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具有修理延迟的两不同部件冷贮备系统的可靠性分析
引用本文:尚仲平,鲁淑霞.具有修理延迟的两不同部件冷贮备系统的可靠性分析[J].数学的实践与认识,2011,41(23).
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:研究了有修理延迟的两个不同部件和两个修理工组成的冷贮备系统.假定部件的工作寿命服从一般分布,故障后的延迟修理时间和修理时间均服从指数分布.利用马尔可夫更新过程、拉普拉斯变换和拉普拉斯-司梯阶变换工具,得到了系统的首次故障前时间、可用度和平均故障次数等可靠性指标.

关 键 词:冷贮备  延迟修理  更新过程  可靠性

Reliability Analysis of two Different Components Cold Standby System With Delay Repair
SHANG Zhong-ping,LU Shu-xia.Reliability Analysis of two Different Components Cold Standby System With Delay Repair[J].Mathematics in Practice and Theory,2011,41(23).
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:A two different components and two repairmen of a cold standby system with delay repair are studied.Assumed that the working life of components is subject to general distribution,and the delay fault repair time and repair time are exponential distributions. By using Markov renewal process,the Laplace transform and the Laplace-Division ladder transform,the system reliability indices such as the first failure time of system,availability and the average failure frequency are obtained.
Keywords:cold standby  delayed repair  renewal process  reliability  
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