Reliability analysis of non-repairable complex system with weighted subsystems connected in series

In this paper we deal with the study of non-repairable complex system which consists of two subsystems say A and B, connected in series. The subsystems A and B are weighted k-out-of-n: G and weighted l-out-of-m: G configurations respectively. The subsystem A consists of n type-L components of linear (v, f, e): G configuration whereas the subsystem B consists of m type- S component of circular (v, f, e): G configuration. All the components of the subsystems A and B are arranged in parallel. In this study evaluation of the reliability characteristics such as reliability, mean time to failure and sensitivity of the considered system with the application of universal generating function is presented. To demonstrate the model a numerical example have been taken at last in which probability of success of the components of the component of the subsystems A and B follows exponential distribution. Reliability of the system after imposing some conditions on weight has also been compared.