Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Application of statistical mathematics > Reliability theory

The Reliability Analysis about a Few of the Repairable Systems

Author ChenYongYan
Tutor ZhengHaiYing
School Wenzhou University
Course Applied Mathematics
Keywords Two-unit series repairable system Cold standby repairable system Parallel system The supplementary variables method Markov Process
CLC O213.2
Type Master's thesis
Year 2011
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The reliability of repairable system is a very important element of reliability of study.on the basis of the research of reliability system,we analyzed the reliability of the following for three repairable systems,by using Markov Process and the supplementary variable method,and obtained some important reliability indices of the systems.This paper belongs to the mathematical theory of reliability,the main job is as follows:1. A two-unit series repairable system with two replaceable facilities and a cold standby was studied. by using Markov Process, the laplace transformation of the reliability of the system and the mean time to first failure could be obtained. finally,the calculation method and concrete results of some steady state reliability indexes of the system could also be obtained.2. We studied a new model for the cold standby repairable system,in which the conception of a repairman with possible delay vacation was introduced. by using the supplementary variable method and generalized Markov Process, the availability and reliability of the system could be obtained, meanwhile,some important reliability indices like the probability of the repairman vacation and that the system needs repairing could also be obtained,finally, we gived a concrete example on Weibull distribution.3. Two-different-units parallel repairable system was studied in this paper.by using the supplementary variable method and generalized Markov Process, some important reliability indices could be obtained,and we also gived a concrete example to show some reliable indicator of specific forms of calculation.

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