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Two-machine flow shop and open shop scheduling problems with a single maintenance window

Author

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  • Mosheiov, Gur
  • Sarig, Assaf
  • Strusevich, Vitaly A
  • Mosheiff, Jonathan

Abstract

The paper considers the two-machine flow shop and open shop scheduling problems to minimize the makespan, provided that one of the machines is subject to maintenance, which has to start within a prescribed time window. In the case of the flow shop, maintenance is performed on the second machine. A non-resumable setting is considered, i.e., if a job cannot be completed prior to the maintenance, it must restart from scratch after the maintenance. For each of these NP-hard problems we develop a 3/2–approximation algorithm.

Suggested Citation

  • Mosheiov, Gur & Sarig, Assaf & Strusevich, Vitaly A & Mosheiff, Jonathan, 2018. "Two-machine flow shop and open shop scheduling problems with a single maintenance window," European Journal of Operational Research, Elsevier, vol. 271(2), pages 388-400.
    • Handle: RePEc:eee:ejores:v:271:y:2018:i:2:p:388-400
    DOI: 10.1016/j.ejor.2018.04.019
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    References listed on IDEAS

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    Cited by:

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    3. 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.
    4. Jin Qian & Haiyan Han, 2022. "Improved algorithms for proportionate flow shop scheduling with due-window assignment," Annals of Operations Research, Springer, vol. 309(1), pages 249-258, February.
    5. Geurtsen, M. & Didden, Jeroen B.H.C. & Adan, J. & Atan, Z. & Adan, I., 2023. "Production, maintenance and resource scheduling: A review," European Journal of Operational Research, Elsevier, vol. 305(2), pages 501-529.
    6. Yuan Yuan & Yan Lan & Ning Ding & Xin Han, 2022. "A PTAS for non-resumable open shop scheduling with an availability constraint," Journal of Combinatorial Optimization, Springer, vol. 43(2), pages 350-362, March.
    7. Castro, Pedro M. & Harjunkoski, Iiro & Grossmann, Ignacio E., 2019. "Discrete and continuous-time formulations for dealing with break periods: Preemptive and non-preemptive scheduling," European Journal of Operational Research, Elsevier, vol. 278(2), pages 563-577.
    8. Lin, Ran & Wang, Jun-Qiang & Liu, Zhixin & Xu, Jun, 2023. "Best possible algorithms for online scheduling on identical batch machines with periodic pulse interruptions," European Journal of Operational Research, Elsevier, vol. 309(1), pages 53-64.

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