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Optimal maintenance of systems with Markovian mission and deterioration

  • Çekyay, Bora
  • Özekici, Süleyman
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    We consider the maintenance of a mission-based system that is designed to perform missions consisting of a random sequence of phases or stages with random durations. A finite state Markov process describes the mission process. The age or deterioration process of the system is described by another finite state Markov process whose generator depends on the phases of the mission. We discuss optimal repair and optimal replacement problems, and characterize the optimal policies under some monotonicity assumptions. We also provide numerical illustrations to demonstrate the structure of the optimal policies.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711011313
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 219 (2012)
    Issue (Month): 1 ()
    Pages: 123-133

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    Handle: RePEc:eee:ejores:v:219:y:2012:i:1:p:123-133
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    2. Peter Kolesar, 1966. "Minimum Cost Replacement Under Markovian Deterioration," Management Science, INFORMS, vol. 12(9), pages 694-706, May.
    3. Ozekici, Suleyman, 1995. "Optimal maintenance policies in random environments," European Journal of Operational Research, Elsevier, vol. 82(2), pages 283-294, April.
    4. Jardine, A. K. S. & Buzacott, J. A., 1985. "Equipment reliability and maintenance," European Journal of Operational Research, Elsevier, vol. 19(3), pages 285-296, March.
    5. 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.
    6. Çekyay, B. & Özekici, S., 2010. "Mean time to failure and availability of semi-Markov missions with maximal repair," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1442-1454, December.
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