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A network flow-based method to solve performance cost and makespan open-shop scheduling problems with time-windows

Author

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  • Sedeño-Noda, A.
  • de Pablo, D. Alcaide López
  • González-Martín, C.

Abstract

This paper deals with several bicriteria open-shop scheduling problems where jobs are pre-emptable and their corresponding time-windows must be strictly respected. The criteria are a performance cost and the makespan. Network flow approaches are used in a lexmin procedure with a bounded makespan and the considered bicriteria problems are solved. Finally, the computational complexity of the algorithm and a numerical example are reported.

Suggested Citation

  • Sedeño-Noda, A. & de Pablo, D. Alcaide López & González-Martín, C., 2009. "A network flow-based method to solve performance cost and makespan open-shop scheduling problems with time-windows," European Journal of Operational Research, Elsevier, vol. 196(1), pages 140-154, July.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:1:p:140-154
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    References listed on IDEAS

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    1. Chen, Y. L., 1994. "Scheduling jobs to minimize total cost," European Journal of Operational Research, Elsevier, vol. 74(1), pages 111-119, April.
    2. A. Federgruen & H. Groenevelt, 1986. "Preemptive Scheduling of Uniform Machines by Ordinary Network Flow Techniques," Management Science, INFORMS, vol. 32(3), pages 341-349, March.
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    6. Sedeno-Noda, A. & Alcaide, D. & Gonzalez-Martin, C., 2006. "Network flow approaches to pre-emptive open-shop scheduling problems with time-windows," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1501-1518, November.
    7. Chen, Y. L., 1995. "A parametric maximum flow algorithm for bipartite graphs with applications," European Journal of Operational Research, Elsevier, vol. 80(1), pages 226-235, January.
    8. Yookun Cho & Sartaj Sahni, 1981. "Preemptive Scheduling of Independent Jobs with Release and Due Times on Open, Flow and Job Shops," Operations Research, INFORMS, vol. 29(3), pages 511-522, June.
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    Cited by:

    1. Mehdi Ghiyasvand, 2015. "Solving the parametric bipartite maximum flow problem in unbalanced and closure bipartite graphs," Annals of Operations Research, Springer, vol. 229(1), pages 397-408, June.

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