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Approximation results for the two-machine job shop under limited machine availability

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  • Hatem Hadda

    (Université de Tunis El Manar)

Abstract

This paper tackles the two-machine job shop scheduling problem with limited machine availability under the resumable scenario. We provide a number of characterizations for the optimal solution. We also develop polynomial-time approximation schemes for two particular configurations and identify a polynomially solvable case.

Suggested Citation

  • Hatem Hadda, 2017. "Approximation results for the two-machine job shop under limited machine availability," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 651-662, September.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:3:d:10.1007_s12597-017-0298-5
    DOI: 10.1007/s12597-017-0298-5
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    References listed on IDEAS

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    1. Teofilo Gonzalez & Sartaj Sahni, 1978. "Flowshop and Jobshop Schedules: Complexity and Approximation," Operations Research, INFORMS, vol. 26(1), pages 36-52, February.
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    3. D. P. Williamson & L. A. Hall & J. A. Hoogeveen & C. A. J. Hurkens & J. K. Lenstra & S. V. Sevast'janov & D. B. Shmoys, 1997. "Short Shop Schedules," Operations Research, INFORMS, vol. 45(2), pages 288-294, April.
    4. Kubiak, Wieslaw & Blazewicz, Jacek & Formanowicz, Piotr & Breit, Joachim & Schmidt, Gunter, 2002. "Two-machine flow shops with limited machine availability," European Journal of Operational Research, Elsevier, vol. 136(3), pages 528-540, February.
    5. Lee, Chung-Yee, 1999. "Two-machine flowshop scheduling with availability constraints," European Journal of Operational Research, Elsevier, vol. 114(2), pages 420-429, April.
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