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Stochastic demand patterns for Markov service facilities with neutral and active periods

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  • Csenki, Attila

Abstract

In an earlier paper, a closed form expression was obtained for the joint interval reliability of a Markov system with a partitioned state space S=U∪D, i.e. for the probability that the system will reside in the set of up states U throughout the union of some specific disjoint time intervals Iℓ=[θℓ,θℓ+ζℓ],ℓ=1,…,k. The deterministic time intervals Iℓ formed a demand pattern specifying the desired active periods.

Suggested Citation

  • Csenki, Attila, 2009. "Stochastic demand patterns for Markov service facilities with neutral and active periods," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 382-393.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:2:p:382-393
    DOI: 10.1016/j.ress.2008.03.030
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    References listed on IDEAS

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    1. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2006. "A deteriorating two-system with two repair modes and sojourn times phase-type distributed," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 1-9.
    2. Diponegoro, Ahmad & Sarker, Bhaba R., 2002. "Determining manufacturing batch sizes for a lumpy delivery system with trend demand," International Journal of Production Economics, Elsevier, vol. 77(2), pages 131-143, May.
    3. Matheus, Peter & Gelders, Ludo, 2000. "The (R, Q) inventory policy subject to a compound Poisson demand pattern," International Journal of Production Economics, Elsevier, vol. 68(3), pages 307-317, December.
    4. Csenki, Attila, 2007. "Joint interval reliability for Markov systems with an application in transmission line reliability," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 685-696.
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    Cited by:

    1. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2013. "A performance measure for Markov system with stochastic supply patterns and stochastic demand patterns," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 294-299.

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