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Robust condition‐based production and maintenance planning for degradation management

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  • Qiuzhuang Sun
  • Piao Chen
  • Xin Wang
  • Zhi‐Sheng Ye

Abstract

We study the robust production and maintenance control for a production system subject to degradation. A periodic maintenance scheme is considered, and the system production rate can be dynamically adjusted before maintenance, serving as a proactive way of degradation management. Optimal control of the degradation rate aims to strike a balance between the risk of failure and the production profit. We first consider the scenario in which the degradation rate increases linearly with the production rate. Different from the existing literature that posits a parametric stochastic degradation process, we suppose that the degradation increment during a period lies in an uncertainty set, and our objective is to minimize the maintenance cost in the worst case. The resulting model is a robust mixed‐integer linear program. We derive its robust counterpart and establish structural properties of the optimal production plan. These properties are then used for real‐time condition‐based control of the production rate through reoptimization. The model is further generalized to the nonlinear production–degradation relation. Based on a real production–degradation dataset from an extruder system, we conduct comprehensive numerical experiments to illustrate the application of the model. Numerical results show that our model significantly outperforms existing methods in terms of the mean and variance of cost rate when degradation model misspecification is presented.

Suggested Citation

  • Qiuzhuang Sun & Piao Chen & Xin Wang & Zhi‐Sheng Ye, 2023. "Robust condition‐based production and maintenance planning for degradation management," Production and Operations Management, Production and Operations Management Society, vol. 32(12), pages 3951-3967, December.
  • Handle: RePEc:bla:popmgt:v:32:y:2023:i:12:p:3951-3967
    DOI: 10.1111/poms.14071
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    1. Ali Dogramaci & Nelson M. Fraiman, 2004. "Replacement Decisions with Maintenance Under Uncertainty: An Imbedded Optimal Control Model," Operations Research, INFORMS, vol. 52(5), pages 785-794, October.
    2. Alain Bensoussan & Vijay Mookerjee & Wei T. Yue, 2020. "Managing Information System Security Under Continuous and Abrupt Deterioration," Production and Operations Management, Production and Operations Management Society, vol. 29(8), pages 1894-1917, August.
    3. Hao Zhang & Weihua Zhang, 2023. "Analytical Solution to a Partially Observable Machine Maintenance Problem with Obvious Failures," Management Science, INFORMS, vol. 69(7), pages 3993-4015, July.
    4. Maciej Drozdowski & Florian Jaehn & Radosław Paszkowski, 2017. "Scheduling Position-Dependent Maintenance Operations," Operations Research, INFORMS, vol. 65(6), pages 1657-1677, December.
    5. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    6. Long He & Zhenyu Hu & Meilin Zhang, 2020. "Robust Repositioning for Vehicle Sharing," Manufacturing & Service Operations Management, INFORMS, vol. 22(2), pages 241-256, March.
    7. Chaithanya Bandi & Dimitris Bertsimas & Nataly Youssef, 2015. "Robust Queueing Theory," Operations Research, INFORMS, vol. 63(3), pages 676-700, June.
    8. Wyean Chan & Ger Koole & Pierre L'Ecuyer, 2014. "Dynamic Call Center Routing Policies Using Call Waiting and Agent Idle Times," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 544-560, October.
    9. Hamed Mamani & Shima Nassiri & Michael R. Wagner, 2017. "Closed-Form Solutions for Robust Inventory Management," Management Science, INFORMS, vol. 63(5), pages 1625-1643, May.
    10. Anahita Khojandi & Lisa M. Maillart & Oleg A. Prokopyev & Mark S. Roberts & Samir F. Saba, 2018. "Dynamic Abandon/Extract Decisions for Failed Cardiac Leads," Management Science, INFORMS, vol. 64(2), pages 633-651, February.
    11. Qiuzhuang Sun & Zhi-Sheng Ye & Xiaoyan Zhu, 2020. "Managing component degradation in series systems for balancing degradation through reallocation and maintenance," IISE Transactions, Taylor & Francis Journals, vol. 52(7), pages 797-810, July.
    12. Dimitris Bertsimas & Aurélie Thiele, 2006. "A Robust Optimization Approach to Inventory Theory," Operations Research, INFORMS, vol. 54(1), pages 150-168, February.
    13. Andrew E. B. Lim & J. George Shanthikumar & Gah-Yi Vahn, 2012. "Robust Portfolio Choice with Learning in the Framework of Regret: Single-Period Case," Management Science, INFORMS, vol. 58(9), pages 1732-1746, September.
    14. Zhicheng Zhu & Yisha Xiang & Bo Zeng, 2021. "Multicomponent Maintenance Optimization: A Stochastic Programming Approach," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 898-914, July.
    15. Alaa H. Elwany & Nagi Z. Gebraeel & Lisa M. Maillart, 2011. "Structured Replacement Policies for Components with Complex Degradation Processes and Dedicated Sensors," Operations Research, INFORMS, vol. 59(3), pages 684-695, June.
    16. Jiankun Sun & Jan A. Van Mieghem, 2019. "Robust Dual Sourcing Inventory Management: Optimality of Capped Dual Index Policies and Smoothing," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 912-931, October.
    17. Panos Kouvelis & Hirofumi Matsuo & Yixuan Xiao & Quan Yuan, 2023. "Long‐term service agreement in electricity supply chain with renewable energy penetration," Production and Operations Management, Production and Operations Management Society, vol. 32(6), pages 1830-1845, June.
    18. Peter L. Jackson & John A. Muckstadt & Yuexing Li, 2019. "Multiperiod Stock Allocation via Robust Optimization," Management Science, INFORMS, vol. 65(2), pages 794-818, February.
    19. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    20. Savaş Dayanik & Ülkü Gürler, 2002. "An Adaptive Bayesian Replacement Policy with Minimal Repair," Operations Research, INFORMS, vol. 50(3), pages 552-558, June.
    21. Joachim Arts & Rob Basten & Geert-Jan Van Houtum, 2016. "Repairable Stocking and Expediting in a Fluctuating Demand Environment: Optimal Policy and Heuristics," Operations Research, INFORMS, vol. 64(6), pages 1285-1301, December.
    22. Michiel A. J. uit het Broek & Ruud H. Teunter & Bram de Jonge & Jasper Veldman & Nicky D. Van Foreest, 2020. "Condition-Based Production Planning: Adjusting Production Rates to Balance Output and Failure Risk," Manufacturing & Service Operations Management, INFORMS, vol. 22(4), pages 792-811, July.
    23. Shuming Wang & Yan-Fu Li & Tong Jia, 2020. "Distributionally Robust Design for Redundancy Allocation," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 620-640, July.
    24. Ho-Yin Mak & Ying Rong & Jiawei Zhang, 2015. "Appointment Scheduling with Limited Distributional Information," Management Science, INFORMS, vol. 61(2), pages 316-334, February.
    25. Taozeng Zhu & Jingui Xie & Melvyn Sim, 2022. "Joint Estimation and Robustness Optimization," Management Science, INFORMS, vol. 68(3), pages 1659-1677, March.
    26. Abderrahmane Abbou & Viliam Makis, 2019. "Group Maintenance: A Restless Bandits Approach," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 719-731, October.
    27. Michael Jong Kim, 2016. "Robust Control of Partially Observable Failing Systems," Operations Research, INFORMS, vol. 64(4), pages 999-1014, August.
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