Premium
Generalizing the survival signature to unrepairable homogeneous multi‐state systems
Author(s) -
Eryilmaz Serkan,
Tuncel Altan
Publication year - 2016
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.21722
Subject(s) - signature (topology) , generalization , homogeneous , computer science , state (computer science) , representation (politics) , reliability (semiconductor) , theoretical computer science , mathematics , algorithm , combinatorics , mathematical analysis , power (physics) , physics , geometry , quantum mechanics , politics , political science , law
The notion of signature has been widely applied for the reliability evaluation of technical systems that consist of binary components. Multi‐state system modeling is also widely used for representing real life engineering systems whose components can have different performance levels. In this article, the concept of survival signature is generalized to a certain class of unrepairable homogeneous multi‐state systems with multi‐state components. With such a generalization, a representation for the survival function of the time spent by a system in a specific state or above is obtained. The findings of the article are illustrated for multi‐state consecutive‐ k ‐out‐of‐ n system which perform its task at three different performance levels. The generalization of the concept of survival signature to a multi‐state system with multiple types of components is also presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 593–599, 2017