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An integrated production, inventory and preventive maintenance model for a multi-product production system

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  • Liu, Xuejuan
  • Wang, Wenbin
  • Peng, Rui

Abstract

This paper considers a production system that can produce multiple products alternately. Products go through the system in a sequence and a complete run of all products forms a production cycle. An integrated production, inventory and preventive maintenance model is constructed, which is characterized by the delay-time concept. Two different situations are studied based on whether the unqualified products and downtime caused by the failures of the system, set-up and preventive maintenance can be ignored or not. Three cases are considered for each situation, depending on the position of the preventive maintenance epochs: the first case, where preventive maintenance is carried out at the end of each production cycle; the second case, where preventive maintenance is carried out at each set-up time of the products; and the third case, where preventive maintenance is carried out at some set-up times only, since it may not always be optimal to carry out preventive maintenance at the end of the production cycle or at each set-up time. The modeling objectives are to find the optimal number of production cycles per year and the optimal position of preventive maintenance that will maximize the expected profit per unit time. Numerical examples, using real data, are presented to illustrate the model.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:137:y:2015:i:c:p:76-86
    DOI: 10.1016/j.ress.2015.01.002
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    References listed on IDEAS

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    1. Wang, Wenbin & Banjevic, Dragan, 2012. "Ergodicity of forward times of the renewal process in a block-based inspection model using the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 100(C), pages 1-7.
    2. Lee, S. D. & Rung, J. M., 2000. "Production lot sizing in failure prone two-stage serial systems," European Journal of Operational Research, Elsevier, vol. 123(1), pages 42-60, May.
    3. Fu, Bo & Wang, Wenbin & Shi, Xin, 2012. "A risk analysis based on a two-stage delayed diagnosis regression model with application to chronic disease progression," European Journal of Operational Research, Elsevier, vol. 218(3), pages 847-855.
    4. Wang, Wenbin, 2012. "An overview of the recent advances in delay-time-based maintenance modelling," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 165-178.
    5. Giri, B. C. & Dohi, T., 2004. "Optimal lot sizing for an unreliable production system based on net present value approach," International Journal of Production Economics, Elsevier, vol. 92(2), pages 157-167, November.
    6. Chakraborty, Tulika & Giri, B.C. & Chaudhuri, K.S., 2008. "Production lot sizing with process deterioration and machine breakdown," European Journal of Operational Research, Elsevier, vol. 185(2), pages 606-618, March.
    7. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    8. Giri, B. C. & Yun, W. Y., 2005. "Optimal lot sizing for an unreliable production system under partial backlogging and at most two failures in a production cycle," International Journal of Production Economics, Elsevier, vol. 95(2), pages 229-243, February.
    9. Chakraborty, Tulika & Giri, B.C. & Chaudhuri, K.S., 2009. "Production lot sizing with process deterioration and machine breakdown under inspection schedule," Omega, Elsevier, vol. 37(2), pages 257-271, April.
    10. Ben-Daya, M. & Darwish, M. & Ertogral, K., 2008. "The joint economic lot sizing problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 185(2), pages 726-742, March.
    11. Wang, Wenbin & Banjevic, Dragan & Pecht, Michael, 2010. "A multi-component and multi-failure mode inspection model based on the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 912-920.
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    7. Aghezzaf, El-Houssaine & Khatab, Abdelhakim & Tam, Phuoc Le, 2016. "Optimizing production and imperfect preventive maintenance planning׳s integration in failure-prone manufacturing systems," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 190-198.
    8. Durdu Hakan Utku, 2023. "The Evaluation and Improvement of the Production Processes of an Automotive Industry Company via Simulation and Optimization," Sustainability, MDPI, vol. 15(3), pages 1-17, January.
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    11. Xiufang Zhang & Tangbin Xia & Ershun Pan & Yuqing Li, 2022. "Integrated optimization on production scheduling and imperfect preventive maintenance considering multi-degradation and learning-forgetting effects," Flexible Services and Manufacturing Journal, Springer, vol. 34(2), pages 451-482, June.
    12. Ji, Ziguang & Chen, Yi & Ma, Xiaobing & Cai, Yikun & Yang, Li, 2024. "Hierarchical condition-based maintenance planning for corrosion process considering natural environmental impact," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
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    14. Fakher, Hossein Beheshti & Nourelfath, Mustapha & Gendreau, Michel, 2018. "Integrating production, maintenance and quality: A multi-period multi-product profit-maximization model," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 191-201.
    15. Biswajit Sarkar & Bikash Koli Dey & Mitali Sarkar & Ali AlArjani, 2021. "A Sustainable Online-to-Offline (O2O) Retailing Strategy for a Supply Chain Management under Controllable Lead Time and Variable Demand," Sustainability, MDPI, vol. 13(4), pages 1-26, February.
    16. 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.
    17. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    18. 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.
    19. Feng, Hanxin & Xi, Lifeng & Xiao, Lei & Xia, Tangbin & Pan, Ershun, 2018. "Imperfect preventive maintenance optimization for flexible flowshop manufacturing cells considering sequence-dependent group scheduling," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 218-229.
    20. Ba, Kader & Dellagi, Sofiene & Rezg, Nidhal & Erray, Walid, 2016. "Joint optimization of preventive maintenance and spare parts inventory for an optimal production plan with consideration of CO2 emission," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 172-186.
    21. Zhang, Xiaohong & Liao, Haitao & Zeng, Jianchao & Shi, Guannan & Zhao, Bing, 2021. "Optimal Condition-based Opportunistic Maintenance and Spare Parts Provisioning for a Two-unit System using a State Space Partitioning Approach," Reliability Engineering and System Safety, Elsevier, vol. 209(C).

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