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A note: a due-window assignment problem on parallel identical machines

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  • G Mosheiov

    (The Hebrew University)

  • A Sarig

    (The Hebrew University)

Abstract

We solve a due-window assignment problem on parallel identical machines. In addition to the standard objective of finding the optimal job schedule, in due-window assignment problems one has to assign a time interval during which goods are delivered to customers with no cost. Jobs scheduled prior to or after the due-window are penalized according to their earliness/tardiness value. We assume that jobs have identical processing times, but may have job-dependent earliness and tardiness costs (eg, due to possible different destinations). We show that the problem can be reduced to a non-standard asymmetric assignment problem, and introduce an efficient (O(n 4)) solution procedure.

Suggested Citation

  • G Mosheiov & A Sarig, 2011. "A note: a due-window assignment problem on parallel identical machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 238-241, January.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:1:d:10.1057_jors.2009.179
    DOI: 10.1057/jors.2009.179
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    References listed on IDEAS

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    1. Gur Mosheiov & Daniel Oron, 2004. "Due‐window assignment with unit processing‐time jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(7), pages 1005-1017, October.
    2. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    3. Nicholas G. Hall & Wieslaw Kubiak & Suresh P. Sethi, 1991. "Earliness–Tardiness Scheduling Problems, II: Deviation of Completion Times About a Restrictive Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 847-856, October.
    4. Liman, Surya D. & Panwalkar, Shrikant S. & Thongmee, Sansern, 1996. "Determination of common due window location in a single machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 93(1), pages 68-74, August.
    5. Mosheiov, Gur & Yovel, Uri, 2006. "Minimizing weighted earliness-tardiness and due-date cost with unit processing-time jobs," European Journal of Operational Research, Elsevier, vol. 172(2), pages 528-544, July.
    6. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
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    Cited by:

    1. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.

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