On the First Failure Time of Dependent Multicomponent Reliability Systems.
ARIZONA UNIV TUCSON DEPT OF MATHEMATICS
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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
- Statistics and Probability