Calculating the Rate of Occurrence of Failures for Continuous-time Markov Chains with Application to a Two-component Parallel System

Abstract

In this paper, we assume that a system process is either a continuous-time Markov chain or a higher dimensional Markov process after introducing some supplementary variables. A formula for evaluating the rate of occurrence of failures is derived. As an application, a maintenance model for a two-component parallel system, in which component 1 after repair is not ‘as good as new’ but component 2 after repair is ‘as good as new’, is studied.

Keywords:

• geometric processes
• Markov processes
• rate of occurrence of failures
• failures