Premium
Lifetime of Multistate k ‐out‐of‐ n Systems
Author(s) -
Eryilmaz Serkan
Publication year - 2014
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1529
Subject(s) - reliability (semiconductor) , extension (predicate logic) , binary number , markov process , markov chain , focus (optics) , computer science , algorithm , order (exchange) , markov model , process (computing) , reliability engineering , mathematics , discrete mathematics , statistics , engineering , arithmetic , thermodynamics , physics , power (physics) , finance , optics , economics , programming language , operating system
A multistate k ‐out‐of‐ n system model is an extension of binary k ‐out‐of‐ n system model by allowing multiple performance levels for the system and its components. Various definitions of multistate k ‐out‐of‐ n system model have been proposed in the literature. Previous studies on these systems mostly focus on reliability evaluation algorithms. The present paper investigates the lifetimes of multistate systems. In particular, the lifetimes of two different multistate k ‐out‐of‐ n system models are represented in terms of order statistics, and bounds and approximations are presented using these representations. The results are illustrated for a multistate system whose components' degradation occurs according to a Markov process. Copyright © 2013 John Wiley & Sons, Ltd.