Reliability of multi-state consecutive <i>k</i>-out-of-<i>n</i> series and parallel systems

Abstract

In this paper, we focus on multi-state complex systems and their reliability. First, we provide a formula which computes the reliability of consecutive k-out-of-n: G systems. Then, we extend the used method to obtain the reliability of consecutive k-out-of- L_n: G series and consecutive k-out-of-L_n: G parallel systems. In the end, we illustrate all theoretical results by numerical examples.

Keywords: Reliability; Multi-state system; Multi-state complex system; Consecutive k-out-of-n: G system; Consecutive k-out-of-L_n: G series system; Consecutive k-out-of-L_n: G parallel system