Λ-shaped policies to schedule deteriorating jobs

Gur Mosheiov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

68 Scopus citations

Abstract

We study a problem of scheduling deteriorating jobs, i.e. jobs whose processing times are an increasing function of their starting times. We consider the case of a single machine and linear job-independent deterioration. The objective is to minimize the sum of weighted completion times, with weights proportional to the basic processing times. The optimal schedule is shown to be A-shaped, i.e. the sequence of the basic processing times has a single local maximum. Moreover, we show that the problem is solved in 0(N log N) time. In the last section we test heuristics for the case of general weights.

Original languageEnglish
Pages (from-to)1184-1194
Number of pages11
JournalJournal of the Operational Research Society
Volume47
Issue number9
DOIs
StatePublished - Sep 1996

Keywords

  • Deteriorating jobs
  • Deterministic scheduling
  • Sequencing

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