Stochastic analysis of a n-unit repairable system with slow switch

Abstract

This paper deals with the costn–benefit analysis of a cold standby system composed of n identical repairable units, subject to slow switch. Two models of system functioning are studied in this paper. In model 1, the repair time of a unit is assumed to follow exponential distribution and the other time distributions as arbitrary, while in model 2, the repair time of a unit is assumed to be arbitrarily distributed and the other time distributions follow exponential law. For both the models, the system characteristics, namely

(i) the expected upn–time of the system during the period (O,t]

(ii) the expected busyn–period of the repair facility during the period (0,t] and

(iii) the expected time the units spend in the switchover/installation state during the period (O,t]

are studied by identifying the system a t suitable regeneration epochs. The cost-benefit analysis is carried out using these characteristics