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RELIABILITY EVALUATION OF LINEAR CONSECUTIVE-WEIGHTED-k-OUT-OF-n:F SYSTEM

Author

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  • SERKAN ERYILMAZ

    (Department of Mathematics, Izmir University of Economics, Izmir, Turkey)

  • G. YAZGI TUTUNCU

    (IESEG School of Management, Lille Catholic University, 3 Rue Digue, Lille, France)

Abstract

Reliability evaluation has a vital importance at all stages of processing and controlling modern engineering systems. In most of these modern systems the components have different contributions to the system, which are defined as weights. Among the other weighted systems, a linear consecutive-weighted-k-out-of-n:F system consists ofncomponents, where each component has its own weight and reliability. The system fails if and only if the total weight of the failed consecutive components is at leastk. The aim of this paper is to study the reliability of linear consecutive-weighted-k-out-of-n:F system consisting of independent & nonidentical and nonhomogeneous Markov dependent components. Exact formulae are provided for computing the reliability for above mentioned cases. Approximation formulae for the reliability are also presented.

Suggested Citation

  • Serkan Eryilmaz & G. Yazgi Tutuncu, 2009. "RELIABILITY EVALUATION OF LINEAR CONSECUTIVE-WEIGHTED-k-OUT-OF-n:F SYSTEM," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 805-816.
    • Handle: RePEc:wsi:apjorx:v:26:y:2009:i:06:n:s0217595909002481
    DOI: 10.1142/S0217595909002481
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    Cited by:

    1. Xiaoyan Zhu & Mahmoud Boushaba & Abdelmoumene Boulahia & Xian Zhao, 2019. "A linear m-consecutive-k-out-of-n system with sparse d of non-homogeneous Markov-dependent components," Journal of Risk and Reliability, , vol. 233(3), pages 328-337, June.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Connectivity evaluation and optimal service centers allocation in repairable linear consecutively connected systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 187-193.
    3. Serkan Eryilmaz & Kadir Sarikaya, 2014. "Modeling and analysis of weighted-k-out-of-n: G system consisting of two different types of components," Journal of Risk and Reliability, , vol. 228(3), pages 265-271, June.

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