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具有兼职的维修工随机退化模型
引用本文:张权,崔利荣,韩旸.具有兼职的维修工随机退化模型[J].北京理工大学学报,2016,36(2):197-200.
作者姓名:张权  崔利荣  韩旸
作者单位:齐齐哈尔大学理学院,黑龙江,齐齐哈尔161006;北京理工大学数学与统计学院,北京100081;北京理工大学管理与经济学院,北京,100081;齐齐哈尔大学理学院,黑龙江,齐齐哈尔161006
基金项目:十二五国家科技支撑计划资助项目(2013BAK12B0803);黑龙江省教育厅资助项目(12541900)
摘    要:研究具有一个维修工的可修系统,且这个维修工有多个兼职工作. 如果系统失效并且维修工在做兼职工作,则该系统将等待维修直到这个维修工可用,当这个维修工可用时,本系统具有优先权. 维修后,本系统不能修复如新. 在这些假设下,建立模型,利用几何过程和补充变量法,推导了一些重要的可靠性指标,包括可靠度、可用度、失效发生率等. 最后,通过数值算例验证得到的结果. 

关 键 词:几何过程  补充变量法  可靠度  可用度  失效发生率
收稿时间:2014/9/22 0:00:00

Stochastic Deteriorating Model for a Repairman with Multiple Jobs
ZHANG Quan,CUI Li-rong and HAN Yang.Stochastic Deteriorating Model for a Repairman with Multiple Jobs[J].Journal of Beijing Institute of Technology(Natural Science Edition),2016,36(2):197-200.
Authors:ZHANG Quan  CUI Li-rong and HAN Yang
Institution:1.Science College, Qiqihaer University, Qiqihaer, Heilongjiang 161006, China;School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China2.School of Management & Economics, Beijing Institute of Technology, Beijing 100081, China3.Science College, Qiqihaer University, Qiqihaer, Heilongjiang 161006, China
Abstract:In this paper, a repairable system with a repairman who has multiple jobs was studied. If the system fails and the repairman is working, it will wait for repairing until the repairman is available. When the repairman is available, the system has priority. After repairing, the system is not "as good as new". Under these assumptions, using the supplementary variable method and the geometric process, some important indexes were derived, such as the system reliability, availability, rate of occurrence of failures, etc. Finally, a numerical example was given to illustrate our results.
Keywords:geometrical process  supplementary variable method  reliability  availability  rate of occurrence of failures
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