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Integrating noncyclical preventive maintenance scheduling and production planning for a single machine

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  • Fitouhi, Mohamed-Chahir
  • Nourelfath, Mustapha

Abstract

This paper deals with the problem of integrating noncyclical preventive maintenance and tactical production planning for a single machine. We are given a set of products that must be produced in lots during a specified finite planning horizon. The maintenance policy suggests possible preventive replacements at the beginning of each production planning period, and minimal repair at machine failure. The proposed model determines simultaneously the optimal production plan and the instants of preventive maintenance actions. The objective is to 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. The problem is solved by comparing the results of several multi-product capacitated lot-sizing problems. The value of the integration and that of using noncyclical preventive maintenance when the demand varies from one period to another are illustrated through a numerical example and validated by a design of experiment. The later has shown that the integration of maintenance and production planning can reduce the total maintenance and production cost and the removal of periodicity constraint is directly affected by the demand fluctuation and can also reduce the total maintenance and production cost.

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  • Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha, 2012. "Integrating noncyclical preventive maintenance scheduling and production planning for a single machine," International Journal of Production Economics, Elsevier, vol. 136(2), pages 344-351.
    • Handle: RePEc:eee:proeco:v:136:y:2012:i:2:p:344-351
    DOI: 10.1016/j.ijpe.2011.12.021
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    References listed on IDEAS

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    1. Budai-Balke, G. & Dekker, R. & Nicolai, R.P., 2006. "A review of planning models for maintenance and production," Econometric Institute Research Papers EI 2006-44, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. 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.
    3. Grigoriev, Alexander & van de Klundert, Joris & Spieksma, Frits C.R., 2006. "Modeling and solving the periodic maintenance problem," European Journal of Operational Research, Elsevier, vol. 172(3), pages 783-797, August.
    4. Jin, Xiaoning & Li, Lin & Ni, Jun, 2009. "Option model for joint production and preventive maintenance system," International Journal of Production Economics, Elsevier, vol. 119(2), pages 347-353, June.
    5. Song, Dong-Ping, 2009. "Production and preventive maintenance control in a stochastic manufacturing system," International Journal of Production Economics, Elsevier, vol. 119(1), pages 101-111, May.
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    Cited by:

    1. Sun, Lin-Hui & Sun, Lin-Yan & Wang, Ming-Zheng & Wang, Ji-Bo, 2012. "Flow shop makespan minimization scheduling with deteriorating jobs under dominating machines," International Journal of Production Economics, Elsevier, vol. 138(1), pages 195-200.
    2. Tambe, Pravin P. & Kulkarni, Makarand S., 2022. "A reliability based integrated model of maintenance planning with quality control and production decision for improving operational performance," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    3. Sinisterra, Wilfrido Quiñones & Cavalcante, Cristiano Alexandre Virgínio, 2020. "An integrated model of production scheduling and inspection planning for resumable jobs," International Journal of Production Economics, Elsevier, vol. 227(C).
    4. Jiawen Hu & Zuhua Jiang & Hong Wang, 2017. "Joint Optimization of Production Plan and Preventive Maintenance Schedule by Stackelberg Game," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-28, August.
    5. Xiao, Lei & Song, Sanling & Chen, Xiaohui & Coit, David W., 2016. "Joint optimization of production scheduling and machine group preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 146(C), pages 68-78.
    6. Fahimeh Shamsaei & Mathieu Vyve, 2017. "Solving integrated production and condition-based maintenance planning problems by MIP modeling," Flexible Services and Manufacturing Journal, Springer, vol. 29(2), pages 184-202, June.
    7. Gabi Hanukov & Shraga Shoval, 2023. "A Model for a Vacation Queuing Policy Considering Server’s Deterioration and Recovery," Mathematics, MDPI, vol. 11(12), pages 1-21, June.
    8. Li Li & Yong Wang & Kuo-Yi Lin, 2021. "Preventive maintenance scheduling optimization based on opportunistic production-maintenance synchronization," Journal of Intelligent Manufacturing, Springer, vol. 32(2), pages 545-558, February.
    9. Qinming Liu & Ming Dong & Wenyuan Lv & Chunming Ye, 2019. "Manufacturing system maintenance based on dynamic programming model with prognostics information," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 1155-1173, March.
    10. Gao, Yicong & Feng, Yixiong & Zhang, Zixian & Tan, Jianrong, 2015. "An optimal dynamic interval preventive maintenance scheduling for series systems," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 19-30.
    11. Liu, Yu & Zhang, Qin & Ouyang, Zhiyuan & Huang, Hong-Zhong, 2021. "Integrated production planning and preventive maintenance scheduling for synchronized parallel machines," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    12. Zhang, Ning & Qi, Faqun & Zhang, Chengjie & Zhou, Hongming, 2022. "Joint optimization of condition-based maintenance policy and buffer capacity for a two-unit series system," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    13. 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.
    14. 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.
    15. Asmaa Khoudi & Ali Berrichi, 2020. "Minimize total tardiness and machine unavailability on single machine scheduling problem: bi-objective branch and bound algorithm," Operational Research, Springer, vol. 20(3), pages 1763-1789, September.
    16. Mohammed Haoues & Mohammed Dahane & Nadia Kenza Mouss, 2019. "Outsourcing optimization in two-echelon supply chain network under integrated production-maintenance constraints," Journal of Intelligent Manufacturing, Springer, vol. 30(2), pages 701-725, February.

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