Analysis of a Parallel System with Priority to Maintenance over Repair Subject to Random Shocks

摘要

This paper has been designed with an object to determine reliability measures of a parallel system of two identical units with priority to maintenance over repair subject to random shocks. The unit has a direct failure from normal mode. There is a single server who visits the system immediately to perform maintenance and repair of the system. The unit undergoes for maintenance if it is affected by the impact of shocks while repair of the unit is done if it fails due to the reasons other than shocks. The unit works as new after maintenance and repair. Priority is given to maintenance of the shocked unit over repair of the failed unit. All random variables are statistically independent. The shock and failure times of the unit are exponentially distributed where as the distributions of maintenance and repair times are taken as arbitrary with different probability density functions. The expressions for some important measures of system effectiveness are obtained in steady state using semi-Markov process and regenerative point technique. Giving particular values to various parameters and costs, the results for MTSF, availability and profit function are obtained to depict their graphical behavior with respect to shock rate.