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Complexity of scheduling problems with multi-purpose machines

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  • Peter Brucker
  • Bernd Jurisch
  • Andreas Krämer

Abstract

In a multi-purpose machine scheduling problem, jobs or operations can be processed by any machine of prespecified subsets of the machine set. In this paper, we study the computational complexity of such scheduling problems. We study scheduling problems with identical and uniform machines as well as problems with shop characteristics. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:70:y:1997:i:0:p:57-73:10.1023/a:1018950911030
    DOI: 10.1023/A:1018950911030
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    Cited by:

    1. Xiangtong Qi & Jonathan F. Bard & Gang Yu, 2004. "Class Scheduling for Pilot Training," Operations Research, INFORMS, vol. 52(1), pages 148-162, February.
    2. 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.
    3. Celia A. Glass & Hans Kellerer, 2007. "Parallel machine scheduling with job assignment restrictions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(3), pages 250-257, 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. André Rossi & Alexis Aubry & Mireille Jacomino, 2011. "A sensitivity analysis to assess the completion time deviation for multi-purpose machines facing demand uncertainty," Annals of Operations Research, Springer, vol. 191(1), pages 219-249, November.
    6. 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.
    7. Huiqiao Su & Michael Pinedo & Guohua Wan, 2017. "Parallel machine scheduling with eligibility constraints: A composite dispatching rule to minimize total weighted tardiness," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(3), pages 249-267, April.
    8. Li, Shuguang, 2017. "Parallel batch scheduling with inclusive processing set restrictions and non-identical capacities to minimize makespan," European Journal of Operational Research, Elsevier, vol. 260(1), pages 12-20.
    9. Aubry, A. & Rossi, A. & Espinouse, M.-L. & Jacomino, M., 2008. "Minimizing setup costs for parallel multi-purpose machines under load-balancing constraint," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1115-1125, June.
    10. Ferreira, Cristiane & Figueira, Gonçalo & Amorim, Pedro, 2021. "Scheduling Human-Robot Teams in collaborative working cells," International Journal of Production Economics, Elsevier, vol. 235(C).

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