Reliability analysis of multi-state complex system with multi-state weighted subsystems

Abstract

Purpose

The purpose of this paper is to evaluate the reliability indices such as reliability, mean time to failure and sensitivity analysis.

Design/methodology/approach

A non-repairable multi-state complex system with two subsystems, namely, S₁ and S₂, is studied. The subsystems S₁ and S₂ are multi-state weighted r-out-of-n: G and s-out-of-m: G systems, respectively. Every component of the sub-system S₁ consists of linear (f, l, k): G system, and the sub-system S₂ consists of circular (f, l, k): G system. The subsystems are connected in series arrangement and components of these subsystems are arranged in parallel.

Findings

Markov stochastic process has been applied to obtain probability of components of the subsystems and various results discuss such as reliability, mean time to failure and sensitivity analysis with the help of the universal generating function.

Originality/value

In this work, reliability measures of the purpose system can be enhanced under the high profit.

Citation

Meenkashi, K., Singh, S.B. and Kumar, A. (2019), "Reliability analysis of multi-state complex system with multi-state weighted subsystems", International Journal of Quality & Reliability Management, Vol. 36 No. 4, pp. 552-568. https://doi.org/10.1108/IJQRM-04-2018-0089