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Forecasting
Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
3-2
You should be able to:
LO 3.1 List features common to all forecasts
LO 3.2 Explain why forecasts are generally wrong
LO 3.3 List elements of a good forecast
LO 3.4 Outline the steps in the forecasting process
LO 3.5 Summarize forecast errors and use summaries to make decisions
LO 3.6 Describe four qualitative forecasting techniques
LO 3.7 Use a naïve method to make a forecast
LO 3.8 Prepare a moving average forecast
LO 3.9 Prepare a weighted-average forecast
LO 3.10 Prepare an exponential smoothing forecast
LO 3.11 Prepare a linear trend forecast
LO 3.12 Prepare a trend-adjusted exponential smoothing forecast
LO 3.13 Compute and use seasonal relatives
LO 3.14 Compute and use regression and correlation coefficients
LO 3.15 Construct control charts and use them to monitor forecast errors
LO 3.16 Describe the key factors and trade-offs to consider when choosing a
forecasting technique
3-3
 Forecast is a statement about the future
value of a variable of interest.
 Forecasts are:
 a basic input in the decision processes of
operations management because they
provide information on future demand.
 Primary goal : matching supply to demand:
 Having a forecast of demand is essential for
determining how much capacity or supply will
be needed to meet demand.
LO 3.1
3-4
 Two aspects of forecasts:
1. The expected level of demand;
 The expected level of demand can be a function
of some structural variation, such as a trend or
seasonal variation.
2. The degree of accuracy that can be
assigned to a forecast ;
 Forecast accuracy is a function of the
ability of forecasters to correctly model
demand, random variation, and
sometimes unforeseen events.
LO 3.1
3-5
 Time Horizon:
 Short-range forecast: (e.g., an hour, day,
week, or month).
 Short-term forecasts pertain to ongoing
operations
 Long-range forecast: (e.g., the next six
months, the next year, the next five years,).
 Long-range forecasts pertain to new
products or services, new equipment, new
facilities.
LO 3.1
3-6
1. Techniques assume some underlying
causal system that existed in the past
will persist into the future
2. Forecasts are not perfect
3. Forecasts for groups of items are more
accurate than those for individual
items
4. Forecast accuracy decreases as the
forecasting horizon increases
LO 3.1
3-7
The forecast
 should be timely
 should be accurate
 should be reliable
 should be expressed in meaningful units
 should be in writing
 technique should be simple to understand and use
 should be cost-effective:
 the benefit should outweigh the cost
LO 3.3
3-8
1. Determine the purpose of the forecast
 How will it be used and when will it be needed? This step will
provide an indication of the level of detail required in the
forecast, the amount of resources (personnel, computer time,
dollars) that can be justified, and the level of accuracy
necessary.
2. Establish a time horizon:
 Keep in mind that accuracy decreases as the time horizon
increases.
3. Obtain, clean, and analyze appropriate data
4. Select a forecasting technique
5. Make the forecast
6. Monitor the forecast errors
LO 3.4
3-9
1. Determine the purpose of the forecast
 How will it be used and when will it be needed? This step will
provide an indication of the level of detail required in the
forecast, the amount of resources (personnel, computer time,
dollars) that can be justified, and the level of accuracy
necessary.
2. Establish a time horizon:
 Keep in mind that accuracy decreases as the time horizon
increases.
3. Obtain, clean, and analyze appropriate data
4. Select a forecasting technique
5. Make the forecast
6. Monitor the forecast errors
LO 3.4
3-10
1. Determine the purpose of the forecast
 How will it be used and when will it be needed? This step will
provide an indication of the level of detail required in the
forecast, the amount of resources (personnel, computer time,
dollars) that can be justified, and the level of accuracy
necessary.
2. Establish a time horizon:
 Keep in mind that accuracy decreases as the time horizon
increases.
3. Obtain, clean, and analyze appropriate data
4. Select a forecasting technique
5. Make the forecast
6. Monitor the forecast errors
LO 3.4
3-11
 Accuracy and control of forecasts is a vital aspect of
forecasting;
 forecasters should minimize forecast errors.
 Decision makers will want to include accuracy as a factor
when choosing among different techniques, along with
cost.
 Accurate forecasts are necessary for the success of daily
activities of every business organization.
 Forecasts are the basis for an organization’s schedules
LO 3.5
3-12
 Forecast error is the difference between the value that
occurs and the value that was predicted for a given time
period.
 Error = Actual - Forecast:
LO 3.5
3-13
 Positive errors result when the forecast is too
low,
 Negative errors result when the forecast is too
high.
 For example, if actual demand for a week is
100 units and forecast demand was 90 units,
the forecast was too low;
 The error is :
100 – 90 = 10.
LO 3.5
3-14
n
 
