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Parallel-machine scheduling with maintenance: Praising the assignment problem

Author

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  • Gara-Ali, Ahmed
  • Finke, Gerd
  • Espinouse, Marie-Laure

Abstract

We consider a general model for scheduling jobs on unrelated parallel-machines with maintenance interventions. The processing times are deteriorating with their position in the production sequence and the goal of the maintenance is to help to restore good processing conditions. The maintenance duration is depending on the time elapsed since the last maintenance intervention.

Suggested Citation

  • Gara-Ali, Ahmed & Finke, Gerd & Espinouse, Marie-Laure, 2016. "Parallel-machine scheduling with maintenance: Praising the assignment problem," European Journal of Operational Research, Elsevier, vol. 252(1), pages 90-97.
    • Handle: RePEc:eee:ejores:v:252:y:2016:i:1:p:90-97
    DOI: 10.1016/j.ejor.2015.12.047
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    References listed on IDEAS

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    1. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Single machine scheduling with general positional deterioration and rate-modifying maintenance," Omega, Elsevier, vol. 40(6), pages 791-804.
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    5. Chang, Pei-Chann & Chen, Shih-Hsin & Mani, V., 2009. "A note on due-date assignment and single machine scheduling with a learning/aging effect," International Journal of Production Economics, Elsevier, vol. 117(1), pages 142-149, January.
    6. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
    7. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
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    9. Mosheiov, Gur, 2001. "Scheduling problems with a learning effect," European Journal of Operational Research, Elsevier, vol. 132(3), pages 687-693, August.
    10. Wang, Ji-Bo, 2007. "Single-machine scheduling problems with the effects of learning and deterioration," Omega, Elsevier, vol. 35(4), pages 397-402, August.
    11. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
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    14. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.
    15. Radosław Rudek, 2012. "Scheduling problems with position dependent job processing times: computational complexity results," Annals of Operations Research, Springer, vol. 196(1), pages 491-516, July.
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    Cited by:

    1. Finke, Gerd & Gara-Ali, Ahmed & Espinouse, Marie-Laure & Jost, Vincent & Moncel, Julien, 2017. "Unified matrix approach to solve production-maintenance problems on a single machine," Omega, Elsevier, vol. 66(PA), pages 140-146.
    2. Norelhouda Sekkal & Fayçal Belkaid, 2020. "A multi-objective simulated annealing to solve an identical parallel machine scheduling problem with deterioration effect and resources consumption constraints," Journal of Combinatorial Optimization, Springer, vol. 40(3), pages 660-696, October.
    3. 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.
    4. Norelhouda Sekkal & Fayçal Belkaid, 0. "A multi-objective simulated annealing to solve an identical parallel machine scheduling problem with deterioration effect and resources consumption constraints," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-37.
    5. Gössinger, Ralf & Helmke, Hanna & Kaluzny, Michael, 2017. "Condition-based release of maintenance jobs in a decentralised production-maintenance system – An analysis of alternative stochastic approaches," International Journal of Production Economics, Elsevier, vol. 193(C), pages 528-537.
    6. Wang, Haibo & Alidaee, Bahram, 2019. "Effective heuristic for large-scale unrelated parallel machines scheduling problems," Omega, Elsevier, vol. 83(C), pages 261-274.

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