The Reliability Analysis Of Series-Parallel System Consisting Of Three Different Components With Switch

The series-parallel system is an important system of Reliability Theory.Scholars from home and abroad mainly consider the same type and not repairing system and system can be repaired "as good as new"when they discuss the series-parallel system.In fact,many systems can't be repaired "as good as new".System's life becomes shorter and shorter and eventually out of work with time going byand with repairing times increasing.System can't be repaired when repairing time become longer and longer.This passage based on existing basis's results that is aimed at series-parallel system mainly have the following aspects:In the second chapter, consider the series-parallel system consisting of there different unit with switch can not be repaired ,we consider the situation with two parts: First, consider the switch entirely reliable in the transform, the series-parallel system with three components can not be repaired , and different parts of the three types, the components are independent and obey the exponential distribution of the different models; Secondly, considering the switch is not completely reliable, established by the series-parallel connection of three components with non-repairsystem, and different parts of the three types, the life distribution of unit are assumed to be exponential distribution.Applications of Matlab , By setting and analyzing the system model, we obtain a series of reliability guideline expression about the system.In the third chapter,consider the series-parallel system consisting of three different components ,we consider the situation with two parts:First,consider the system has a repairman, after the failure of the components can be repaired are "as good as new", the system components are different types, the components are independent and subject to different exponential distribution model ,and applications of the Markov process and Matlab,we obtain a series of reliability guideline expression about the system;Secondly,considering the repairable series-parallel system consisting of three components, there is a repairman in the system ,two parts of parallel can be repaired "as good as new", the part of series can't be repaired "as good as new".These three parts of the system are different type, the life distribution of unit are assumed to be exponential distribution,and applications of Markov process and Mathematica, Laplace transform and its inverse transform, we obtain a series of reliability guideline expression about the system.