 t
t Forecast
Actual
MAD
 2
t
t
1
Forecast
Actual
MSE




n
n
 


100
Actual
Forecast
Actual
MAPE t
t
t
MAD weights all errors
evenly
MSE weights errors according
to their squared values
MAPE weights errors
according to relative error
LO 3.5
3-15
LO 3.5
3-16
 Answer:
LO 3.5
3-17
Two general approaches to
forecasting:
Qualitative Approach
Quantitative Approach
LO 3.6
3-18
 Forecasts that use subjective inputs such as opinions from
consumer surveys, sales staff, managers, executives, and
experts
 Executive opinions
 a small group of upper-level managers may meet and collectively
develop a forecast
 Sales force opinions
 members of the sales or customer service staff can be good sources of
information due to their direct contact with customers and may be
aware of plans customers may be considering for the future
 Consumer surveys
 since consumers ultimately determine demand, it makes sense to
solicit input from them
 consumer surveys typically represent a sample of consumer opinions
LO 3.6
3-19
 Quantitative methods involve either the projection of
historical data or the development of associative
models that attempt to utilize causal (explanatory)
variables to make a forecast.
 Quantitative techniques consist mainly of analyzing
objective, or hard, data. They usually avoid personal
biases that sometimes contaminate qualitative
methods.
 In practice, either approach or a
combination of both approaches might
be used to develop a forecast.
LO 3.6
3-20
 Judgmental forecasts rely on analysis of subjective inputs
obtained from various sources, such as:
 consumer surveys, the sales staff, managers and executives, and
panels of experts.
 Time-series forecasts simply attempt to project past
experience into the future.
 These techniques use historical data with the assumption that
the future will be like the past
 Associative models use equations that consist of one or
more explanatory variables that can be used to predict
demand.
 For example, demand for paint might be related to variables
such as the price per gallon and the amount spent on
advertising, as well as to specific characteristics of the paint (e.g.,
drying time, ease of cleanup).
LO 3.6
3-21
 A time series is a time-ordered sequence of observations
taken at regular intervals (e.g. hourly, daily, weekly,
monthly, quarterly, annually).
 Assumption:
 future values of the series can be estimated from past
values.
 time-series data requires:
 to identify the underlying behavior of the series. This
can often be accomplished by merely plotting the data
and visually examining the plot
LO 3.7
3-22
 Trend: long-term upward or downward movement in the data.
Population shifts, changing incomes, and cultural changes
often account for such movements.
 Seasonality: short-term, fairly regular variations generally
related to factors such as the calendar or time of day.
 Cycles: wavelike variations of more than one year’s duration.
These are often related to a variety of economic, political, and
even agricultural conditions.
 Irregular variations: due to unusual circumstances such as
severe weather conditions, strikes, or a major change in a
product or service.
 Random variations: residual variations that remain after all
other behaviors have been accounted for.
LO 3.7
3-23
 Naïve Forecast
 Uses a single previous value of a time series as the basis
for a forecast
 The forecast for a time period is equal to the previous
time period’s value
 Can be used with
 a stable time series
 seasonal variations
 trend
LO 3.7
3-24
 Moving average.
 Weighted moving average.
 Exponential smoothing.
LO 3.7
3-25
 Technique that averages a number of the most recent
actual values in generating a forecast
average
moving
in the
periods
of
Number
period
in
value
Actual
average
moving
period
MA
period
for time
Forecast
where
...
MA 1
2
1


















n
i
t
A
n
t
F
n
A
A
A
n
A
F
i
t
n
t
t
t
n
t
n
i
i
t
n
t
LO 3.8
3-26
 Example
LO 3.8
3-27
 Solution
LO 3.8
3-28
 The most recent values in a time series are given more
weight in computing a forecast
 The choice of weights, w, is somewhat arbitrary and
involves some trial and error
etc.
,
1
period
for
value
actual
the
,
period
for
value
actual
the
etc.
,
1
period
for
weight
,
period
for
weight
where
)
(
...
)
(
)
(
1
1
1
1
















t
A
t
A
t
w
t
w
A
w
A
w
A
w
F
t
t
t
t
n
t
n
t
t
t
t
t
t
LO 3.9
3-29
 Example
LO 3.9
3-30
 Answer
LO 3.9
3-31
 A weighted averaging method that is based on the
previous forecast plus a percentage of the forecast
error
period
previous
the
from
sales
or
demand
Actual
constant
Smoothing
=
period
previous
for the
Forecast
period
for
Forecast
where
)
(
1
1
1
1
1











t
t
t
t
t
t
t
A
F
t
F
F
A
F
F


LO 3.10
3-32
 Example
 Suppose the previous forecast was
42 units, actual demand was 40
units, and error was.10.
LO 3.10
3-33
 Answer
LO 3.10
3-34
mean
the
from
deviations
standard
of
Number
where
MSE
0
:
LCL
.
4
MSE
0
:
UCL
.
3
MSE
errors
of
on
distributi
the
of
deviation
standard
of
Estimate
2.
MSE.
the
Compute
.
1




z
z
z
s
LO 3.15
3-35
 Factors to consider
 Cost
 Accuracy
 Availability of historical data
 Availability of forecasting software
 Time needed to gather and analyze data and prepare a
forecast
 Forecast horizon
LO 3.16

