ANALYSIS OF TWO-UNIT WARM STANDBY SYSTEM UNDER TWO TYPES OF FAILURE AND TWO TYPES OF REPAIRS

Abstract

In this dissertatiOn we discuss two different models. In the first. model we have analysed a system consisting of two cold standby units with two types of failure and two types of repairs. Either of unit can be in operation or in partial failure mode or in total failure mode, An operating unit can fail partially or totally direct or totally through partial failure. A partially failed unit can be repaired during operation since partially failed unit remains operative with reduced capacity. A totally failed unit may require two types of repairs viz., major repair or minor repair. The failure of one unit is statistically independent of failuxe of the other unit. The system fails only when both the units fail totally. In the second model we have two unit ,wa3:m standby system. An operative unit can not fail totally without failing partially as we have assumed in the first model. For both the models we have assumed all the failure and repair time' distributions 'as general distributions. MTSF is derived by using techniques of regenerative process.