Reliability Analysis Of N-unit Vote Repairable System With R Repair Facility

Repairable system is a system of great importance discussed in reliability theory. In the past, the reserve system have been investigated by many researchers, but to vote system, the research is very few, and for the two special vote system of the k-out-of-n:F(G) system and consecutive-k-out-n:F(G) system the research more minority.The k-out-of-n:F(G) system and consecutive-k-out-n:F(G) system are widely applied in real life and engineering. These systems have been invet-Igated by many researchers so far, but they supposed that component are independent and have one repairman. In this paper we will study these two systems in the following respects:(1) In the second chapter, an overview of some of the basic theory of system reliability. The definition, classification of model and the important indicator of reliability system is discussed in this chapter, and also introduced a special repairable system-Markov repairable system, to prepare for the subsequent chapters.(2) In the third chapter, a circular consecutive k-out-of-n:F repair-able system is studied. It is assumed that working time and repair time of each component are arbitrarily distributed and every component after repair is as good as new. Using the definition of generalized transition probability and the rule with priority to repair the key component, the state transition probability of the system is derived. Circular consecutive2-out-of-6:F system for an example is given to show the model, and some important reliability indices of the system can be obtained.(3) In the forth chapter, a circular consecutive2-out-of-n:F repair-able system is studied, and n components in the system have homoge-neous Markov dependence. It is assumed that working time and repair time of each component are arbitrarily distributed and every component after repair is as good as new. Using the definition of generalized transition probability and the rule with priority to repair the key component, the state transition probability of the system is derived. Finally, when n is given, some important reliability indices of the system can be obtained.