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Single machine sequencing with linear models of release dates

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  • Adam Janiak

Abstract

The paper deals with a problem of scheduling a set of jobs on a single machine. Before a job is released for processing, it must undergo some preprocessing treatment that consumes resources. It is assumed that the release date of a job is a linear decreasing continuous function of the amount of a locally and globally constrained, continuously divisible resource (e.g., energy, catalyzer, financial outlay, gas). The problem is to find a sequence of jobs and a resource allocation that will minimize the maximum job completion time. Such a problem appears, for example, in the ingot preheating and hot‐rolling process in steel mills. It is shown that the problem is strongly NP‐hard. Some polynomially solvable cases of the problem and approximate algorithms with both experimental and worst‐case analysis are presented. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 99–113, 1998

Suggested Citation

  • Adam Janiak, 1998. "Single machine sequencing with linear models of release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(1), pages 99-113, February.
    • Handle: RePEc:wly:navres:v:45:y:1998:i:1:p:99-113
    DOI: 10.1002/(SICI)1520-6750(199802)45:13.0.CO;2-G
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    References listed on IDEAS

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    1. Jianzhong Du & Joseph Y.-T. Leung, 1990. "Minimizing Total Tardiness on One Machine is NP-Hard," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 483-495, August.
    2. Janiak, Adam, 1991. "Single machine scheduling problem with a common deadline and resource dependent release dates," European Journal of Operational Research, Elsevier, vol. 53(3), pages 317-325, August.
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    Cited by:

    1. Yiyo Kuo & Sheng-I Chen & Yen-Hung Yeh, 2020. "Single machine scheduling with sequence-dependent setup times and delayed precedence constraints," Operational Research, Springer, vol. 20(2), pages 927-942, June.

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