actual customer orders.
  • 12. 3-12 Forecasting In the case of JIT Systems, demand forecasting helps you to time your purchases to correspond to when sales need to be fulfilled. The less time inventory spends in the warehouse, the less money you’re paying to let it just sit there waiting to be sold.
  • 13. 3-13 Forecasting 3. Scheduling production more effectively Forecasting is often compared to driving a car while looking in the rear-view mirror. The past gives a few clues about the future, but not enough to stop you from driving off a cliff, but in my opinion this is the best view you’ve got! If you look into the 5 Levels of Planning Hierarches most business should need robust SIOP (sales inventory operations planning) and Master Scheduling to schedule production more effectively.
  • 14. 3-14 Forecasting 4. Lowering safety stock requirement A good demand forecasting process will have a direct impact in the planning of inventory levels, Link: Developing production requests to manufacturing operations Planning for new product launches Planning for promotional activity Planning for seasonal variations in demand If a business is using forecasting to plan any of the above scenarios then you don’t need to carry high safety stocks to manage those events.
  • 15. 3-15 Forecasting 5. Reducing product obsolescence costs By identifying, repurposing or removing obsolete inventory the volume of inventory on hand will decrease. With this, both direct and indirect costs of keeping the obsolete inventory will be reduced. This closely links to reduced order sizes as a smaller volume of the inventory will be in stock and demand forecast accuracy.
  • 16. 3-16 Forecasting Having a standardised reliable way of forecasting demand will mean that excess stock is not ordered and this will reduce the chance of obsolete stock.
  • 17. 3-17 Forecasting 6. Managing shipping better Nothing annoys me more than doing everything you can to make or buy a product so that it’s available to ship on-time yet the warehouse guys won’t ship, as they don’t have enough people.
  • 18. 3-18 Forecasting For that reason the logistics guys are now part of the SIOP process and they have to tell how many people they need in the next several months to ensure we have enough capacity to ship material on time. This is one of the classic examples to demonstrate the importance of demand forecasting.
  • 19. 3-19 Forecasting 7. Improving pricing and promotion management In some businesses, multiple promotions running concurrently may result in the cannibalisation of both promoted and non-promoted SKUs. (stock keeping unit) Integrating distributor-level promotions and related forecasts will allow you to improve the flow of goods and achieve better results in terms of availability and stock fill rates. Similarly, improving the ability to forecast the impact price changes will have on both revenue and gross margin dollars, when timed well!
  • 20. 3-20 Forecasting Forecasting should not be a knee- jerk reaction of complaining to the supplier or shouting at the VP, there are plenty of more productive methods including gathering data, getting it into shape to analyse and creating a base demand forecast.
  • 21. 3-21 Forecasting Elements of a Good Forecast Timely Accurate Reliable Written
  • 22. 3-22 Forecasting Steps in the Forecasting Process Step 1 Determine purpose of forecast Step 2 Establish a time horizon Step 3 Select a forecasting technique Step 4 Gather and analyze data Step 5 Prepare the forecast Step 6 Monitor the forecast “The forecast”
  • 23. 3-23 Forecasting Types of Forecasts  Judgmental - uses subjective (personal feelings, tastes or opinions) inputs  Time series - uses historical data assuming the future will be like the past Time series models look at past patterns of data and attempt to predict the future based upon the underlying patterns contained
  • 24. 3-24 Forecasting Associative models - uses explanatory variables to predict the future. Associative models (often called causal models) assume that the variable being forecasted is related to other variables in the environment. They try to project based upon those associations.
  • 25. 3-25 Forecasting Judgmental Forecasts  Executive opinions  Sales force opinions  Consumer surveys  Outside opinion  Delphi method  Opinions of managers and staff  Achieves a consensus forecast
  • 26. 3-26 Forecasting Time Series Forecasts  Trend - long-term movement in data. Data exhibit a steady growth or decline over time.  Seasonality - short-term regular variations in data  Cycle – wavelike variations of more than one year’s duration. Data exhibit upward and downward swings in over a very long time frame.  Irregular variations - caused by unusual circumstances  Random variations - caused by chance. Erratic and unpredictable variation in the data over time with no discernable pattern.
