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Two-agent parallel machine scheduling with a restricted number of overlapped reserved tasks

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  • Choi, Byung-Cheon
  • Park, Myoung-Ju

Abstract

We consider a two-agent scheduling problem on parallel machines such that each task of agent 2 has a given time window. Furthermore, we introduce a resource constraint under which the number of simultaneously processed tasks of agent 2 is restricted, although some machines are available. The objective is to minimize the total completion time for agent 1 while the total weight of the processed tasks for agent 2 is at or above a given threshold. Because the problem is known to be strongly NP-hard, we focus on the case with unit processing time. We analyze the computational complexity for its special cases, which have some restrictions on four parameters: the weight and the duration of agent 2, the number of machines, and the maximum number of simultaneously processed tasks of agent 2.

Suggested Citation

  • Choi, Byung-Cheon & Park, Myoung-Ju, 2017. "Two-agent parallel machine scheduling with a restricted number of overlapped reserved tasks," European Journal of Operational Research, Elsevier, vol. 260(2), pages 514-519.
    • Handle: RePEc:eee:ejores:v:260:y:2017:i:2:p:514-519
    DOI: 10.1016/j.ejor.2017.01.010
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    References listed on IDEAS

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    1. Joseph Y.-T. Leung & Michael Pinedo & Guohua Wan, 2010. "Competitive Two-Agent Scheduling and Its Applications," Operations Research, INFORMS, vol. 58(2), pages 458-469, April.
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    5. Perez-Gonzalez, Paz & Framinan, Jose M., 2014. "A common framework and taxonomy for multicriteria scheduling problems with interfering and competing jobs: Multi-agent scheduling problems," European Journal of Operational Research, Elsevier, vol. 235(1), pages 1-16.
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    Cited by:

    1. Tifenn Rault & Faiza Sadi & Jean-Charles Billaut & Ameur Soukhal, 2024. "Scheduling two interfering job sets on identical parallel machines with makespan and total completion time minimization," Journal of Scheduling, Springer, vol. 27(5), pages 485-505, October.
    2. Byung-Gyoo Kim & Byung-Cheon Choi & Myoung-Ju Park, 2017. "Two-Machine and Two-Agent Flow Shop with Special Processing Times Structures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-17, August.

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