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On the Reliability of Repairable Systems

Mark Brown

Operations Research · 1984 · Volume 32 · Issue 3

DOI: 10.1287/opre.32.3.607

Abstract

This paper considers the time to first failure for repairable coherent systems containing independent exponential components. It derives several inequalities and relates them to previous work of the author and of Keilson to obtain approximations with error bounds for the distribution of the time to first failure.

Keywords

567 first passage time distributions for Markov processes, 731 system safety for repairable systems

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