Notice of Retraction: Reliability assessment of the system subjected to sudden and multiclass gradual failures

Abstract

There are many systems which undergo not only sudden failure but also multiclass gradual failures simultaneously. This paper presents an approach to reliability assessment of these systems. Firstly, the system reliability model is given. The sudden failure time is assumed to follow the two-parameter Weibull distribution and the distribution is real-timely updated by the Bayesian estimation approach, and then the reliability model of the system subjected only to sudden failure is obtained. The deterioration of a variable leading to one class of gradual failure is described by a Gamma process and the parameters are real-timely updated by the Bayesian estimation approach, and then the reliability model of the system subjected only to one class of gradual failure is formulated. The results of the numerical example show that the proposed approach is effective for the reliability assessment of the system subjected to sudden and multiclass gradual failure simultaneously.