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First Failure Time of Dependent Multicomponent Reliability Systems

机译：相依多组分可靠性系统的首次失效时间

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In this paper are considered multicomponent reliability systems where component failure and repair completion rates depend on the state, ages and current repair durations of the other components. This is a generalization of a model of Ross (1984). Sufficient conditions on the sets of rates which imply stochastic ordering between first failure times of two such systems are found. Sufficient conditions on the rates which imply that the first failure time of such a system is new better than used (NBU) are given. Some results of Barlow and Proschan (1976), Chiang and Niu (1980) and Ross (1976) are obtained as special cases. A counterexample to an apparently stronger result of Miller (1979) is also given. Further results and a discussion are included. (Author)

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