Comparative analysis of a cold standby system under different arrival conditions

Abstract

In this paper two reliability models for 2-units redundant system are analyzed stochastically by taking into consideration the concept of arrival and conditional arrival time of the server. There is a single server who takes some time to arrive at the system with the condition that he has to attend the system immediately at its complete failure. The failed server under goes for treatment and resume the jobs with full efficiency after treatment. The Semi-Markov process and regenerative point techniques are used to drive the expansions for some reliability and economic measures such as repair rate, treatment rate and arrival time of the server are statistically independent with different probability density functions. The graphical behavior of MTSF and profit function has been observed for particular values to various parameters and costs. The profit of the present model has also been compared with that of the model Nandal and Malik [2016].