Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking

Abstract

In safety critical applications, it becomes common to improve the reliability through k-out-of-n redundancy. In this research, the authors have presented an analytical approach to compute the reliability measures of a system, which contains a mixed configuration. The system consists of three subsystems, namely A, B and C, connected in mixed configurations (i.e. combination of series and parallel configuration). Subsystem A is of the type 1-out of-2:G. Subsystem A is connected to subsystem B in a parallel configuration and these two subsystems are connected in series configuration with subsystem C. The considered system has three states, namely, good, degraded and failed. Markov process, supplementary variable technique and Laplace transformation have been used for solution and reliability measures like availability, reliability, mean time to failure, sensitivity analysis and cost-effectiveness have been evaluated of the considered system.