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Chapter 8 Supplement Forecasting
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Forecasting Purposes and Methods
Must forecast future to plan An accurate estimate of demand is crucial to the efficient operation of a system Not only demand can be forecasted New technology Economic conditions Changes in lead time, scrap rates, and so on
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Primary Uses of Forecasting
To determine if sufficient demand exists To determine long-term capacity needs To determine midterm fluctuations in demand to avoid short-sighted decisions To determine short-term fluctuations in demand for production planning, workforce scheduling, and materials planning
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Forecasting Methods Figure 8S.1
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Qualitative Methods Life cycle Surveys Delphi Historical analogy
Expert opinion Consumer panels Test marketing
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Quantitative Methods Causal Time series analysis Input-output
Econometric Box-Jenkins Time series analysis Simple regression Exponential smoothing Moving average
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Choosing a Forecasting Method
Availability of representative data Time and money limitations Accuracy needed
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Time Series Analysis Time series is a set of values measured either at regular points in time or over sequential intervals of time Can be collected over short or long periods of time
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Components of Time Series
Trend T Seasonal variation S Cyclical variation C Random variation R
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Common Trend Patterns Figure 8S.2a
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Common Trend Patterns Figure 8S.2b
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Common Trend Patterns Figure 8S.2c
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Moving Averages
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Four-Period Moving Average of Intel’s Monthly Stock Closing Price
Figure 8S.3
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Exponential Smoothing
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Using Exponential Smoothing To Forecast Intel’s Closing Stock Price
Figure 8S.4
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Simple Regression: The Linear Trend Multiplicative Model
Y = α + βX + ε Where: X = Independent variable Y = Dependent variable α and β are the parameter of the model
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Fitting Regression Line to Data
Figure 8S.5
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Example Relationships Between Variables
Figure 8S.8
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Least Squares Approach to Fitting Line to a Set of Data
Figure 8S.9
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Regression Analysis Assumptions
The residuals are normally distributed The expected value of the residuals is zero The residuals are independent of one another The variance of the residuals is constant
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The Multiple Regression Model
Simple regression uses one independent variable Using more than one independent variable is called multiple regression Form of the model is:
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Developing Regression Models
Identify candidate independent variables to include in the model Transform the data Select the variables to include in the model Analyze the residuals
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