  • 28. 3-28 Forecasting Naïve method Uses last period’s actual value as a forecast
  • 29. 3-29 Forecasting Naive Forecasts Uh, give me a minute.... We sold 250 wheels last week.... Now, next week we should sell.... The forecast for any period equals the previous period’s actual value.
  • 30. 3-30 Forecasting  Simple to use  Virtually no cost  Quick and easy to prepare  Data analysis is nonexistent  Easily understandable  Cannot provide high accuracy  Can be a standard for accuracy Naïve Forecasts
  • 31. 3-31 Forecasting Naïve method: The forecast for next period (period t+1) will be equal to this period's actual demand (At)
  • 32. 3-32 Forecasting Naïve forecasting Year Actual Demand (At) Forecast (Ft) Notes 1 310 --- There was no prior demand data on which to base a forecast for period 1 2 365 310 From this point forward, these forecasts were made on a year- by-year basis. 3 395 365 4 415 293 5 450 415 6 465 450 7 465
  • 33. 3-33 Forecasting Techniques for Averaging Mean (Simple Average) Method Moving average Weighted moving average Exponential smoothing
  • 34. 3-34 Forecasting MEAN (SIMPLE AVERAGE) METHOD Mean (simple average) method: The forecast for next period (period t+1) will be equal to the average of all past historical demands
  • 35. 3-35 Forecasting Year Actual Demand (At) Forecast (Ft) Notes 1 310 300 This forecast was a guess at the beginning. 2 365 310.000 From this point forward, these forecasts were made on a year -by-year basis using a simple average approach 3 395 337.500 4 415 356.667 5 450 371.250 6 465 387.000 7 400.000
  • 36. 3-36 Forecasting F3 = A1 +A2 2 F4 = A1+A2+A3 3 F5 =
  • 37. 3-37 Forecasting Moving Averages  Moving average – A technique that averages a number of recent actual values, updated as new values become available. MAn = n Ai i = 1  n
  • 38. 3-38 Forecasting Simple moving average method: The forecast for next period (period t+1) will be equal to the average of a specified number of the most recent observations, with each observation receiving the same emphasis (weight). In this illustration we assume that a 2-year simple moving average is being used. We will also assume that, in the absence of data at startup, we made a guess for the year 1 forecast (300).
  • 39. 3-39 Forecasting Then, after year 1 elapsed, we made a forecast for year 2 using a naïve method (310). Beyond that point we had sufficient data to let our 2-year simple moving average forecasts unfold throughout the years.
  • 40. 3-40 Forecasting Year Actual Demand (At) Forecast (Ft) Notes 1 310 300 This forecast was a guess at the beginning. 2 365 310 This forecast was made using a naïve approach. 3 395 337.500 From this point forward, these forecasts were made on a year-by-year basis using a 2-yr moving average approach. 4 415 380.000 5 450 405.000 6 465 432.500 7 457.500
  • 41. 3-41 Forecasting ANOTHER SIMPLE MOVING AVERAGE ILLUSTRATION In this illustration we assume that a 3-year simple moving average is being used. We will also assume that, in the absence of data at startup, we made a guess for the year 1 forecast (300). Then, after year 1 elapsed, we used a naïve method to make a forecast for year 2 (310) and year 3 (365). Beyond that point we had sufficient data to let our 3-year simple moving average forecasts unfold throughout the years.
  • 42. 3-42 Forecasting Year Actual Demand (At) Forecast (Ft) Notes 1 310 300 This forecast was a guess at the beginning. 2 365 310 This forecast was made using a naïve approach. 3 395 365 This forecast was made using a naïve approach. 4 415 356.667 From this point forward, these forecasts were made on a year-by- year basis using a 3-yr moving average approach 5 450 391.667 6 465 433.333
  • 43. 3-43 Forecasting WEIGHTED MOVING AVERAGE METHOD Weighted moving average – More recent values in a series are given more weight in computing the forecast.
