Reliability Analysis Of K Out Of N:F Linear System

The consecutive k-out-of-n repairable system has always been very populer models in reliability mathematics. It has been used to model various engineering systems, such as street-lamp system, microwave stations of a telecom network, oil pipeline system, and other engineering fields. This thesis has discussed k-out-of-n repairable system, it consist of four chapters.Chapter one is preface, a brief introduction and an overview of background materials and current situation of my research are given.The chapter two discussed a linear consecutive k-out-of-n unrepairable system. Firstly, study the liner consecutive four out of eight fail system in the particular example. Then we discuss two kinds of three and two units out of eight units fail, the system cannot work. Finally, according to the relationship of the n and k, the system will be discussed three cases to obtain failed probability and reliability by using total probability formula.In chapter three, it researched a linear consecutive k-out-of-n repairable system with priority in repair. The critical components are defined, using the principle of priority in repair to maintain the critical components, and get some important reliability index of the system.In chapter four, it researched a consecutive 2 / 3: F repairable system with a single vacation of a repairman. Based on the assumptions to derive some important reliability index of the system, such as reliability, availability.