Comparative analysis of 2-out-of-2 g system with single cold standby and arrival time of the server

This paper analyzed a G system of 2-out of-2 with a single cold standby identical unit. A single server is offered to provide the services after some arrival time to rectify the faults. The unit is replaced by new one if the repair is not possible by the server in a given pre-specific time (maximum allowed time). The time for failure and when unit is tested for replacement, repair time and also for arrival are taken as exponential and rayleigh distribution respectively. The concept of base state with fuzziness and using it while applying RPGT for the profit analysis of the system. To allocate the behavior of some key parameters of the system to check the efficacy of the system model under particular situations is shown graphically.