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Joint optimization of ordering and maintenance with condition monitoring data

Author

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  • Ramin Moghaddass

    (University of Miami)

  • Şeyda Ertekin

    (Middle East Technical University
    Massachusetts Institute of Technology)

Abstract

We study a single-unit deteriorating system under condition monitoring for which collected signals are only stochastically related to the actual level of degradation. Failure replacement is costlier than preventive replacement and there is a delay (lead time) between the initiation of the maintenance setup and the actual maintenance, which is closely related to the process of spare parts inventory and/or maintenance setup activities. We develop a dynamic control policy with a two-dimensional decision space, referred to as a warning-replacement policy, which jointly optimizes the replacement time and replacement setup initiation point (maintenance ordering time) using online condition monitoring data. The optimization criterion is the long-run expected average cost per unit of operation time. We develop the optimal structure of such a dynamic policy using a partially observable semi-Markov decision process and provide some important results with respect to optimality and monotone properties of the optimal policy. We also discuss how to find the optimal values of observation/inspection interval and lead time using historical condition monitoring data. Illustrative numerical examples are provided to show thatour joint policy outperforms conventional suboptimal policies commonly used in theliterature.

Suggested Citation

  • Ramin Moghaddass & Şeyda Ertekin, 2018. "Joint optimization of ordering and maintenance with condition monitoring data," Annals of Operations Research, Springer, vol. 263(1), pages 271-310, April.
  • Handle: RePEc:spr:annopr:v:263:y:2018:i:1:d:10.1007_s10479-017-2745-3
    DOI: 10.1007/s10479-017-2745-3
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    References listed on IDEAS

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    1. Xiang Wu & Sarah M. Ryan, 2014. "Joint Optimization of Asset and Inventory Management in a Product–Service System," The Engineering Economist, Taylor & Francis Journals, vol. 59(2), pages 91-115, April.
    2. Rosmaini Ahmad & Shahrul Kamaruddin, 2012. "A review of condition-based maintenance decision-making," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(5), pages 519-541.
    3. Yeh, Ruey Huei, 1997. "Optimal inspection and replacement policies for multi-state deteriorating systems," European Journal of Operational Research, Elsevier, vol. 96(2), pages 248-259, January.
    4. C. Teresa Lam & R. H. Yeh, 1994. "Optimal replacement policies for multistate deteriorating systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 303-315, April.
    5. Zhaoqiang Wang & Changhua Hu & Wenbin Wang & Xiangyu Kong & Wei Zhang, 2015. "A prognostics-based spare part ordering and system replacement policy for a deteriorating system subjected to a random lead time," International Journal of Production Research, Taylor & Francis Journals, vol. 53(15), pages 4511-4527, August.
    6. Donald Rosenfield, 1976. "Markovian Deterioration with Uncertain Information," Operations Research, INFORMS, vol. 24(1), pages 141-155, February.
    7. Godoy, David R. & Pascual, Rodrigo & Knights, Peter, 2013. "Critical spare parts ordering decisions using conditional reliability and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 199-206.
    8. Dong, Ming & He, David, 2007. "Hidden semi-Markov model-based methodology for multi-sensor equipment health diagnosis and prognosis," European Journal of Operational Research, Elsevier, vol. 178(3), pages 858-878, May.
    9. Michael Jong Kim & Viliam Makis, 2013. "Joint Optimization of Sampling and Control of Partially Observable Failing Systems," Operations Research, INFORMS, vol. 61(3), pages 777-790, June.
    10. Wang, Ling & Chu, Jian & Mao, Weijie, 2009. "A condition-based replacement and spare provisioning policy for deteriorating systems with uncertain deterioration to failure," European Journal of Operational Research, Elsevier, vol. 194(1), pages 184-205, April.
    11. Panagiotidou, Sofia, 2014. "Joint optimization of spare parts ordering and maintenance policies for multiple identical items subject to silent failures," European Journal of Operational Research, Elsevier, vol. 235(1), pages 300-314.
    12. Donald Rosenfield, 1976. "Markovian Deterioration With Uncertain Information — A More General Model," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 389-405, September.
    13. Van Horenbeek, Adriaan & Buré, Jasmine & Cattrysse, Dirk & Pintelon, Liliane & Vansteenwegen, Pieter, 2013. "Joint maintenance and inventory optimization systems: A review," International Journal of Production Economics, Elsevier, vol. 143(2), pages 499-508.
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    Cited by:

    1. Reza Ahmadi, 2024. "Reliability and maintenance modeling for a production system by means of point process observations," Annals of Operations Research, Springer, vol. 340(1), pages 3-26, September.

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