A Reliability Evaluation Method for System's Dependent Competition Failure and Multi-Parameter Degradation Failure

Abstract

In order to enhance the reliability of a system that has dependent competition failure, a reliability evaluation method is proposed to evaluate the dependent competition failure and multi-parameter degradation failure. The multi-parameter degradation failure process is described with the Wiener stochastic process and the inverse Gaussian stochastic process. The Copula function is used to model the system's multi-degradation failure process. The two-stage maximum likelihood method is used to estimate the degradation failure parameters. The conditional probability of dependent competition failure in terms of degradation degree is established. The Bayes-Bootstrap method is utilized to correct the dependent competition failure parameters obtained with the maximum likelihood method and to further establish the system's dependent competition failure model. The degradation data of an aero-engine is used as an example to analyze the reliability under competition between dependent competition failure and multi-parameter degradation failure. The analysis results can effectively demonstrate the reliability of an aero-engine's performance and verify the validity of the model, thus having good engineering application values.