Cost-benefit analysis of a 2-unit priority-standby system withpatience-time for repair

The cost of a one-server two-unit (one priority and the other ordinary) cold-standby system with two modes-normal and total failure-is analysed. Whenever the repair time of a failed priority unit exceeds some given maximum time, it is rejected and an order is placed for a new unit. Failure and delivery time distributions are negative exponentials, whereas repair and replacement time distributions are arbitrary. An analysis of the system is made to determine the reliability measures (MTSF (meantime to system failure), steady-state availability, busy period analysis of repairman, etc.) by using the regenerative point technique