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On the Coordinated Random Group Replacement Policy in Multivariate Repairable Systems

Author

Listed:
  • Haijun Li

    (Department of Mathematics, Washington State University, Pullman, Washington 99164)

  • Susan H. Xu

    (Department of Management Science and Information Systems, Smeal College of Business Administration, Pennsylvania State University, University Park, Pennsylvania 16802)

Abstract

We study a system with multiple components and preventive maintenance. At predetermined times, some of the components are replaced with new ones. We permit the set of components that are chosen for replacement to be random and study the effect of dependency in this selection. For example, we show that it is often better to have simultaneous replacements of components, rather than replacing each component independently of the others. We also show that preventive maintenance only makes sense for components whose lifetimes are new-better-than-used (NBU).

Suggested Citation

  • Haijun Li & Susan H. Xu, 2004. "On the Coordinated Random Group Replacement Policy in Multivariate Repairable Systems," Operations Research, INFORMS, vol. 52(3), pages 464-477, June.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:3:p:464-477
    DOI: 10.1287/opre.1030.0100
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    References listed on IDEAS

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    1. Masaaki Kijima & Toshio Nakagawa, 1991. "A cumulative damage shock model with imperfect preventive maintenance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 145-156, April.
    2. Lindqvist, Bo Henry, 1988. "Association of probability measures on partially ordered spaces," Journal of Multivariate Analysis, Elsevier, vol. 26(2), pages 111-132, August.
    3. Moshe Shaked & J. George Shanthikumar, 1986. "Multivariate Imperfect Repair," Operations Research, INFORMS, vol. 34(3), pages 437-448, June.
    4. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
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    Cited by:

    1. Liu, Gia-Shie, 2011. "Dynamic group instantaneous replacement policies for unreliable Markovian service systems," International Journal of Production Economics, Elsevier, vol. 130(2), pages 203-217, April.
    2. Gia-Shie Liu, 2019. "A Group Replacement Decision Support System Based on Internet of Things," Mathematics, MDPI, vol. 7(9), pages 1-23, September.
    3. Abderrahmane Abbou & Viliam Makis, 2019. "Group Maintenance: A Restless Bandits Approach," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 719-731, October.
    4. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.

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