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An improved approximation scheme for scheduling a maintenance and proportional deteriorating jobs

  • Imed Kacem
  • , Eugene Levner

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

In this paper, we re-visit the problem of scheduling a set of proportional deteriorating non-resumable jobs on a single machine subject to maintenance. The maintenance has to be started prior to a given deadline. The jobs as well as the maintenance are to be scheduled so that to minimize the total completion time. For this problem we propose a new dynamic programming algorithm and a faster fully polynomial time approximation scheme improving a recent result by Luo and Chen [JIMO (2012), 8:2, 271-283].

Original languageEnglish
Pages (from-to)811-817
Number of pages7
JournalJournal of Industrial and Management Optimization
Volume12
Issue number3
DOIs
StatePublished - 2016
Externally publishedYes

Bibliographical note

Funding Information:
The research of the second author was supported in part by the National Natural Science Foundation of China under grant 71101016.

Funding

The research of the second author was supported in part by the National Natural Science Foundation of China under grant 71101016.

FundersFunder number
National Natural Science Foundation of China71101016

    Keywords

    • Approximation scheme
    • Deteriorating jobs
    • Maintenance activities
    • Scheduling
    • Total completion time

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