• PROFIT ANALYSIS OF A COLD STANDBY SYSTEM UNDER MAINTENANCE AND REPAIR SUBJECT TO RANDOM SHOCKS

Abstract

A two-unit cold standby system is analyzed in which operative unit suffers a random shock with some probability. There is a single server who visits the system immediately to conduct maintenance and repair of the unit. The unit undergoes for maintenance if it is affected by impact of shocks. However, repair of the unit is done when it fails due to some other reasons. The unit works as new after maintenance and repair. The distributions of random shocks and failure times of the unit follow negative exponential while that of maintenance and repair times are taken as arbitrary with different probability density functions. The expressions for some performance measures of the system model are derived in steady state using semi-Markov process and regenerative point technique. The graphical study of the results obtained for mean time to system failure (MTSF), availability and profit has also been made giving some particular values to various costs and parameters.