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Coupled task scheduling with time-dependent processing times

Author

Listed:
  • Mostafa Khatami

    (University of Technology Sydney)

  • Amir Salehipour

    (University of Technology Sydney)

Abstract

The single machine coupled task scheduling problem includes a set of jobs, each with two separated tasks, and there is an exact delay between the tasks. We investigate the single machine coupled task scheduling problem with the objective of minimizing the makespan under identical processing time for the first task and identical delay period for all jobs, and the time-dependent processing time setting for the second task. Certain healthcare appointment scheduling problems can be modeled as the coupled task scheduling problem. Also, the incorporation of time-dependent processing time for the second task lets the human resource fatigue and the deteriorating health conditions be modeled. We provide optimal solution under certain conditions. In addition, we propose a dynamic program under the condition that the majority of jobs share the same time-dependent characteristic. We develop a heuristic for the general case and show that the heuristic performs well.

Suggested Citation

  • Mostafa Khatami & Amir Salehipour, 2021. "Coupled task scheduling with time-dependent processing times," Journal of Scheduling, Springer, vol. 24(2), pages 223-236, April.
    • Handle: RePEc:spr:jsched:v:24:y:2021:i:2:d:10.1007_s10951-020-00675-2
    DOI: 10.1007/s10951-020-00675-2
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    References listed on IDEAS

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    1. József Békési & Gábor Galambos & Michael Jung & Marcus Oswald & Gerhard Reinelt, 2014. "A branch-and-bound algorithm for the coupled task problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(1), pages 47-81, August.
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    4. Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2020. "Coupled task scheduling with exact delays: Literature review and models," European Journal of Operational Research, Elsevier, vol. 282(1), pages 19-39.
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    Cited by:

    1. David Fischer & Péter Györgyi, 2023. "Approximation algorithms for coupled task scheduling minimizing the sum of completion times," Annals of Operations Research, Springer, vol. 328(2), pages 1387-1408, September.

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