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 2.7, Problem 22P

a.

Summary Introduction

To calculate:The one-step forecasts for February through May with the use of exponential smoothing.

Introduction:Exponential smoothing of time series involves assigning datain exponentially decreasing weights fromlatest to oldest observations. Simply by putting the older data, less priority is given to the data. The newer data becomes more relevant to which more weight is assigned.

b.

Summary Introduction

To calculate:The difference in forecasts if value of α is 0.40.

Introduction: Exponential smoothing of time series involves assigning datain exponentially decreasing weights from latest to oldest observations. Simply by putting the older data, less priority is given to the data. The newer data becomes more relevant to which more weight is assigned.

c.

Summary Introduction

To calculate: The MSEs for the forecasts obtained in parts ( a ) and ( b ) for February through April and to find out the more accurate forecasts for the value of α , based on the MSE.

Introduction: Exponential smoothing of time series involves assigning datain exponentially decreasing weights from latest to oldest observations. Simply by putting the older data, less priority is given to the data. The newer data becomes more relevant to which more weight is assigned.

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Handy, Inc., produces a solar-powered electronic calculator that has experiencedthe following monthly sales history for the first four months of the year, inthousands of units:January 23.3 March 30.3February 72.3 April 15.5a. If the forecast for January was 25, determine the one-step-ahead forecasts forFebruary through May using exponential smoothing with a smoothing constant of a=.15.b. Repeat the calculation in part (a) for a value of a= .40. What difference in theforecasts do you observe?c. Compute the MSEs for the forecasts you obtained in parts (a) and (b) forFebruary through April. Which value of a gave more accurate forecasts, basedon the MSE?
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