Reliability Analysis of Some Repairable Systems with Repairman Having Different Conditions
|Course||Probability Theory and Mathematical Statistics|
|Keywords||Repairable system The key member The update process Supplementary variable method Generalized Markov process Laplace transform Availability|
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 .