南昌大学学报（理科版）
南昌大學學報（理科版）
남창대학학보（이과판）
Journal of Nanchang University (Natural Science)
2015年
3期
213-220
,共8页
几何过程%Markov 过程%补充变量法%Laplace 变换%优先权
幾何過程%Markov 過程%補充變量法%Laplace 變換%優先權
궤하과정%Markov 과정%보충변량법%Laplace 변환%우선권
geometric process%Markov process%method of supplementary variable%Laplace transform%prior-ity
研究3个不同型部件和一个修理工组成的冷贮备可修系统，针对3个部件的工作时间和维修时间都服从指数分布，部件2为部件1的冷贮备，部件3具有优先修理权且故障后可以修复如新，对于部件1、2故障后均不能修复如新的情况建立了该系统的一般模型，运用几何过程理论和补充变量法得到了系统的可用度、可靠度、首次故障前平均工作时间（MTTFF）、系统瞬时故障频度（ROCOF）和修理工空闲的概率等可靠性指标的 Laplace 变换式。
研究3箇不同型部件和一箇脩理工組成的冷貯備可脩繫統，針對3箇部件的工作時間和維脩時間都服從指數分佈，部件2為部件1的冷貯備，部件3具有優先脩理權且故障後可以脩複如新，對于部件1、2故障後均不能脩複如新的情況建立瞭該繫統的一般模型，運用幾何過程理論和補充變量法得到瞭繫統的可用度、可靠度、首次故障前平均工作時間（MTTFF）、繫統瞬時故障頻度（ROCOF）和脩理工空閒的概率等可靠性指標的 Laplace 變換式。
연구3개불동형부건화일개수리공조성적랭저비가수계통，침대3개부건적공작시간화유수시간도복종지수분포，부건2위부건1적랭저비，부건3구유우선수리권차고장후가이수복여신，대우부건1、2고장후균불능수복여신적정황건립료해계통적일반모형，운용궤하과정이론화보충변량법득도료계통적가용도、가고도、수차고장전평균공작시간（MTTFF）、계통순시고장빈도（ROCOF）화수리공공한적개솔등가고성지표적 Laplace 변환식。
A cold standby repairable system consisting of three different components and one repairman was investigated in this study.It was assumed that the working time and the repair time distributions of the three di?erent components were exponentially distributed.And component 2 was a redundant of compo-nent 1.Component 3 was given priority and it was found as good as new after repair,but component 1 and component 2 were not so well as new system.The system was analyzed using the geometric process and the method of supplementary variable under these assumptions.Some reliability could induce the system availa-bility,reliability,MTTFF,ROCOF and the idle probability of the repairman.
