Reliability analysis of dependent competitive failure model with uncertain parameters

In the absence of failure data, to use the inaccurate empirical data given by experts to evaluate the reliability of the system, the inaccurate empirical data are regarded as uncertain variables, and the parameters in uncertainty distribution function are also uncertain variables. This paper studies an extreme shock model with dependent competitive failure, both internal natural degradation and external shock can cause system failure, the external shock will cause a sudden increase in the amount of degradation. The degradation process is a linear uncertain process, and the external shock is described by an uncertain renewal reward process. The reliability and the mean time to failure of the system are calculated by employing uncertainty theory. Using micro-electro-mechanical systems (MEMS) as an example, the sensitivity of the system reliability is simulated, and the reliability of the system under uncertain parameters and constants is compared, as well as the reliability of the system under the dependent competitive failure model and the independent competitive failure model.