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Integrated preventive maintenance and production decisions for imperfect processes

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  • Nourelfath, Mustapha
  • Nahas, Nabil
  • Ben-Daya, Mohamed

Abstract

This paper integrates production, maintenance, and quality for an imperfect process in a multi-period multi-product capacitated lot-sizing context. The production system is modeled as an imperfect machine, whose the status is considered to be either in-control or out-of-control. When the machine is out of control, it produces a fraction of nonconforming items. During each period, this machine is inspected and imperfect preventive maintenance activities are simultaneously performed to reduce its age, proportional to the preventive maintenance level. The objective is to minimize the total cost, while satisfying the demand for all products. Our optimization model allows for a joint selection of the optimal values of production plan, and the maintenance policy, while taking into account quality related costs. A solution algorithm is developed and illustrative numerical examples are presented. It is found that the increase in PM level leads to reductions in quality control costs. Furthermore, if the cost of performing PM is high to the point where it is not compensated for by reductions in the quality related costs, then performing PM is not justifiable. Finally, using non-periodic preventive maintenance with the possibility of different preventive maintenance levels may result in an improvement of the total cost.

Suggested Citation

  • Nourelfath, Mustapha & Nahas, Nabil & Ben-Daya, Mohamed, 2016. "Integrated preventive maintenance and production decisions for imperfect processes," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 21-31.
    • Handle: RePEc:eee:reensy:v:148:y:2016:i:c:p:21-31
    DOI: 10.1016/j.ress.2015.11.015
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    1. WOLSEY, Laurence A., 2002. "Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation," LIDAM Reprints CORE 1605, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Ouzineb, Mohamed & Nourelfath, Mustapha & Gendreau, Michel, 2008. "Tabu search for the redundancy allocation problem of homogenous series–parallel multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1257-1272.
    3. WOLSEY, Laurence, 2002. "Solving multi-item lot-sizing problems with an MIP solver using classification and reformulation," LIDAM Discussion Papers CORE 2002012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    5. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    6. Laurence A. Wolsey, 2002. "Solving Multi-Item Lot-Sizing Problems with an MIP Solver Using Classification and Reformulation," Management Science, INFORMS, vol. 48(12), pages 1587-1602, December.
    7. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, September.
    8. Cho, Danny I. & Parlar, Mahmut, 1991. "A survey of maintenance models for multi-unit systems," European Journal of Operational Research, Elsevier, vol. 51(1), pages 1-23, March.
    9. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    10. Ben-Daya, Mohamed, 2002. "The economic production lot-sizing problem with imperfect production processes and imperfect maintenance," International Journal of Production Economics, Elsevier, vol. 76(3), pages 257-264, April.
    11. Aghezzaf, E.H. & Jamali, M.A. & Ait-Kadi, D., 2007. "An integrated production and preventive maintenance planning model," European Journal of Operational Research, Elsevier, vol. 181(2), pages 679-685, September.
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    Cited by:

    1. Cheng, Guo Qing & Zhou, Bing Hai & Li, Ling, 2018. "Integrated production, quality control and condition-based maintenance for imperfect production systems," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 251-264.
    2. Wei, Shuaichong & Nourelfath, Mustapha & Nahas, Nabil, 2023. "Analysis of a production line subject to degradation and preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    3. Ahmadi, Reza & Fouladirad, Mitra, 2017. "Maintenance planning for a deteriorating production process," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 108-118.
    4. Gouiaa-Mtibaa, A. & Dellagi, S. & Achour, Z. & Erray, W., 2018. "Integrated Maintenance-Quality policy with rework process under improved imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 1-11.
    5. D. E. Ighravwe & S. A. Oke, 2017. "A manufacturing system energy-efficient optimisation model for maintenance-production workforce size determination using integrated fuzzy logic and quality function deployment approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(4), pages 683-703, December.
    6. Wang, Lin & Lu, Zhiqiang & Ren, Yifei, 2020. "Joint production control and maintenance policy for a serial system with quality deterioration and stochastic demand," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    7. Boumallessa, Zeineb & Chouikhi, Houssam & Elleuch, Mounir & Bentaher, Hatem, 2023. "Modeling and optimizing the maintenance schedule using dynamic quality and machine condition monitors in an unreliable single production system," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    8. 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.
    9. Yihai He & Changchao Gu & Zhaoxiang Chen & Xiao Han, 2017. "Integrated predictive maintenance strategy for manufacturing systems by combining quality control and mission reliability analysis," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5841-5862, October.
    10. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    11. Sun, Mingyao & Ng, Chi To & Wu, Feng & Cheng, T.C.E., 2022. "Optimization of after-sales services with spare parts consumption and repairman travel," International Journal of Production Economics, Elsevier, vol. 244(C).
    12. 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.
    13. Azimpoor, Samareh & Taghipour, Sharareh, 2021. "Joint inspection and product quality optimization for a system with delayed failure," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    14. Cheng, Guoqing & Li, Ling, 2020. "Joint optimization of production, quality control and maintenance for serial-parallel multistage production systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    15. Sun, Mingyao & Ng, Chi To & Yang, Liu & Zhang, Tianhua, 2024. "Optimal after-sales service offering strategy: Additive manufacturing, traditional manufacturing, or hybrid?," International Journal of Production Economics, Elsevier, vol. 268(C).

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