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Two-machine flow shop scheduling integrated with preventive maintenance planning

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  • Shijin Wang
  • Ming Liu

Abstract

This paper investigates an integrated optimisation problem of production scheduling and preventive maintenance (PM) in a two-machine flow shop with time to failure of each machine subject to a Weibull probability distribution. The objective is to find the optimal job sequence and the optimal PM decisions before each job such that the expected makespan is minimised. To investigate the value of integrated scheduling solution, computational experiments on small-scale problems with different configurations are conducted with total enumeration method, and the results are compared with those of scheduling without maintenance but with machine degradation, and individual job scheduling combined with independent PM planning. Then, for large-scale problems, four genetic algorithm (GA) based heuristics are proposed. The numerical results with several large problem sizes and different configurations indicate the potential benefits of integrated scheduling solution and the results also show that proposed GA-based heuristics are efficient for the integrated problem.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:672-690
    DOI: 10.1080/00207721.2014.900137
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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.
    2. De Giovanni, L. & Pezzella, F., 2010. "An Improved Genetic Algorithm for the Distributed and Flexible Job-shop Scheduling problem," European Journal of Operational Research, Elsevier, vol. 200(2), pages 395-408, January.
    3. Pickardt, Christoph W. & Hildebrandt, Torsten & Branke, Jürgen & Heger, Jens & Scholz-Reiter, Bernd, 2013. "Evolutionary generation of dispatching rule sets for complex dynamic scheduling problems," International Journal of Production Economics, Elsevier, vol. 145(1), pages 67-77.
    4. 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.
    5. Allaoui, H. & Artiba, A. & Elmaghraby, S.E. & Riane, F., 2006. "Scheduling of a two-machine flowshop with availability constraints on the first machine," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 16-27, February.
    6. 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.
    7. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
    8. M. A. Kubzin & V. A. Strusevich, 2006. "Planning Machine Maintenance in Two-Machine Shop Scheduling," Operations Research, INFORMS, vol. 54(4), pages 789-800, August.
    9. Allaoui, Hamid & Artiba, AbdelHakim, 2009. "Johnson's algorithm: A key to solve optimally or approximately flow shop scheduling problems with unavailability periods," International Journal of Production Economics, Elsevier, vol. 121(1), pages 81-87, September.
    10. Chen, Tao & Li, Jiawen & Jin, Ping & Cai, Guobiao, 2013. "Reusable rocket engine preventive maintenance scheduling using genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 52-60.
    11. 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.
    12. 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.
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    Cited by:

    1. 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.

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