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V-Shaped Policies for Scheduling Deteriorating Jobs

Author

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  • Gur Mosheiov

    (Hebrew University, Jerusalem, Israel and Baruch College of the City University of New York)

Abstract

A set of N jobs has to be processed on a single machine. Jobs have the same basic processing time, but the actual processing time of each job grows linearly with its starting time. A (possibly) different rate of growth is associated with each job. We show that the optimal sequence to minimize flow time is V-shaped: Jobs are arranged in descending order of growth rate if they are placed before the minimal growth rate job, and in ascending order if placed after it. Efficient (0( N log N )) asymptotically optimal heuristics are developed. Their average performance is shown to be extremely good: The average relative error over a set of 20-job problems is on the order of 10 −5 .

Suggested Citation

  • Gur Mosheiov, 1991. "V-Shaped Policies for Scheduling Deteriorating Jobs," Operations Research, INFORMS, vol. 39(6), pages 979-991, December.
    • Handle: RePEc:inm:oropre:v:39:y:1991:i:6:p:979-991
    DOI: 10.1287/opre.39.6.979
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