  • 44. 3-44 Forecasting Weighted moving average method: The forecast for next period (period t+1) will be equal to a weighted average of a specified number of the most recent observations. In this illustration we assume that a 3-year weighted moving average is being used. We will also assume that, in the absence of data at startup, we made a guess for the year 1 forecast (300).
  • 45. 3-45 Forecasting Then, after year 1 elapsed, we used a naïve method to make a forecast for year 2 (310) and year 3 (365). Beyond that point we had sufficient data to let our 3-year weighted moving average forecasts unfold throughout the years. The weights that were to be used are as follows: Most recent year, .5; year prior to that, .3; year prior to that, .2
  • 46. 3-46 Forecasting EXAMPLE 1 Year Actual Demand (At) Forecast (Ft) Notes 1 310 300 This forecast was a guess at the beginning. 2 365 310 This forecast was made using a naïve approach. 3 395 365 This forecast was made using a naïve approach. 4 415 369 From this point forward, these forecasts were made on a year-by- year basis using a 3-yr wtd. moving avg. approach. 5 450 399.000 6 465 428.500 7 450.500
  • 48. 3-48 Forecasting EXAMPLE 2 The manager of a restaurant wants to make decision on inventory and overall cost. He wants to forecast demand for some of the items based on weighted moving average method. For the past three months he experienced a demand for pizzas as follows: Month Demand October 400 November 480 December 550 Find the demand for the month of January by assuming suitable weights to demand data
  • 51. 3-51 Forecasting Exponential Smoothing Exponential smoothing method: The new forecast for next period (period t) will be calculated as follows: New forecast = Last period’s forecast + α(Last period’s actual demand – Last period’s forecast)
  • 52. 3-52 Forecasting Ft = Ft-1 + α(At-1 – Ft-1) Sinplified Ft = αAt-1 + (1-α)Ft-1 Where α is a smoothing coefficient whose value is between 0 and 1.
  • 53. 3-53 Forecasting  To make a forecast for next period, we would use the user friendly alternate equation 1:  Ft = αAt-1 + (1-α)Ft-1 (equation 1)  When we made the forecast for the current period (Ft-1), it was made in the following fashion:  Ft-1 = αAt-2 + (1-α)Ft-2 (equation 2)  If we substitute equation 2 into equation 1 we get the following:  Ft = αAt-1 + (1-α)[αAt-2 + (1-α)Ft-2]  Which can be cleaned up to the following:  Ft = αAt-1 + α(1-α)At-2 + (1-α)2Ft-2 (equation 3)
  • 54. 3-54 Forecasting  We could continue to play that game by recognizing that Ft-2 = αAt-3 + (1-α)Ft-3 (equation 4)  If we substitute equation 4 into equation 3 we get the following:  Ft = αAt-1 + α(1-α)At-2 + (1-α)2[αAt-3 + (1-α)Ft-3]
  • 55. 3-55 Forecasting  Which can be cleaned up to the following:  Ft = αAt-1 + α(1-α)At-2 + α(1-α)2At-3 + (1-α)3Ft-3  If you keep playing that game, you should recognize that  Ft = αAt-1 + α(1-α)At-2 + α(1-α)2At-3 + α(1-α)3At-4 + α (1-α)4At-5 + α (1-α)5At-6 ……….
  • 56. 3-56 Forecasting EXAMPLE 1 In this illustration we assume that, in the absence of data at startup, we made a guess for the year 1 forecast (300). Then, for each subsequent year (beginning with year 2) we made a forecast using the exponential smoothing model. After the forecast was made, we waited to see what demand unfolded during the year. We then made a forecast for the subsequent year, and so on right through to the forecast for year 7.
