Stochastic Modeling of A System Subject To Degradation And No Functioning In Abnormal Weather

The goal of this paper is to determine reliability and economic measures of a single- unit system which unable to perform its function in abnormal weather. For this purpose, two stochasting models are developed where the unit may fail completely either directly from normal mode or via partial failure. In model 1, the unit is repaired at its complete failure while in model 2, the repair is done at each mode of failure.The unit is considered as good as new after repair at partial failure but it becomes degraded after repair at its complete failure. The server inspects the degraded unit whenever it fails to see the feasibility of repair. If repair of the degraded unit is not feasible, it is replaced by new one. There is no effect of weather on inspection and repair of the unit. The distributions of failure time and time to change of weather conditions are taken as negative exponential while that of inspection and repair times are assumed as arbitrary with different probability density functions. The expressions for some measures of system effectiveness are derived by making use of regenerative point technique. Graphs are drawn to compare and highlight the results obtained for a particular case.