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《Journal of Xihua University(Natural Science Edition)》 2008-03
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Reliability Analysis of Two Parallel Repairable Units System with Phase Type Repairs

DONG Bing(School of Computer Science,Civil Aviation Flight University of China,Guanghan Sichuan 618307 China),TANG Ying-hui.  
In this paper a parallel repairable system is considered as consisting of two dissimilar units and a single repairman.In the system,the life distribution of these two units is assumed to be exponential distribution,the repair distribution is assumed to be phase type distribution,and it is "as good as new" after the failed units repair.Under this assumption,the following features are studied by using Markov process,such as stationary probability distribution,system reliability and system availability,system mean failure time,distribution of the busy period and the idle period of the repairman.Respectively we prove that the reliability distributions follow PH distribution and busy period distribution of the server and repairman follow PH distribution.
【Fund】: 四川省教育厅自然科学基金重点项目(No.A067);; 四川师大引进人才基金项目;; 中国民航飞行学院青年基金(No.2007)
【CateGory Index】: O226
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【Citations】
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1 TANG Ying-Hui LIU Xiao-Yun (College of Applied Mathematics, University of Electronic Science & Technology of China , Chengdu 610054) (College of Automation Engineering , University of Electronic Science & Technology of China , Chengdu 610054);Reliability Analysis of One Unit Repairable System With Repairman Vacation[J];Acta Automatica Sinica;2004-03
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3 GUO Bo,HUANG Zhuo(Systems Engineering Department,National University of Defense Technology,Changsha 410073,China);Fitting Reliability Life Data with Continuous Phase-Type Distributions Via Generalized Deterministic Annealing EM Algorithm[J];Journal of Astronautics;2007-05
【Co-citations】
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1 MA Yong-mei QIAN Yun (Department of Mathematics,Chaohu College,Chaohu 238000,China);The generalized M~x/G/1 queue system with single vacations[J];Pure and Applied Mathematics;2008-02
2 ZHAO Guo xi, ZHU Yi jun (Faculty of Science, Jiangsu University, Zhenjiang, 212013, China);Priority queue with flow control[J];Journal of Chengdu University of Information Technology;2004-02
3 GU Qing-feng,ZHU Yi-juan (Faculty of Science,Jiangsu University,Zhenjiang,212013,China);M/M/1 queuing system with Bernoulli feedback and working vacations[J];Journal of Chengdu University of Information Technology;2008-04
4 CHEN Jie,ZHU Yi-juan(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);M/M/c queue with N-policy and multiple working vacations[J];Journal of Chengdu University of Information Technology;2008-05
5 LIU Jing-jing,ZHU Yi-jun(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);GI/M/I queue system with negative customers and working vacations and vacation interruption[J];Journal of Chengdu University of Information Technology;2008-05
6 WANG Hong-yong,ZHU Yi-juan(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);Function analysis of multi-server queuing system in production-inventory model[J];Journal of Chengdu University of Information Technology;2009-02
7 LIU Ya-zhen,TIAN Nai-shuo,XIU Chun(College of science,Yanshan University,Qinhuangdao 066004,China);Geom~X/G/1 queue of multiple vacations with set-up and closed-down period[J];Journal of Changchun University;2009-04
8 ZHOU Rui,WANG Yueke,QIAO Chunjie(College of Mechatronics Engineering and Automation,National University ofDefence Technology,Changsha 410073,China);Design and Optimization of a Connector for Underwater Cable[J];Journal of Test and Measurement Technology;2009-02
9 CHEN Zhi-ya,FU Yan-bing(School of Traffic and Transportation Engineering,Central South University,Changsha,410075,China);Stable working state of the delivery based on the randomness demands[J];Journal of Railway Science and Engineering;2008-01
10 CAO Feng-xue (School of Computer Science and Engineering,Jiangsu Teachers University of Technology, Changzhou 213001,China);The Research of Multi-agent Queuing Algorithm in Traffic Scheduling[J];Journal of Jiangsu Teachers University of Technology(Natural Science Edition );2008-02
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1 Zhu Lian-Zhang Liu Lu-Lu ~1The School Of Computer and Communication Engineering China University of Petroleum,Dongying Shandong 257061 ~2The School Of Computer and Communication Engineering China University of Petroleum,Dongying Shandong 257061;Modeling and Analysis of M/G/1 Multiple Vacation Queue with Exhaustive Service Based on TCPN[A];[C];2008
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