Paper Title
Profit Function Of A Two-Non Identical Cold Standby System Subject To Fog With Switch Failure And Repair Facility As First Come Last Serve

Abstract
To transfer a unit from the standby state to the online state, a device known as ‘switching device’ is required. Generally, we assume that (1) the switching device is perfect in the sense that it does not fail and (2) the repair facility is first come first serve basis.. However, there are practical situations where the switching device can also fail and the repair facility is FCLS i.e First Come Last Serve. We have taken units failure , switch failure distribution as exponential and repair time distribution as General. We have find out MTSF, Availability analysis, the expected busy period of the server for repair the failed unit under fog in (0,t], expected busy period of the server for repair in(0,t], the expected busy period of the server for repair of switch failure in (0,t], the expected number of visits by the repairman for failure of units in (0,t],the expected number of visits by the repairman for switch failure in (0,t] and Profit benefit analysis using regenerative point technique. A special case using failure and repair distributions as exponential is derived and graphs have been drawn.