Batch scheduling with step-deteriorating processing times to minimize flowtime

Baruch Mor, Gur Mosheiov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

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

Original languageAmerican English
Pages (from-to)587-600
Number of pages14
JournalNaval Research Logistics
Volume59
Issue number8
DOIs
StatePublished - Dec 2012

Keywords

  • batch scheduling
  • flowtime
  • single machine
  • step-deterioration

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