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Robust min–max regret scheduling to minimize the weighted number of late jobs with interval processing times

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  • Maciej Drwal

    (Wroclaw University of Science and Technology)

  • Jerzy Józefczyk

    (Wroclaw University of Science and Technology)

Abstract

We consider the robust version of single machine scheduling problem with the objective to minimize the weighted number of jobs completed after their due-dates. The jobs have uncertain processing times represented by intervals, and decision-maker must determine their execution sequence that minimizes the maximum regret. We develop an exact solution algorithm based on a specialized branch and bound method, using mixed-integer linear programming formulations for a common due-date and for job-dependent due-dates. Finally, we examine the solution algorithm in a series of computational experiments.

Suggested Citation

  • Maciej Drwal & Jerzy Józefczyk, 2020. "Robust min–max regret scheduling to minimize the weighted number of late jobs with interval processing times," Annals of Operations Research, Springer, vol. 284(1), pages 263-282, January.
    • Handle: RePEc:spr:annopr:v:284:y:2020:i:1:d:10.1007_s10479-019-03263-6
    DOI: 10.1007/s10479-019-03263-6
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Hamed Fahimi & Claude-Guy Quimper, 2023. "Overload-Checking and Edge-Finding for Robust Cumulative Scheduling," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1419-1438, November.

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