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Scheduling with agreements: new results

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  • Mohamed Bendraouche
  • Mourad Boudhar

Abstract

In this paper, the problem of scheduling with agreements (SWA) is considered. In scheduling, this consists of a set of jobs non-preemptively on identical machines subject to constraints that only some specific jobs can be scheduled concurrently on different machines. These constraints are given by an agreement graph and the aim is to minimise the makespan. In the case of two machines we extend two NP-hardness results of SWA with processing times at most three that hold for bipartite agreement graphs to more general agreement graphs. Complexity results of SWA are established in the case of split and complement of bipartite graphs. We also present some approximation results for SWA.

Suggested Citation

  • Mohamed Bendraouche & Mourad Boudhar, 2016. "Scheduling with agreements: new results," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3508-3522, June.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:12:p:3508-3522
    DOI: 10.1080/00207543.2015.1073860
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    Cited by:

    1. Yong Chen & Yinhui Cai & Longcheng Liu & Guangting Chen & Randy Goebel & Guohui Lin & Bing Su & An Zhang, 2022. "Path cover with minimum nontrivial paths and its application in two-machine flow-shop scheduling with a conflict graph," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 571-588, April.
    2. Nour El Houda Tellache & Mourad Boudhar, 2018. "Flow shop scheduling problem with conflict graphs," Annals of Operations Research, Springer, vol. 261(1), pages 339-363, February.

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