Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 2, Problem 55AP
Summary Introduction

To explain: An appropriate method that determines the right value of the smoothing constant α in exponential smoothing.

Introduction: Exponential smoothing is a forecasting method used by the exponential window function to smooth time series data.While the previous results are weighted similarly in moving averages, exponential smoothing assigns declining weights exponentially as the sample grows older.

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A suggested method for determining the “right” value of the smoothing constant a inexponential smoothing is to retrospectively determine the a value that results in theminimum forecast error for some set of historical data. Comment on the appropriateness of this method and some of the potential problems that could result.
Consider the time series data in Table 4 Construct a time series plot. What type of pattern exists in the data? Develop a three-week moving average for this time series. Compute MSE and a forecast for week 8. Use α = 0.2 to compute the exponential smoothing value for the time series. Compute MSE and a forecast for week 8.
If the random variability in a time series is great, a small value of the smoothing constant is preferred so that we do not overreact and adjust our forecasts too quickly. TrueFalse
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