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有优先权且工作故障与贮备故障后的修理时间不相同的温贮备系统的可靠性分析
引用本文:尚仲平,鲁淑霞.有优先权且工作故障与贮备故障后的修理时间不相同的温贮备系统的可靠性分析[J].数学的实践与认识,2011,41(22).
作者姓名:尚仲平  鲁淑霞
作者单位:1. 燕山大学 职业技术学院,河北 秦皇岛,066004
2. 河北大学 数学与计算机学院,河北 保定,071002
基金项目:河北省自然科学基金(F2011201063); 河北省教育厅科学技术研究计划(2009107)
摘    要:为了解决开关寿命为连续随机变量且部件工作故障的修理时间与贮备故障后的修理时间各不相同的问题,利用Markov过程理论和Laplace变换方法,研究了有优先权的两不同型部件和两不同修理工组成的温贮备可修系统.假定部件的工作寿命、贮备寿命、工作故障的修理时间和贮备故障的修理时间均服从不同的指数分布,得到了该系统的可靠度Laplace变换和系统的首次故障前平均时间的解析表达式.

关 键 词:Markov过程  温贮备系统  可靠度  首次故障前平均时间

Reliability Analysis of Warm Standby System with the Different Repair Time of Work Failure And Standby Failure and Priority
SHANG Zhong-ping,LU Shu-xia.Reliability Analysis of Warm Standby System with the Different Repair Time of Work Failure And Standby Failure and Priority[J].Mathematics in Practice and Theory,2011,41(22).
Authors:SHANG Zhong-ping  LU Shu-xia
Institution:SHANG Zhong-ping~1,LU Shu-xia~2 (1.Vocational and Technical College,Yan shan University,Qinhuangdao 066004,China) (2.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China)
Abstract:In order to solve continuous random variable of the switch lifetime and the repair time of the work failure and the repair time of the standby failure are not the same problem, by using Markov process theory and Laplace transform method,a warm standby repairable system with two different components and two different repairman and priority is studied. Assumed that working life of components,standby life,the repair time of work failure and the repair time of the standby failure are subject to different distri...
Keywords:Markov process  warm standby system  reliability  mean time to first failure  
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