Relibility Analysis Of Four Kinds Of Repairable Systems With A Replaceable Facility

Reliability of repairable system is very important in the research of reliability. On the base of the existing research harvest of repairable system, the paper has extended some system reliability of repairable models, and gives some system reliability indexes.We give three repairable models with replaceable facility. For the series repairable system with one replaceable facility and a repairman doing other work, it is assumed that the lifetime distributions and the facilities distributions are all exponentially distributed, and the replace time of the facility and the work time of the repairman outside the system are all generally distributed. For the series repairable system with one replaceable facility and customers come in, under the condition that the life of each unit, the life of the facility are exponentially distributed, the repair time of the unit, the replace time of the facility and the work time of the repairman outside the system are all generally distributed. For the series repairable system with each unit has two types of failur and a repairman doing other work, it is assumed that the life time distribution of each unit, the life time of the facility and the arrival interval time distributions of the customers are assumed to be exponential and the other to be general continuous distributions.The three new repairable models, some important reliability indicates of the system and the facility are obtained by using approach of supplementary variables and method of generalized Markov progress.This paper discusses a repairable linear C (3,2: F ) system. Under the condition of different repairment, it is assumed that the working time and the repair time of each component in the system are both exponentially distributed, and one component after repair is not as good as new, otherwise the others after repair is as good as new. Each component is classified as either a key compon- eng or an ordinary one according to its priority role to the system's repair. By using approach of supplementary variables and the geometric process, some important reliability indicates of the system are obtained.