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

Reliability Analysis of Some Repairable Systems with Repairman Having Different Conditions

Author ZhuZhenHua
Tutor MengXianYun
School Yanshan University
Course Probability Theory and Mathematical Statistics
Keywords Repairable system The key member The update process Supplementary variable method Generalized Markov process Laplace transform Availability
CLC O213.2
Type Master's thesis
Year 2010
Downloads 37
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Repairable system reliability analysis is one of the important elements in the reliability study , repairable model , the voting system , Warm Standby system and parallel systems are widely used in practical engineering . Papers on the basis of the reference , the promotion of several repair model , the system reliability indicators . A loss of efficiency change annular adjacent k / n ( F ) can repair the system , the member loses efficiency as the number of working parts of the system is changed and there is more than repairman conditions , using Markov research methodology and key components of the type repairable system with priority to repair rules , the system mean time to first failure and availability, reliability and reliability indicators Laplace transform expression . Second , the study of two different components of the Warm Standby Repairable system in a working life of components , repair times are exponentially distributed priority , another component of reserve life , working life and repair time obeys the general distribution and time detection strategies considered in the reserve under the assumption that the Markov renewal process , the system mean time to first failure and instantaneous availability , the average number of failures and reliability indicators LS or Laplace transform expression . Third , the study of the two leave the system , (1) is a parallel system repairman multiple vacations and repair in a different situation , (2) is a parallel system repairman with multiple delay vacations with Warm Standby components , the use of the generalized Markov process theory and method of supplementary variable , respectively of these two systems availability , reliability and reliability indicators Laplace transform expression and steady - state indicators .

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