Reliability Anlysis Of Monotone Coherent System For Some Censored ? Shock Model To Failure Mechanism

The theory of reliability grew out of world war ii.In recent years,it is widely used in various fields.Reliability theory takes probability theory and mathematical statistics as the main research tools.It is the theory and method to analyze,model and evaluate the system operation reliability.There are many mathematical models about reliability,among which the censored ? shock model is one of them.This paper discusses the reliability of monotone correlation system in the censored ? shock model,which is divided into two stages:In the first stage,the impact on independent source,with the help of a different system of element number and different relationship,discusses the impact time interval obeying poisson distribution censored ? shock model independent series system,parallel system independently,independent series-parallel,and independent and-series system reliability,failure rate and the boundary issue,got four related reliability index system according to expression.Finally,MAT LAB R2016 is used to conduct numerical simulation for the four system reliability and impact parameter size delta,and the correlation graph between the four system reliability and censored parameter? is obtained.In the second stage,the reliability problem of dependent series systems and dependent parallel systems under poisson censored ? shock model is discussed,and the display expressions of the two systems related reliability indexes are obtained.Compared with the system reliability under independent shock source.In addition,the MAT LAB R2016 is used to conduct numerical simulation of poisson censored ?dependent parallel system.In the case of fixed parameters,the reliability is numerically simulated with the change of time,and the obtained results have some implications for the reliability of complex systems.This project will be the study of the truncated impact model from the unit to the monotone system,the results of this project on the reliability of statistics,maintenance,and other applications,have a certain amount of inspiration,enrich the development and application of the truncated impact model.