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Heuristic algorithms for the two-machine flowshop with limited machine availability

Author

Listed:
  • Blazewicz, Jacek
  • Breit, Joachim
  • Formanowicz, Piotr
  • Kubiak, Wieslaw
  • Schmidt, Günter

Abstract

The paper studies a flowshop scheduling problem where machines are not available in given time intervals. The objective is to minimize the makespan. The problem is known to be NP-hard for two machines. We analyze constructive and local search based heuristic algorithms for the two-machine case. The algorithms are tested on easy and difficult test problems with up to 100 jobs and 10 intervals of non-availability. Computational results show that the algorithms perform well. For many problems an optimum solution is found.

Suggested Citation

  • Blazewicz, Jacek & Breit, Joachim & Formanowicz, Piotr & Kubiak, Wieslaw & Schmidt, Günter, 2001. "Heuristic algorithms for the two-machine flowshop with limited machine availability," Omega, Elsevier, vol. 29(6), pages 599-608, December.
    • Handle: RePEc:eee:jomega:v:29:y:2001:i:6:p:599-608
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    References listed on IDEAS

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    1. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    2. Osman, IH & Potts, CN, 1989. "Simulated annealing for permutation flow-shop scheduling," Omega, Elsevier, vol. 17(6), pages 551-557.
    3. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    4. Ogbu, FA & Smith, DK, 1991. "Simulated annealing for the permutation flowshop problem," Omega, Elsevier, vol. 19(1), pages 64-67.
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    Cited by:

    1. Shijin Wang & Ming Liu, 2016. "Two-machine flow shop scheduling integrated with preventive maintenance planning," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 672-690, February.
    2. Allaoui, H. & Artiba, A. & Elmaghraby, S.E. & Riane, F., 2006. "Scheduling of a two-machine flowshop with availability constraints on the first machine," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 16-27, February.
    3. Leong, Wei Dong & Teng, Sin Yong & How, Bing Shen & Ngan, Sue Lin & Lam, Hon Loong & Tan, Chee Pin & Ponnambalam, S. G., 2019. "Adaptive Analytical Approach to Lean and Green Operations," MPRA Paper 95449, University Library of Munich, Germany, revised 20 May 2019.
    4. Allaoui, H. & Lamouri, S. & Artiba, A. & Aghezzaf, E., 2008. "Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 112(1), pages 161-167, March.
    5. Chen, Wen-Jinn, 2009. "Minimizing number of tardy jobs on a single machine subject to periodic maintenance," Omega, Elsevier, vol. 37(3), pages 591-599, June.
    6. Aggoune, Riad, 2004. "Minimizing the makespan for the flow shop scheduling problem with availability constraints," European Journal of Operational Research, Elsevier, vol. 153(3), pages 534-543, March.
    7. Drótos, Márton & Erdos, Gábor & Kis, Tamás, 2009. "Computing lower and upper bounds for a large-scale industrial job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 197(1), pages 296-306, August.
    8. Aggoune, Riad & Portmann, Marie-Claude, 2006. "Flow shop scheduling problem with limited machine availability: A heuristic approach," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 4-15, February.
    9. C.T. Ng & Mikhail Y. Kovalyov, 2004. "An FPTAS for scheduling a two‐machine flowshop with one unavailability interval," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 307-315, April.

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