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Complexity results and approximation algorithms for the two machine no-wait flow-shop with limited machine availability

Author

Listed:
  • M-L Espinouse

    (LOSI, Université de Technologie de Troyes)

  • P Formanowicz

    (Poznań University of Technology)

  • B Penz

    (GILCO, ENSGI-INPG)

Abstract

The scheduling problems studied in this paper concern a two-machine no-wait flow shop problem with limited machine availability. In this model, we assume that machines may not always be available, for example because of preventive maintenance. We only consider the deterministic case where the unavailable periods are known in advance. The objective function considered is the maximum completion time (Cmax). We prove that the problem is NP-hard even if only one non-availability period occurs on one of machines, and NP-hard in the strong sense for arbitrary numbers of non-availability periods. We also provide heuristic algorithms with error bounding analysis.

Suggested Citation

  • M-L Espinouse & P Formanowicz & B Penz, 2001. "Complexity results and approximation algorithms for the two machine no-wait flow-shop with limited machine availability," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(1), pages 116-121, January.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:1:d:10.1057_palgrave.jors.2601025
    DOI: 10.1057/palgrave.jors.2601025
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    Citations

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    Cited by:

    1. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    2. Seyed Habib A. Rahmati & Abbas Ahmadi & Kannan Govindan, 2018. "A novel integrated condition-based maintenance and stochastic flexible job shop scheduling problem: simulation-based optimization approach," Annals of Operations Research, Springer, vol. 269(1), pages 583-621, October.
    3. Mikhail A. Kubzin & Vitaly A. Strusevich, 2004. "Two‐machine flow shop no‐wait scheduling with a nonavailability interval," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 613-631, June.
    4. Abdelhamid Boudjelida, 2019. "On the robustness of joint production and maintenance scheduling in presence of uncertainties," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1515-1530, April.

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