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  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    A new look at dynamic behavior of binary coherent system from a state-level perspective
    (Springer, 2014) Eryilmaz, Serkan
    In this paper we study lifetime properties of binary coherent systems from a state-level perspective. We define and study a system whose performance levels are determined by its total number of working components and structure. That is, the more working components the better performance level for the system. This enables us to make a more detailed analysis of a binary system. We obtain the distributions of the time that is spent by the system in a specific state subset and a specific state. Our analysis is based on the use of system signature. We also define an optimization problem concerned with the determination of the number of warm standby components.
  • Article
    Citation - WoS: 44
    Citation - Scopus: 53
    On Reliability Analysis of a k-out-of-n< System With Components Having Random Weights
    (Elsevier Sci Ltd, 2013) Eryilmaz, Serkan
    Consider a system consisting of n components each with its own positive integer-valued random weight (capacity). The system is assumed to have a performance level above c if there are at least k working components, and the total weight of all working components is above c. We study the reliability properties of such a system. A recursive formula is obtained for computing the system state probabilities. We present a Monte-Carlo simulation algorithm to observe the time spent by the system in state c or above. The algorithm is based on the use of ordered lifetimes of components. We illustrate the results with numerical computations. (C) 2012 Elsevier Ltd. All rights reserved.