Cost-benefit analysis of one-server two-unit system subject to slow switch and random service

Abstract

This paper deals with the cost-benefit analysis of a single-server two-unit cold standby system subject to slow switch and random service facility. Two models of system functioning are studied in this paper. In model 1, the units are non-identical while in model 2, they are identical. In both the models, it is assumed that the distributions of the failure times, the switchover times and the repair times of the units are arbitrarily distributed. Further, it is assumed that there is a single service facility available at random according to a known distribution. k(.) to serve the dual purpose of switchover and repair. For both the models, the system characteristics, namely, 1. (1)|the expected up-time of the system during the period (0, t], 2. (2)|the expected time spent by the service facility in repair work during the period (0, t] and 3. (3)|the expected time spent by the units in the installation/switchover state during the period (0, t] are studied by identifying the system at suitable regeneration epochs to carry out the cost-benefit analysis.