The purpose of this paper is to evaluate the reliability indices such as reliability, mean time to failure and sensitivity analysis.
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.
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.
In this work, reliability measures of the purpose system can be enhanced under the high profit.
