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The two-machine open-shop problem with unit-time operations and time delays to minimize the makespan

Author

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  • Munier-Kordon, Alix
  • Rebaine, Djamal

Abstract

This paper addresses the problem of scheduling unit-time operations with integral and non-negative time delay considerations on a two-machine open-shop environment. The criterion to minimize is the makespan. Two well solvable cases and two approximation algorithms, with their worst-case analyses, are presented.

Suggested Citation

  • Munier-Kordon, Alix & Rebaine, Djamal, 2010. "The two-machine open-shop problem with unit-time operations and time delays to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 203(1), pages 42-49, May.
  • Handle: RePEc:eee:ejores:v:203:y:2010:i:1:p:42-49
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    References listed on IDEAS

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    1. D Rebaine & V A Strusevich, 1999. "Two-machine open shop scheduling with special transportation times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 756-764, July.
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    Cited by:

    1. Courtad, Brenda & Baker, Kenneth & Magazine, Michael & Polak, George, 2017. "Minimizing flowtime for paired tasks," European Journal of Operational Research, Elsevier, vol. 259(3), pages 818-828.
    2. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.
    3. Shahaboddin Shamshirband & Mohammad Shojafar & A. Hosseinabadi & Maryam Kardgar & M. Nasir & Rodina Ahmad, 2015. "OSGA: genetic-based open-shop scheduling with consideration of machine maintenance in small and medium enterprises," Annals of Operations Research, Springer, vol. 229(1), pages 743-758, June.

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