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Discrete repairable reliability systems
Author(s) -
Shaked Moshe,
Shanthikumar J. George,
Zhu Haolong
Publication year - 1993
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 - 10.1002/1520-6750(199310)40:6<769::aid-nav3220400604>3.0.co;2-b
Subject(s) - reliability (semiconductor) , variety (cybernetics) , component (thermodynamics) , integer (computer science) , computer science , state (computer science) , function (biology) , reliability engineering , property (philosophy) , order (exchange) , mathematics , discrete mathematics , algorithm , physics , engineering , power (physics) , philosophy , epistemology , quantum mechanics , finance , artificial intelligence , evolutionary biology , biology , economics , thermodynamics , programming language
Consider a reliability system consisting of n components. The failures and the repair completions of the components can occur only at positive integer‐valued times k ϵ N ++ ϵ (1, 2, …). At any time k ϵ N ++ each component can be in one of two states: up (i.e., working) or down (i.e., failed and in repair). The system state is also either up or down and it depends on the states of the components through a coherent structure function τ. In this article we formulate mathematically the above model and we derive some of its properties. In particular, we identify conditions under which the first failure times of two such systems can be stochastically ordered. A variety of special cases is used in order to illustrate the applications of the derived properties of the model. Some instances in which the times of first failure have the NBU (new better than used) property are pointed out. © 1993 John Wiley & Sons, Inc.