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SPPTChap003 (1).pptx

  • 1. Forecasting Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
  • 2. 3-2 You should be able to: LO 3.1 List features common to all forecasts LO 3.2 Explain why forecasts are generally wrong LO 3.3 List elements of a good forecast LO 3.4 Outline the steps in the forecasting process LO 3.5 Summarize forecast errors and use summaries to make decisions LO 3.6 Describe four qualitative forecasting techniques LO 3.7 Use a naïve method to make a forecast LO 3.8 Prepare a moving average forecast LO 3.9 Prepare a weighted-average forecast LO 3.10 Prepare an exponential smoothing forecast LO 3.11 Prepare a linear trend forecast LO 3.12 Prepare a trend-adjusted exponential smoothing forecast LO 3.13 Compute and use seasonal relatives LO 3.14 Compute and use regression and correlation coefficients LO 3.15 Construct control charts and use them to monitor forecast errors LO 3.16 Describe the key factors and trade-offs to consider when choosing a forecasting technique
  • 3. 3-3  Forecast is a statement about the future value of a variable of interest.  Forecasts are:  a basic input in the decision processes of operations management because they provide information on future demand.  Primary goal : matching supply to demand:  Having a forecast of demand is essential for determining how much capacity or supply will be needed to meet demand. LO 3.1
  • 4. 3-4  Two aspects of forecasts: 1. The expected level of demand;  The expected level of demand can be a function of some structural variation, such as a trend or seasonal variation. 2. The degree of accuracy that can be assigned to a forecast ;  Forecast accuracy is a function of the ability of forecasters to correctly model demand, random variation, and sometimes unforeseen events. LO 3.1
  • 5. 3-5  Time Horizon:  Short-range forecast: (e.g., an hour, day, week, or month).  Short-term forecasts pertain to ongoing operations  Long-range forecast: (e.g., the next six months, the next year, the next five years,).  Long-range forecasts pertain to new products or services, new equipment, new facilities. LO 3.1
  • 6. 3-6 1. Techniques assume some underlying causal system that existed in the past will persist into the future 2. Forecasts are not perfect 3. Forecasts for groups of items are more accurate than those for individual items 4. Forecast accuracy decreases as the forecasting horizon increases LO 3.1
  • 7. 3-7 The forecast  should be timely  should be accurate  should be reliable  should be expressed in meaningful units  should be in writing  technique should be simple to understand and use  should be cost-effective:  the benefit should outweigh the cost LO 3.3
  • 8. 3-8 1. Determine the purpose of the forecast  How will it be used and when will it be needed? This step will provide an indication of the level of detail required in the forecast, the amount of resources (personnel, computer time, dollars) that can be justified, and the level of accuracy necessary. 2. Establish a time horizon:  Keep in mind that accuracy decreases as the time horizon increases. 3. Obtain, clean, and analyze appropriate data 4. Select a forecasting technique 5. Make the forecast 6. Monitor the forecast errors LO 3.4
  • 9. 3-9 1. Determine the purpose of the forecast  How will it be used and when will it be needed? This step will provide an indication of the level of detail required in the forecast, the amount of resources (personnel, computer time, dollars) that can be justified, and the level of accuracy necessary. 2. Establish a time horizon:  Keep in mind that accuracy decreases as the time horizon increases. 3. Obtain, clean, and analyze appropriate data 4. Select a forecasting technique 5. Make the forecast 6. Monitor the forecast errors LO 3.4
  • 10. 3-10 1. Determine the purpose of the forecast  How will it be used and when will it be needed? This step will provide an indication of the level of detail required in the forecast, the amount of resources (personnel, computer time, dollars) that can be justified, and the level of accuracy necessary. 2. Establish a time horizon:  Keep in mind that accuracy decreases as the time horizon increases. 3. Obtain, clean, and analyze appropriate data 4. Select a forecasting technique 5. Make the forecast 6. Monitor the forecast errors LO 3.4
  • 11. 3-11  Accuracy and control of forecasts is a vital aspect of forecasting;  forecasters should minimize forecast errors.  Decision makers will want to include accuracy as a factor when choosing among different techniques, along with cost.  Accurate forecasts are necessary for the success of daily activities of every business organization.  Forecasts are the basis for an organization’s schedules LO 3.5
  • 12. 3-12  Forecast error is the difference between the value that occurs and the value that was predicted for a given time period.  Error = Actual - Forecast: LO 3.5
  • 13. 3-13  Positive errors result when the forecast is too low,  Negative errors result when the forecast is too high.  For example, if actual demand for a week is 100 units and forecast demand was 90 units, the forecast was too low;  The error is : 100 – 90 = 10. LO 3.5
