The authors show how to determine the reliability of a multi-phase mission system whose configuration changes during consecutive time periods, assuming failure & repair times of components are exponentially distributed and redundant components are repairable as long as the system is operational. This mission relability is obtained for 3 cases, based on a Markov model: 1) Phase durations are deterministic; the computational compact set model is formulated and a programmable solution is developed using eigenvalues of reduced transition-rate matrices. 2) Phase durations are random variables of exponential distributions and the mission is required to be completed within a time limit; the solution is derived as a recursive formular, using the result of case 1 and mathematical treatment -a closed-form solution would be prohibitively complex and laborious to program. 3) Phase durations are random variables and there is no completion time requirement; the solution is derived similarly to case 1 using moment generating functions of phase durations. Generally, reliability problems of phased-mission systems are complex. The method provides exact solutions which can be easily implemented on a computer.
Phased-mission system reliability under Markov environment
Zuverlässigkeit von Avioniksystemen in Markov-Umgebung
IEEE Transactions on Reliability ; 43 , 2 ; 301-309
1994
9 Seiten, 4 Bilder, 2 Tabellen, 19 Quellen
Article (Journal)
English
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