Abstract
In this paper, a two-unit cold standby system is considered. Two models of system — functioning are studied here. 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 time, the switchover time and the repair time of the units are arbitrarily distributed. Further, the service facility is used both to install a standby unit and repair a failed unit and is assumed to be available at random according to a known distribution. The system characteristics, namely, 1.(1) the expected up-time of the system during the period (o, t]2.(2) the expected time spent by the service facility for carrying out repair of the units during the period (o, t] and3.(3) the expected time spent by the units in the switchover/installation state during the period (o, t] are studied by identifying the system at suitable regeneration epochs to carry out the cost-benefit analysis.
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