  • 14. 3-14 n    t t Forecast Actual MAD  2 t t 1 Forecast Actual MSE     n n     100 Actual Forecast Actual MAPE t t t MAD weights all errors evenly MSE weights errors according to their squared values MAPE weights errors according to relative error LO 3.5
  • 17. 3-17 Two general approaches to forecasting: Qualitative Approach Quantitative Approach LO 3.6
  • 18. 3-18  Forecasts that use subjective inputs such as opinions from consumer surveys, sales staff, managers, executives, and experts  Executive opinions  a small group of upper-level managers may meet and collectively develop a forecast  Sales force opinions  members of the sales or customer service staff can be good sources of information due to their direct contact with customers and may be aware of plans customers may be considering for the future  Consumer surveys  since consumers ultimately determine demand, it makes sense to solicit input from them  consumer surveys typically represent a sample of consumer opinions LO 3.6
  • 19. 3-19  Quantitative methods involve either the projection of historical data or the development of associative models that attempt to utilize causal (explanatory) variables to make a forecast.  Quantitative techniques consist mainly of analyzing objective, or hard, data. They usually avoid personal biases that sometimes contaminate qualitative methods.  In practice, either approach or a combination of both approaches might be used to develop a forecast. LO 3.6
  • 20. 3-20  Judgmental forecasts rely on analysis of subjective inputs obtained from various sources, such as:  consumer surveys, the sales staff, managers and executives, and panels of experts.  Time-series forecasts simply attempt to project past experience into the future.  These techniques use historical data with the assumption that the future will be like the past  Associative models use equations that consist of one or more explanatory variables that can be used to predict demand.  For example, demand for paint might be related to variables such as the price per gallon and the amount spent on advertising, as well as to specific characteristics of the paint (e.g., drying time, ease of cleanup). LO 3.6
  • 21. 3-21  A time series is a time-ordered sequence of observations taken at regular intervals (e.g. hourly, daily, weekly, monthly, quarterly, annually).  Assumption:  future values of the series can be estimated from past values.  time-series data requires:  to identify the underlying behavior of the series. This can often be accomplished by merely plotting the data and visually examining the plot LO 3.7
  • 22. 3-22  Trend: long-term upward or downward movement in the data. Population shifts, changing incomes, and cultural changes often account for such movements.  Seasonality: short-term, fairly regular variations generally related to factors such as the calendar or time of day.  Cycles: wavelike variations of more than one year’s duration. These are often related to a variety of economic, political, and even agricultural conditions.  Irregular variations: due to unusual circumstances such as severe weather conditions, strikes, or a major change in a product or service.  Random variations: residual variations that remain after all other behaviors have been accounted for. LO 3.7
  • 23. 3-23  Naïve Forecast  Uses a single previous value of a time series as the basis for a forecast  The forecast for a time period is equal to the previous time period’s value  Can be used with  a stable time series  seasonal variations  trend LO 3.7
  • 24. 3-24  Moving average.  Weighted moving average.  Exponential smoothing. LO 3.7
  • 25. 3-25  Technique that averages a number of the most recent actual values in generating a forecast average moving in the periods of Number period in value Actual average moving period MA period for time Forecast where ... MA 1 2 1                   n i t A n t F n A A A n A F i t n t t t n t n i i t n t LO 3.8
  • 28. 3-28  The most recent values in a time series are given more weight in computing a forecast  The choice of weights, w, is somewhat arbitrary and involves some trial and error etc. , 1 period for value actual the , period for value actual the etc. , 1 period for weight , period for weight where ) ( ... ) ( ) ( 1 1 1 1                 t A t A t w t w A w A w A w F t t t t n t n t t t t t t LO 3.9
  • 31. 3-31  A weighted averaging method that is based on the previous forecast plus a percentage of the forecast error period previous the from sales or demand Actual constant Smoothing = period previous for the Forecast period for Forecast where ) ( 1 1 1 1 1            t t t t t t t A F t F F A F F   LO 3.10
  • 32. 3-32  Example  Suppose the previous forecast was 42 units, actual demand was 40 units, and error was.10. LO 3.10
  • 35. 3-35  Factors to consider  Cost  Accuracy  Availability of historical data  Availability of forecasting software  Time needed to gather and analyze data and prepare a forecast  Forecast horizon LO 3.16