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Nondominated Schedules for a Job-Shop with Two Competing Users

Author

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  • A. Agnetis

    (Università di Siena)

  • P.B. Mirchandani

    (The University of Arizona)

  • D. Pacciarelli

    (Università di Roma Tre)

  • A. Pacifici

    (Università di Roma “Tor Vergata”)

Abstract

We consider the scenario where two users compete to perform their respective jobs on a common set of resources. The job for each user has a due-date and the cost function associated with the due-date is quasi-convex (i.e., it has a single local minimum). We characterize the set of nondominated schedules over which the users may negotiate and develop a polynomial algorithm to find this nondominated set.

Suggested Citation

  • A. Agnetis & P.B. Mirchandani & D. Pacciarelli & A. Pacifici, 2000. "Nondominated Schedules for a Job-Shop with Two Competing Users," Computational and Mathematical Organization Theory, Springer, vol. 6(2), pages 191-217, July.
  • Handle: RePEc:spr:comaot:v:6:y:2000:i:2:d:10.1023_a:1009637419820
    DOI: 10.1023/A:1009637419820
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Donatas Elvikis & Vincent T’kindt, 2014. "Two-agent scheduling on uniform parallel machines with min-max criteria," Annals of Operations Research, Springer, vol. 213(1), pages 79-94, February.
    3. Yunqiang Yin & T. C. E. Cheng & Du-Juan Wang & Chin-Chia Wu, 2017. "Two-agent flowshop scheduling to maximize the weighted number of just-in-time jobs," Journal of Scheduling, Springer, vol. 20(4), pages 313-335, August.
    4. Zhenyou Wang & Cai-Min Wei & Yu-Bin Wu, 2016. "Single Machine Two-Agent Scheduling with Deteriorating Jobs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-17, October.

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