| Abstract: | This paper deals with profit analysis of a single-server two-unit (one priority and the other ordinary) cold standby system with two modes—normal and total failure. The priority unit gets preference both for operation and repair. After working a random amount of time, the operator of the system needs rest for a random amount of time and during the rest period of the operator the system becomes down but not failed. the system failure occurs when both the units are in total failure mode. Identifying the system at suitable regenerative epochs, the integral equations are set up for the probabilities of system being in the ‘up’, ‘down’ or ‘failed’ state and to solve these equations Laplace transform technique is adopted. Various reliability characteristics are obtained to carry out the cost-benefit analysis and numerical results pertaining to particular cases are also presented. |
