A single machine scheduling problem to minimize total early work

Yoav Ben-Yehoshua, Gur Mosheiov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

We study a single machine scheduling problem, where the objective is minimum total early work. In this setting, a job is penalized according to the duration of the parts of the job completed prior to its due-date. First we prove that the problem is NP-hard. Then, based on a number of properties of an optimal schedule, we introduce a pseudo-polynomial dynamic programming algorithm, verifying NP-hardness in the ordinary sense. Our numerical tests indicate that the dynamic programming solves problems of hundreds of jobs in very reasonable time.

Original languageAmerican English
Pages (from-to)115-118
Number of pages4
JournalComputers and Operations Research
Volume73
DOIs
StatePublished - Sep 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Ltd. All rights reserved.

Keywords

  • Dynamic programming
  • Scheduling
  • Single machine
  • Total early work

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