A Study on the Multi-state (r, s)-out-of- n Systems with Dependent Components

In the study of technical systems in reliability engineering, multi-state systems play a useful role. A multi-state system is a system consisting n components that system and its components may have several level performance. In the present paper, we introduce the multi-state (r, s)-out-of-n system consisting n elements having the property that each element consists two dependent components and each component of the elements and the system can be in one of m+۱ possible states: ۰, ۱, ۲,..., m. We investigate an efficient method to compute the exact reliability by using the distribution of bivariate order statistics. Depending on the number of active components of the multi-state (r, s)-out-of-n systems at time t, the mean residual lifetime function of the system is studied. Also, an example and illustrative graph is provided.

کلیدواژه ها:

Multi-state (r ، s)-out-of-n system ، Bivariate order statistics ، Reliability function ، Mean residual lifetime