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Scheduling identical jobs with chain precedence constraints on two uniform machines

Author

Listed:
  • Peter Brucker
  • Johann Hurink
  • Wieslaw Kubiak

Abstract

The problem of scheduling identical jobs with chain precedence constraints on two uniform machines is considered. It is shown that the corresponding makespan problem can be solved in linear time. Copyright Springer-Verlag Berlin Heidelberg 1999

Suggested Citation

  • Peter Brucker & Johann Hurink & Wieslaw Kubiak, 1999. "Scheduling identical jobs with chain precedence constraints on two uniform machines," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 49(2), pages 211-219, April.
    • Handle: RePEc:spr:mathme:v:49:y:1999:i:2:p:211-219
    DOI: 10.1007/PL00020913
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    Citations

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    Cited by:

    1. Xing Chai & Wenhua Li, 2018. "Online scheduling with chain precedence constraints of equal-length jobs on parallel machines to minimize makespan," Journal of Combinatorial Optimization, Springer, vol. 36(2), pages 472-492, August.
    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. Faramroze G. Engineer & Pınar Keskinocak & Larry K. Pickering, 2009. "OR Practice---Catch-Up Scheduling for Childhood Vaccination," Operations Research, INFORMS, vol. 57(6), pages 1307-1319, December.
    4. D. Prot & O. Bellenguez-Morineau, 2018. "A survey on how the structure of precedence constraints may change the complexity class of scheduling problems," Journal of Scheduling, Springer, vol. 21(1), pages 3-16, February.

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