Aryabhatta Journal of Mathematics & informatics

The present paper is an attempt to find out the reliability of two die casting machine case, initially the primary unit is in working state and the second unit is at cold standby. This paper deals with a two unit redundant system in which one unit is operative and the other is cold standby, i.e. the standby unit is used to replace the operative failed unit instantaneously. Before the repair of the operative failed unit, it is sent for fault detection which takes a random amount of time. After the repair, the unit goes into inspection for deciding whether the repair is perfect or not. If the repair is found to be imperfect the unit is sent for post repair. The several reliability characteristics of interest such as mean sojourn time, MTSF obtained using Markov processes and regenerative point technique. The graphical study tells about reliability and profitability of the system.