修理工可休假的Gnedenko系统的可靠性分析

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1、AbstractSeriesrepairablesystemwithwarmstandbysisanimportantsysteminreliabilitytheory・Repairmanisoneoftheessentialpartsofarepairablesystem,whiletherepairmanwhohasvacationorisengagedinotherworkcanhavetheimportantinfluenceonthesystemreliabilityexpressionsandtheeconomicbenefitofthesystem.Therefore,

2、ithastheoreticalsignificanceandapplicationvaluetoconsiderGnedenkosystemwithrepairmanvacation.Firstly,newmethodsareemployedtofurtherresearchintoGnedenkosystem.Systemreliabilityandmeantimetofirstfailureofthissystemareobtainedthroughanalyzingsystemmodel.Availabilityandthefailurefrequencyofthissyst

3、emareattainedbyutilizingbroadMarkovprocesstheoryandLaplacetransformmethod・Secondly,Gnedenkosystemwithrepairmanvacationisstudied.Threemodelsaresetupinaccordancewithdifferentvacationstrategies:simplevacationGnedenkosystem,multiplevacationGnedenkosystemand^-vacationGnedenkosystem.Somereliabilityex

4、pressionssuchasavailabilityandthefailurefrequencyofthesesystemsaresecuredbyutilizingbroadMarkovprocesstheoryandLaplacetransformmethod.Moreover,thebenefitofsimplevacationGnedenkosystemisdiscussed.Lastly,GnedenkosystemthatwhenthesystemfailsthegoodpartmaybeinvalidandGnedenkosystemthatthetimeofther

5、epairmanvacationtimeisdistributedgenerallyarebothstudied・Someimportantreliabilityindexesareobtained,suchasthemeantimetofirstfailureandtheLaplacetransformationoftheavailability.KeywordsSeriessystem;Warmstandby;Vacation;Reliability;Availability目录摘要IAbstractII第1章绪论11.1可靠性研究的发展历史与现状11.2系统可靠性的研究方法51

6、.3串联系统61.4修理工休假的可修系统71.5贮备系统91.6Gnedenko系统101.7论文的研究内容概述11第2章经典Gnedenko系统132.1模型描述132.2状态过程142.3系统可靠度和首次故障前平均时间142.4系统可用度162.5系统故障频度182.6本章小结18第3章修理工可休假的Gnedenko系统203」单重休假模型203.1.1模型描述203.1.2状态过程213」・3系统可靠性指标213.1.4系统效益分析273.2多重休假模型273.2.1模型描述283.2.2状态过程283.2.3系统可靠性指标293.3K重休假模型353.3.1模型描述353.3

7、.2状态过程353.3.3系统可靠性指标363.4本章小结38第4章修理工可休假的Gnedenko系统的进一步分析39in4.1模型描述394.2状态过程404.3系统可靠度和首次故障前的平均时间404.4系统可用度和故障频度424.5本章小结46第五章修理工休假时间服从一般分布的Gnedenko系统-475.1模型描述475.2状态过程485.3系统首次故障前平均时间485.4系统可用度515.5本章小结54结论55参考文献56攻读硕士学位期间承担的科研