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Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan

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  • Allaoui, H.
  • Lamouri, S.
  • Artiba, A.
  • Aghezzaf, E.

Abstract

Most of the papers that deal with the two-machine flow shop problem assume that the machines are always available during the scheduling period. However, in most real life industrial settings a machine can be unavailable for many reasons. This paper is concerned with the problem of jointly scheduling n immediately available jobs and the preventive maintenance in a two-machine flow shop with the objective of minimizing the makespan. We consider that one of the two machines must be maintained once during the first T periods of the schedule. Only the non-resumable case is studied. We first focus on the particularity of this problem. After we present some properties of the optimal solution then we show that the problem is NP-hard. We last focus on the optimal solutions under some conditions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:1:p:161-167
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    References listed on IDEAS

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    1. Lee, Chung-Yee, 1999. "Two-machine flowshop scheduling with availability constraints," European Journal of Operational Research, Elsevier, vol. 114(2), pages 420-429, April.
    2. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    3. X Qi & T Chen & F Tu, 1999. "Scheduling the maintenance on a single machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1071-1078, October.
    4. 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.
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    Cited by:

    1. Moghaddam, Kamran S., 2013. "Multi-objective preventive maintenance and replacement scheduling in a manufacturing system using goal programming," International Journal of Production Economics, Elsevier, vol. 146(2), pages 704-716.
    2. Song Jiu, 2021. "A two-phase approach for integrating preventive maintenance with production and delivery in an unreliable coal mine," Journal of Heuristics, Springer, vol. 27(6), pages 991-1020, December.
    3. 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.
    4. Zhou, Xiaojun & Lu, Zhiqiang & Xi, Lifeng, 2012. "Preventive maintenance optimization for a multi-component system under changing job shop schedule," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 14-20.
    5. Hadda, Hatem, 2015. "A note on “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. 159(C), pages 221-222.
    6. 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.
    7. Fatima Benbouzid-Si Tayeb & Karima Benatchba & Abd-Essalam Messiaid, 2018. "Game theory-based integration of scheduling with flexible and periodic maintenance planning in the permutation flowshop sequencing problem," Operational Research, Springer, vol. 18(1), pages 221-255, April.
    8. Xia, Tangbin & Dong, Yifan & Xiao, Lei & Du, Shichang & Pan, Ershun & Xi, Lifeng, 2018. "Recent advances in prognostics and health management for advanced manufacturing paradigms," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 255-268.
    9. Wahiba Jomaa & Mansour Eddaly & Bassem Jarboui, 2021. "Variable neighborhood search algorithms for the permutation flowshop scheduling problem with the preventive maintenance," Operational Research, Springer, vol. 21(4), pages 2525-2542, December.
    10. Mostafa Zandieh & Seyed Mojtaba Sajadi & Reza Behnoud, 2017. "Integrated production scheduling and maintenance planning in a hybrid flow shop system: a multi-objective approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1630-1642, November.
    11. Wolter, Anja & Helber, Stefan, 2013. "Simultaneous Production and Maintenance Planning for a Single Capacitated Resource facing both a Dynamic Demand and Intensive Wear and Tear," Hannover Economic Papers (HEP) dp-522, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    12. Sun, Kaibiao & Li, Hongxing, 2010. "Scheduling problems with multiple maintenance activities and non-preemptive jobs on two identical parallel machines," International Journal of Production Economics, Elsevier, vol. 124(1), pages 151-158, March.
    13. Zied Hajej & Nidhal Rezg & Tarek Askri, 2020. "Joint optimization of capacity, production and maintenance planning of leased machines," Journal of Intelligent Manufacturing, Springer, vol. 31(2), pages 351-374, February.
    14. Hnaien, Faicel & Yalaoui, Farouk & Mhadhbi, Ahmed, 2015. "Makespan minimization on a two-machine flowshop with an availability constraint on the first machine," International Journal of Production Economics, Elsevier, vol. 164(C), pages 95-104.
    15. R. Jamshidi & Mir Seyyed Esfahani, 2014. "Human resources scheduling to improve the product quality according to exhaustion limit," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 1028-1041, October.
    16. Xia, Tangbin & Jin, Xiaoning & Xi, Lifeng & Ni, Jun, 2015. "Production-driven opportunistic maintenance for batch production based on MAM–APB scheduling," European Journal of Operational Research, Elsevier, vol. 240(3), pages 781-790.
    17. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.

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