Stochastic behavior of a cold standby system with maximum repair time

Abstract

The main aim of the present paper is to analyze the stochastic behavior of a cold standby system with concept of preventive maintenance, priority and maximum repair time. For this purpose, a stochastic model is developed in which initially one unit is operative and other is kept as cold standby. There is a single server who visits the system immediately as and when required. The server takes the unit under preventive maintenance after a maximum operation time at normal mode if one standby unit is available for operation. If the repair of the failed unit is not possible up to a maximum repair time, failed unit is replaced by new one. The failure time, maximum operation time and maximum repair time distributions of the unit are considered as exponentially distributed while repair and maintenance time distributions are considered as arbitrary. All random variables are statistically independent and repairs are perfect. Various measures of system effectiveness are obtained by using the technique of semi-Markov process and RPT. To highlight the importance of the study numerical results are also obtained for MTSF, availability and profit function.Growing Science Ltd. All rights reserved. 5

Reliability analysis of a warm standby repairable system with two cases of imperfect switching mechanism

“…Kakkar et al [27] also studied this system under the assumption that active unit cannot fail after post-repair inspection and replacement. Considering the concepts of preventive maintenance, priority and maximum repair time, Kumar et al [28] developed a stochastic model for a two-unit cold standby system. Moreover, Kumar and Malik [29] analyzed a computer system consisting of two identical units with independent hardware and software component failures.…”