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Evaluation of the expected makespan of a set of non-resumable jobs on parallel machines with stochastic failures

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  • von Hoyningen-Huene, W.
  • Kiesmüller, G.P.

Abstract

In this paper we consider a production process at operative level on m identical parallel machines, which are subject to stochastic machine failures. To avoid long downtime of the machines, caused by unexpected failures, preventive maintenance activities are planned and conducted, but if a failure could not be averted a corrective maintenance has to be performed. Both maintenance activities are assumed to restore the machine to be “as good as new”. The maintenance activities, the number of jobs and their allocation to machines as well as their sequence have a large impact on the performance of the production process and the delivery dates.

Suggested Citation

  • von Hoyningen-Huene, W. & Kiesmüller, G.P., 2015. "Evaluation of the expected makespan of a set of non-resumable jobs on parallel machines with stochastic failures," European Journal of Operational Research, Elsevier, vol. 240(2), pages 439-446.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:2:p:439-446
    DOI: 10.1016/j.ejor.2014.07.044
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    References listed on IDEAS

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    1. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
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    3. Chen, Jen-Shiang, 2008. "Scheduling of nonresumable jobs and flexible maintenance activities on a single machine to minimize makespan," European Journal of Operational Research, Elsevier, vol. 190(1), pages 90-102, October.
    4. Xu, Dehua & Yin, Yunqiang & Li, Hongxing, 2009. "A note on "scheduling of nonresumable jobs and flexible maintenance activities on a single machine to minimize makespan"," European Journal of Operational Research, Elsevier, vol. 197(2), pages 825-827, September.
    5. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
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    7. 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.
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    Cited by:

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    2. Sobhani, A. & Wahab, M.I.M. & Neumann, W.P., 2017. "Incorporating human factors-related performance variation in optimizing a serial system," European Journal of Operational Research, Elsevier, vol. 257(1), pages 69-83.
    3. Zigao Wu & Shaohua Yu & Tiancheng Li, 2019. "A Meta-Model-Based Multi-Objective Evolutionary Approach to Robust Job Shop Scheduling," Mathematics, MDPI, vol. 7(6), pages 1-19, June.
    4. Hoyningen-Huene, Wiebke von, 2015. "Heuristics for an Integrated Maintenance and Production Scheduling Problem on Parallel Machines with Stochastic Failures and Non-Resumable Jobs," EconStor Preprints 112746, ZBW - Leibniz Information Centre for Economics.

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