Theory of Maintained Systems: Distribution of Time to First System Failure
- 1 February 1976
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 1 (1) , 32-42
- https://doi.org/10.1287/moor.1.1.32
Abstract
The distribution of time to first system failure is considered for systems whose repairable components are separately maintained. It is shown that if repairable components have exponential failure law, repair distributions have decreasing repair rate, and nonrepairable components have increasing failure rate, then the distribution of time to first system failure is new better than used. Improved bounds are given for the exponential repair case.Keywords
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