  • 57. 3-57 Forecasting This set of forecasts was made using an value of 0.1 Year Actual Demand (A) Forecast ( F ) Notes 1 310 300 This was a guess, since there was no prior demand data. 2 365 301 From this point forward, these forecasts were made on a year-by-year basis using exponential smoothing with α=.1 3 395 307.4 4 415 316.16 5 450 326.044 6 465 338.4396 7 351.4396
  • 58. 3-58 Forecasting procedure Ft = Ft-1 + α(At-1 – Ft-1) Note α =0.1 F2 = F2-1 + α(A2-1 –F2-1) F2 = F1 + α(A1- F1) F2 = 300 + α( 310 – 300) = 300 + 0.1(10) = 300 + 1 = 301
  • 59. 3-59 Forecasting EXAMPLE 2 This set of forecasts was made using an α value of 0.2 Year Actual Demand ( A) Forecast ( F) NOTES 1 310 300 This was a guess, since there was no prior demand data. 2 365 302 From this point forward, these forecasts were made on a year-by-year basis using exponential smoothing with α= 0.2 3 395 314.6 4 415 330.68 5 450 347.544 6 465 368.0352 7 387.42816
  • 60. 3-60 Forecasting Ft = Ft-1 + α(At-1 – Ft-1) Note α =0.2 F2 = F2-1 + α(A2-1 –F2-1) F2 = F1 + α(A1- F1) = 300 + 0.2(310 – 300) = 300 + 0.2(10) = 300 + 2 = 302
  • 61. 3-61 Forecasting EXAMPLE 3 This set of forecasts was made using an α value of 0.4 Year Actual Demand (At) Forecast (Ft) Notes 1 310 300 This was a guess, since there was no prior demand data. 2 365 304 From this point forward, these forecasts were made on a year-by-year basis using exponential smoothing with α =0.4 3 395 328.4 4 415 355.04 5 450 379.024 6 465 407.4144 7 430.44864
  • 62. 3-62 Forecasting procedure Ft = Ft-1 + α(At-1 – Ft-1) Note α =0.4 F2 = F2-1 + α(A2-1 –F2-1) F2 = F1 + α(A1- F1) = 300 + 0.4(310 – 300) = 300 + 0.4 (10) = 300 + 4 = 304
  • 63. 3-63 Forecasting Linear Trend Equation  Ft = Forecast for period t (demand)  t = Specified number of time periods  a = Value of Ft at t = 0  b = Slope of the line Ft = a + bt 0 1 2 3 4 5 t Ft
  • 64. 3-64 Forecasting Calculating a and b b = n (ty) - t y n t2 - ( t)2 a = y - b t n       
  • 65. 3-65 Forecasting Linear Trend Equation Example t y Week t2 Sales ty 1 1 150 150 2 4 157 314 3 9 162 486 4 16 166 664 5 25 177 885  t = 15 t2 = 55  y = 812  ty = 2499 (t)2 = 225
  • 66. 3-66 Forecasting Linear Trend Calculation y = 143.5 + 6.3t a = 812 - 6.3(15) 5 = b = 5 (2499) - 15(812) 5(55) - 225 = 12495-12180 275-225 = 6.3 143.5
  • 67. 3-67 Forecasting Forecast Accuracy  Error - difference between actual value and predicted value  Mean Absolute Deviation (MAD)  Average absolute error  Mean Squared Error (MSE)  Average of squared error  Mean Absolute Percent Error (MAPE)  Average absolute percent error
  • 68. 3-68 Forecasting Mean absolute deviation (MAD) review The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
  • 69. 3-69 Forecasting how to calculate the mean absolute deviation Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
  • 70. 3-70 Forecasting MAD, MSE, and MAPE MAD = Actual forecast   n MSE = Actual forecast) -1 2   n ( MAPE = Actual forecas t  n / Actual*100) (
  • 71. 3-71 Forecasting Controlling the Forecast  Control chart  A visual tool for monitoring forecast errors  Used to detect non-randomness in errors  Forecasting errors are in control if  All errors are within the control limits  No patterns, such as trends or cycles, are present
  • 72. 3-72 Forecasting Sources of Forecast errors  Model may be inadequate  Irregular variations  Incorrect use of forecasting technique
  • 73. 3-73 Forecasting Tracking Signal Tracking signal = (Actual-forecast) MAD  •Tracking signal –Ratio of cumulative error to MAD Bias – Persistent tendency for forecasts to be Greater or less than actual values.
  • 74. 3-74 Forecasting Choosing a Forecasting Technique  No single technique works in every situation  Two most important factors  Cost  Accuracy  Other factors include the availability of:  Historical data  Computers  Time needed to gather and analyze the data  Forecast horizon