DISCRETE REPAIRABLE RELIABILITY SYSTEMS

Citation
M. Shaked et al., DISCRETE REPAIRABLE RELIABILITY SYSTEMS, Naval research logistics, 40(6), 1993, pp. 769-786
Citations number
12
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science
Journal title
ISSN journal
0894069X
Volume
40
Issue
6
Year of publication
1993
Pages
769 - 786
Database
ISI
SICI code
0894-069X(1993)40:6<769:DRRS>2.0.ZU;2-L
Abstract
Consider a reliability system consisting of n components. The failures and the repair completions of the components can occur only at positi ve integer-valued times k is-an-element-of N++ = {1, 2 ...}. At any ti me k is-an-element-of N++ each component can be in one of two states: up (i.e., working) or down (i.e., failed and in repair). The system st ate is also either up or down and it depends on the states of the comp onents through a coherent structure function tau. In this article we f ormulate mathematically the above model and we derive some of its prop erties. In particular, we identify conditions under which the first fa ilure times of two such systems can be stochastically ordered. A varie ty of special cases is used in order to illustrate the applications of the derived properties of the model. Some instances in which the time s of first failure have the NBU (new better than used) property are po inted out. (C) 1993 John Wiley & Sons, Inc.