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

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, S 1 and S 2 , is studied. The subsystems S 1 and S 2 are multi-state weighted r -out-of- n : G and s -out-of- m : G systems, respectively. Every component of the sub-system S 1 consists of linear ( f , l , k ): G system, and the sub-system S 2 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.