Stochastic Modeling and Performance Measures of Redundant System Operating in Different Conditions

Many authors have studied repairable redundant system operating in different condition under the assumption that the system received corrective maintenance at failure and preventive maintenance before failure. However, little or no attention is paid on whether the system can receive minor and major maintenance when it is operating in a reduced capacity state. In this study we consider a redundant air condition cooling system consisting of main unit and a warm standby reserved unit operating in different weather condition (High and low temperature). Using Kolmogorov's forward equations method, various measures of system performance such as Mean time to system failure (MTSF), availability, busy period and frequency of preventive, minor and major maintenance, profit function are obtained. Mean time to system failure, availability and profit function are studied graphically.