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Joint optimization of capacity, production and maintenance planning of leased machines

Author

Listed:
  • Zied Hajej

    (University of Lorraine)

  • Nidhal Rezg

    (University of Lorraine
    ICN Business School Nancy-Metz)

  • Tarek Askri

    (University of Lorraine)

Abstract

This paper deals with capacity design, production and preventive maintenance planning of a production system made of parallel leased machines. The production system must satisfy a random demand over a finite number of periods. The number of machines to be leased, the quantity to produce by each one and customer demand are variable. A joint optimization approach of a maintenance strategy and an economical production plan is developed by considering the influence of usage rates on the degradation of machines. Firstly, we determine a nearly optimal number of machines to be leased as well as the quantities to produce during each period. Secondly, given the obtained production plan, a periodic preventive maintenance policy with minimal repairs at failure is determined for each machine. Branch and bound and random exploration methods are used to obtain an optimal solution.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:joinma:v:31:y:2020:i:2:d:10.1007_s10845-018-1450-7
    DOI: 10.1007/s10845-018-1450-7
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    References listed on IDEAS

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    1. Klein, Robert & Scholl, Armin, 1996. "Maximizing the production rate in simple assembly line balancing -- A branch and bound procedure," European Journal of Operational Research, Elsevier, vol. 91(2), pages 367-385, June.
    2. Miller, Merton H & Upton, Charles W, 1976. "Leasing, Buying, and the Cost of Capital Services," Journal of Finance, American Finance Association, vol. 31(3), pages 761-786, June.
    3. Dehayem Nodem, F.I. & Kenné, J.P. & Gharbi, A., 2011. "Simultaneous control of production, repair/replacement and preventive maintenance of deteriorating manufacturing systems," International Journal of Production Economics, Elsevier, vol. 134(1), pages 271-282, November.
    4. Singhal, Jaya & Singhal, Kalyan, 1996. "Alternate approaches to solving the Holt et al. model and to performing sensitivity analysis," European Journal of Operational Research, Elsevier, vol. 91(1), pages 89-98, May.
    5. Liu, Xuejuan & Wang, Wenbin & Peng, Rui, 2015. "An integrated production, inventory and preventive maintenance model for a multi-product production system," Reliability Engineering and System Safety, Elsevier, vol. 137(C), pages 76-86.
    6. Chelbi, Anis & Ait-Kadi, Daoud, 2004. "Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance," European Journal of Operational Research, Elsevier, vol. 156(3), pages 712-718, August.
    7. Bouguerra, Soumaya & Chelbi, Anis & Rezg, Nidhal, 2012. "A decision model for adopting an extended warranty under different maintenance policies," International Journal of Production Economics, Elsevier, vol. 135(2), pages 840-849.
    8. 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.
    9. Ruey Yeh & Cheng-Kang Chen, 2006. "Periodical Preventive-Maintenance Contract for a Leased Facility with Weibull Life-Time," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(2), pages 303-313, April.
    10. Nakagawa, T. & Mizutani, S., 2009. "A summary of maintenance policies for a finite interval," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 89-96.
    11. Nourelfath, Mustapha & Châtelet, Eric, 2012. "Integrating production, inventory and maintenance planning for a parallel system with dependent components," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 59-66.
    12. John D. C. Little & Katta G. Murty & Dura W. Sweeney & Caroline Karel, 1963. "An Algorithm for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 11(6), pages 972-989, December.
    13. Preyas Desai & Devavrat Purohit, 1998. "Leasing and Selling: Optimal Marketing Strategies for a Durable Goods Firm," Management Science, INFORMS, vol. 44(11-Part-2), pages 19-34, November.
    14. Toshio Nakagawa, 2005. "Maintenance Theory of Reliability," Springer Series in Reliability Engineering, Springer, number 978-1-84628-221-8, July.
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    Cited by:

    1. Li, Yaping & Xia, Tangbin & Chen, Zhen & Pan, Ershun, 2023. "Multiple degradation-driven preventive maintenance policy for serial-parallel multi-station manufacturing systems," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    2. Yang, Hongbing & Li, Wenchao & Wang, Bin, 2021. "Joint optimization of preventive maintenance and production scheduling for multi-state production systems based on reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    3. Zhang, Wenyu & Zhang, Xiaohong & He, Shuguang & Zhao, Xing & He, Zhen, 2024. "Optimal condition-based maintenance policy for multi-component repairable systems with economic dependence in a finite-horizon," Reliability Engineering and System Safety, Elsevier, vol. 241(C).

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