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A note on lot scheduling on a single machine to minimize maximum weighted tardiness

Author

Listed:
  • Gur Mosheiov

    (The Hebrew University
    Jerusalem College of Technology, Lev Academic Center)

  • Assaf Sarig

    (The Hebrew University
    College of Law & Business)

Abstract

We study a single machine lot scheduling problem. Customers’ orders may be processed simultaneously in the same lot. The order sizes are assumed to be order-dependent, and the lots have identical size and identical processing time. Orders may be split, i.e., their processing may be performed on two consecutive lots. We assume order-dependent due-dates and weights, and the goal is to minimize the maximum weighted tardiness among all orders. A polynomial time solution algorithm is introduced.

Suggested Citation

  • Gur Mosheiov & Assaf Sarig, 2023. "A note on lot scheduling on a single machine to minimize maximum weighted tardiness," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-11, July.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:5:d:10.1007_s10878-023-01040-7
    DOI: 10.1007/s10878-023-01040-7
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    References listed on IDEAS

    as
    1. E. L. Lawler, 1973. "Optimal Sequencing of a Single Machine Subject to Precedence Constraints," Management Science, INFORMS, vol. 19(5), pages 544-546, January.
    2. Baruch Mor & Gur Mosheiov, 2021. "A note on the single machine CON and CONW problems with lot scheduling," Journal of Combinatorial Optimization, Springer, vol. 42(2), pages 327-338, August.
    3. Baruch Mor & Gur Mosheiov & Dana Shapira, 2021. "Single machine lot scheduling with optional job-rejection," Journal of Combinatorial Optimization, Springer, vol. 41(1), pages 1-11, January.
    Full references (including those not matched with items on IDEAS)

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