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具有单重休假和修复不如新的两部件并联系统
引用本文:马淑莲,汪云芬,刘海涛,吴文娟.具有单重休假和修复不如新的两部件并联系统[J].数学的实践与认识,2011,41(16).
作者姓名:马淑莲  汪云芬  刘海涛  吴文娟
作者单位:1. 河北民族师范学院数学与计算机系,河北承德,067000
2. 燕山大学理学院,河北秦皇岛,066004
摘    要:为了解决由"修复非新"部件组成的具有休假的可修型系统,运用几何过程理论、补充变量法和拉普拉斯变换工具,研究了由两个不同型部件和一个修理工组成的可修型并联系统.假设两个部件的工作寿命和修理时间均服从不同的指数分布,修理工可休假,对部件1的修理是几何修理而对部件2的修理则是修复如新,得到了系统的可用度、可靠度和系统首次故障前平均时间等可靠性指标.成果具有一定的理论和实际意义.

关 键 词:几何过程  补充变量  休假  马尔可夫过程  拉普拉斯变换

The Parallel System with Repair of Non-New and Repairman Vacation
MA Shu-lian,WANG Yun-fen,LIU Hai-tao,WU Wen-juan.The Parallel System with Repair of Non-New and Repairman Vacation[J].Mathematics in Practice and Theory,2011,41(16).
Authors:MA Shu-lian  WANG Yun-fen  LIU Hai-tao  WU Wen-juan
Institution:MA Shu-lian~1,WANG Yun-fen~1,LIU Hai-tao~2,WU Wen-juan~2 (1.Department of Mathematics and Computer,Hebei Normal University for Nationalities,Chengde 067000,China) (2.College of Sciences,Yanshan University,Qinhuangdao 066004,China)
Abstract:In order to solve the repair of non-new components of repairable systems,by using the geometric process theory,the supplementary variable method and Laplace transform, two different types of components and one repairman of repairable parallel reserve system is studied.Assume that two components of working time and the repair time are subject to the different exponential distribution and repairman can vacation.The repair of the component 1 is geometry repair and the repair of the component 2 is as good as ne...
Keywords:geometric process  supplementary variable  vacation  Markov process  Laplace transform  
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