EBK PRODUCTION AND OPERATIONS ANALYSIS
EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 8220102480681
Author: Olsen
Publisher: WAVELAND
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Chapter 9.8, Problem 19P

a.

Summary Introduction

Interpretation: The sequence required for processing the jobs resulting in minimizing the expected time of completion of all the said jobs.

Concept Introduction:

LEPT rule: LEPT when expanded is the longest expected processing time. According to this rule, completion time can be derived by arranging the jobs in decreasing order.

b.

Summary Introduction

Interpretation: The start and end times of each job should be computed when the job times are deterministic.

Concept Introduction:

Make span time: This is the time required to complete the last job before leaving the system.

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A computer center has two identical computers for batch processing. Thecomputers are used as parallel processors. Job times are estimated by the user, but experience has shown that an exponential distribution gives an accurate description of the actual job times. Suppose that at a point in time there are eight jobs remaining to be processed with the following expected job times (expressed in minutes):Job                          1    2    3     4   5     6     7    8Expected time         4    8    1   50   1   30    20   6a. In what sequence should the jobs be processed in order to minimize theexpected completion time of all eight jobs (i.e., the makespan)?b. Assume that computer A is occupied with a job that has exactly two minutes of processing time remaining and computer B is idle. If job times are deterministic, show the start and end times of each job on each computer using the sequence derived in part (a).
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