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

Serkan Eryilmaz () and G. Yazgi Tutuncu
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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

Asia-Pacific Journal of Operational Research (APJOR), 2009, vol. 26, issue 06, 805-816

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.

Keywords: Approximation of reliability; consecutivek-out-of-nsystems; Markov-dependent components; system reliability (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S0217595909002481

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