Reliability Analysis of a Redundant System with ‘FCFS’ Repair Policy Subject to Weather Conditions

Abstract

In this paper reliability model of a redundant system of two non-identical units is developed that operates in normal/abnormal weather conditions. Single server is available with the system to perform repair activities in normal weather on first come first serve basis and no repair is carried out in abnormal weather. Initially, main unit is operative in normal mode and other non-identical unit is in warm standby mode. The main unit fails from normal operative mode while the other unit fails from warm standby/ operative mode. Failure rate of the units follows negative exponential distribution whereas the distributions of repair times are arbitrary. The expressions of various stochastic measures are analyzed in steady state using semi-Markov process and regenerative point technique to optimize the profit. The behaviors of some important measures for constant values are shown graphically.