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Scheduling equal length jobs with eligibility restrictions

Author

Listed:
  • Juntaek Hong

    (Pohang University of Science and Technology)

  • Kangbok Lee

    (Pohang University of Science and Technology)

  • Michael L. Pinedo

    (New York University)

Abstract

We consider the problem of scheduling independent jobs on identical parallel machines to minimize the total completion time. Each job has a set of eligible machines and a given release date, and all jobs have equal processing times. For the problem with a fixed number of machines, we determine its computational complexity by providing a polynomial time dynamic programming algorithm. We also present two polynomial time approximation algorithms along with their worst case analyses. Experiments with randomly generated instances show that the proposed algorithms consistently generate schedules that are very close to optimal.

Suggested Citation

  • Juntaek Hong & Kangbok Lee & Michael L. Pinedo, 2020. "Scheduling equal length jobs with eligibility restrictions," Annals of Operations Research, Springer, vol. 285(1), pages 295-314, February.
    • Handle: RePEc:spr:annopr:v:285:y:2020:i:1:d:10.1007_s10479-019-03172-8
    DOI: 10.1007/s10479-019-03172-8
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    References listed on IDEAS

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    1. W. A. Horn, 1973. "Technical Note—Minimizing Average Flow Time with Parallel Machines," Operations Research, INFORMS, vol. 21(3), pages 846-847, June.
    2. Li, Chung-Lun, 2006. "Scheduling unit-length jobs with machine eligibility restrictions," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1325-1328, October.
    3. Peter Brucker & Bernd Jurisch & Andreas Krämer, 1997. "Complexity of scheduling problems with multi-purpose machines," Annals of Operations Research, Springer, vol. 70(0), pages 57-73, April.
    4. Leung, Joseph Y.-T. & Li, Chung-Lun, 2008. "Scheduling with processing set restrictions: A survey," International Journal of Production Economics, Elsevier, vol. 116(2), pages 251-262, December.
    5. Jinwen Ou & Joseph Y.‐T. Leung & Chung‐Lun Li, 2008. "Scheduling parallel machines with inclusive processing set restrictions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 328-338, June.
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    Cited by:

    1. Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2021. "Ideal schedules in parallel machine settings," European Journal of Operational Research, Elsevier, vol. 290(2), pages 422-434.

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