Chapter 3
Forecasting
McGraw-Hill/Irwin
Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter 3: Learning Objectives
You should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
Instructor Slides
List the elements of a good forecast
Outline the steps in the forecasting process
Describe at least three qualitative forecasting techniques and the advantages and
disadvantages of each
Compare and contrast qualitative and quantitative approaches to forecasting
Describe averaging techniques, trend and seasonal techniques, and regression analysis,
and solve typical problems
Explain three measures of forecast accuracy
Compare two ways of evaluating and controlling forecasts
Assess the major factors and trade-offs to consider when choosing a forecasting technique
3-2
Forecast
Forecast – a statement about the future value of a variable of interest
We make forecasts about such things as weather, demand, and resource
availability
Forecasts are an important element in making informed decisions
Instructor Slides
3-3
Forecasts affect decisions and activities throughout an organization
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
Two Important Aspects of Forecasts
Expected level of demand
The level of demand may be a function of some structural variation such as trend
or seasonal variation
Accuracy
Related to the potential size of forecast error
Instructor Slides
3-5
Features Common to All Forecasts
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
Instructor Slides
3-6
Elements of a Good Forecast
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
Instructor Slides
3-7
Steps in the Forecasting Process
1.
Determine the purpose of the forecast
2.
Establish a time horizon
3.
Obtain, clean, and analyze appropriate data
4.
Select a forecasting technique
5.
Make the forecast
6.
Monitor the forecast
Instructor Slides
3-8
Forecasting Approaches
Qualitative Forecasting
Qualitative techniques permit the inclusion of soft information such as:
Human factors
Personal opinions
Hunches
These factors are difficult, or impossible, to quantify
Quantitative Forecasting
Quantitative techniques involve either the projection of historical data or the development of associative
methods that attempt to use causal variables to make a forecast
These techniques rely on hard data
Judgmental Forecasts
Forecasts that use subjective inputs such as opinions from consumer
surveys, sales staff, managers, executives, and experts
Executive opinions
Salesforce opinions
Consumer surveys
Delphi method
Time-Series Forecasts
Forecasts that project patterns identified in recent time-series observations
Time-series - a time-ordered sequence of observations taken at regular time
intervals
Assume that future values of the time-series can be estimated from past values
of the time-series
Instructor Slides
3-11
Time-Series Behaviors
Trend
Seasonality
Cycles
Irregular variations
Random variation
Instructor Slides
3-12
Trends and Seasonality
Trend
A long-term upward or downward movement in data
Population shifts
Changing income
Seasonality
Short-term, fairly regular variations related to the calendar or time of day
Restaurants, service call centers, and theaters all experience seasonal demand
Cycles and Variations
Cycle
Wavelike variations lasting more than one year
These are often related to a variety of economic, political, or even agricultural conditions
Random Variation
Residual variation that remains after all other behaviors have been accounted for
Irregular variation
Due to unusual circumstances that do not reflect typical behavior
Labor strike
Weather event
Time-Series Behaviors
Instructor Slides
3-15
Time-Series Forecasting - Naïve Forecast
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
Instructor Slides
3-16
Naïve Forecasts
Forecast for any period = previous period’s actual value
Ft = At-1
F: forecast
A: Actual
t: time period
Naïve Forecast Example
Week Sales (actual) Sales (forecast) Error
t
A
F
A-F
1
20
2
25
20
5
3
15
25
-10
4
30
15
15
5
27
30
-3
Naïve Forecasts
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
Uses for Naïve Forecasts
Time-Series Forecasting - Averaging
These Techniques work best when a series tends to vary about an average
Averaging techniques smooth variations in the data
They can handle step changes or gradual changes in the level of a series
Techniques
1.
2.
3.
Instructor Slides
Moving average
Weighted moving average
Exponential smoothing
3-21
Moving Average
Technique that averages a number of the most recent actual values in
generating a forecast
n
Ft = MA n =
∑A
t −i
i =1
n
where
Ft = Forecast for time period t
MA n = n period moving average
At −1 = Actual value in period t − 1
n = Number of periods in the moving average
Instructor Slides
3-22
Moving Average
As new data become available, the forecast is updated by adding the newest
value and dropping the oldest and then re-computing the average
The number of data points included in the average determines the model’s
sensitivity
Fewer data points used-- more responsive
More data points used-- less responsive
Instructor Slides
3-23
Moving Average Example
Week
Sales (actual)
Sales (forecast)
Error
t
A
F = MA3
A-F
-
20
1
2
25
-
3
15
-
4
30
20
10
5
27
23.3333
3.66667
6
24
Simple Moving Average
Figure 3-4 Revised
Forecast (MA3)
Forecast (MA5)
Actual
47
45
43
41
39
37
35
1
2
3
4
5
6
7
8
9
10 11 12
Questions:
•
•
•
Why is MA3 longer than MA5?
Which curve fluctuate the most?
Which curve is the smoothest?
3-25