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Integrating production, inventory and maintenance planning for a parallel system with dependent components

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  • Nourelfath, Mustapha
  • Châtelet, Eric

Abstract

This paper deals with the problem of integrating preventive maintenance and tactical production planning, for a production system composed of a set of parallel components, in the presence of economic dependence and common cause failures. Economic dependence means that performing maintenance on several components jointly costs less money and time than on each component separately. Common cause failures correspond to events that lead to simultaneous failure of multiple components due to a common cause. We use the β-factor model to represent common cause failures. This means that we assume two possible causes for system failure: the independent failure of single components, and the simultaneous common cause failure of all components. The suggested preventive maintenance is a T-age group maintenance policy in which components are cyclically renewed all together. Furthermore, between the periodic group replacements, minimal repairs are performed on failed components. We are given a set of products that must be produced by this parallel system in lots during a specified finite planning horizon. The objective is to determine an integrated lot-sizing and preventive maintenance strategy of the system that will minimize the sum of preventive and corrective maintenance costs, setup costs, holding costs, backorder costs and production costs, while satisfying the demand for all products over the entire horizon. Numerical examples are used to illustrate the proposed approach.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:101:y:2012:i:c:p:59-66
    DOI: 10.1016/j.ress.2012.02.001
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    Cited by:

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    2. Dao, Cuong D. & Zuo, Ming J. & Pandey, Mayank, 2014. "Selective maintenance for multi-state series–parallel systems under economic dependence," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 240-249.
    3. Azizi, Fariba & Salari, Nooshin, 2023. "A novel condition-based maintenance framework for parallel manufacturing systems based on bivariate birth/birth–death processes," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    4. Xuejuan Liu & Wenbin Wang & Rui Peng & Fei Zhao, 2015. "A delay-time-based inspection model for parallel systems," Journal of Risk and Reliability, , vol. 229(6), pages 556-567, December.
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    6. Ali Salmasnia & Ali Talesh-Kazemi, 2022. "Integrating inventory planning, pricing and maintenance for perishable products in a two-component parallel manufacturing system with common cause failures," Operational Research, Springer, vol. 22(2), pages 1235-1265, April.
    7. Bjarnason, Erik T.S. & Taghipour, Sharareh & Banjevic, Dragan, 2014. "Joint optimal inspection and inventory for a k-out-of-n system," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 203-215.
    8. Abdelhamid Boudjelida, 2019. "On the robustness of joint production and maintenance scheduling in presence of uncertainties," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1515-1530, April.
    9. 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.
    10. 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.
    11. Esmaeil MEHDIZADEH & Amir Aydin Atashi ABKENAR, 2014. "Harmony Search Algorithm For Solvingâ Two Aggregate Production Planning Models With Breakdowns And Maintenance," Proceedings of the INTERNATIONAL MANAGEMENT CONFERENCE, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 8(1), pages 306-320, November.
    12. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    13. Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha, 2014. "Integrating noncyclical preventive maintenance scheduling and production planning for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 175-186.
    14. Tazi, Nacef & Châtelet, Eric & Bouzidi, Youcef, 2018. "How combined performance and propagation of failure dependencies affect the reliability of a MSS," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 531-541.
    15. Zhou, Kai-Li & Cheng, De-Jun & Zhang, Han-Bing & Hu, Zhong-tai & Zhang, Chun-Yan, 2023. "Deep learning-based intelligent multilevel predictive maintenance framework considering comprehensive cost," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    16. 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.
    17. Ali Salmasnia & Ali Talesh-Kazemi & Mohammad Reza Maleki, 2022. "Joint optimization of inventory planning, maintenance policy and pricing for perishable complementary products by considering the product freshness and technology level," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 49(4), pages 713-746, December.

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