Batch scheduling with step‐deteriorating processing times to minimize flowtime

Baruch Mor and Gur Mosheiov

Naval Research Logistics (NRL), 2012, vol. 59, issue 8, 587-600

Abstract: Both topics of batch scheduling and of scheduling deteriorating jobs have been very popular among researchers in the last two decades. In this article, we study a model combining these two topics. We consider a classical batch scheduling model with unit‐jobs and batch‐independent setup times, and a model of step‐deterioration of processing times. The objective function is minimum flowtime. The optimal solution of the relaxed version (allowing non‐integer batch sizes) is shown to have a unique structure consisting of two consecutive decreasing arithmetic sequences of batch sizes. We also introduce a simple and efficient rounding procedure that guarantees integer batch sizes. The entire solution procedure requires an effort of O(n) (where nis the number of jobs.) © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012

Date: 2012
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https://doi.org/10.1002/nav.21508

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:59:y:2012:i:8:p:587-600

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