A Note on Reliability Computation for Linear Consecutive-k-out-of-n:G Systems Using Domination

A linear consecutive-k-out-of-n: G system consists of n components which are arranged in a line and the system works if exists k or more working components continuously arranged. In this paper, we first summarize the several proposed methods of system reliability evaluation of the consecutive-k-out-of-n:G systems. However, these methods based on the assumption that all components are independent and identical. We then consider the system reliability of the linear consecutive-k-out-of-n: G system when components lifetime not need to be identical, and a method of domination is introduced.