连续r-with-k-out-of-n冲击模型的可靠性  

Reliability of an r-with-consecutive-k-out-of-n shock models

作　　者：张权[1] 张金珠[2] 李艳君[1] 王希彬 ZHANG Quan;ZHANG Jinzhu;LI Yanjun;WANG Xibin(Science College,Qiqihaer University,Qiqihaer Helongjiang 161006,China;School of Mechanical Engineering,Hebei University of Technology,Tianjin 300401,China;Qiqihaer Ethnic Korean High School,Qiqihaer Helongjiang 161006,China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]河北工业大学机械工程学院,天津300401 [3]齐齐哈尔市朝鲜族中学,黑龙江齐齐哈尔161006

出　　处：《河北工业大学学报》2018年第6期33-36,共4页Journal of Hebei University of Technology

基　　金："十二五"国家科技支撑计划(2013BAK12B0803);黑龙江省教育厅项目(135109233);齐齐哈尔大学教研项目(2016016)

摘　　要：考虑一个电子系统,由于遭受冲击而引起失效,而且这个系统的寿命依赖于遭受的连续的致命冲击数,且系统承受的致命冲击数是有限的.本文提出了一个连续的r-with-k-out-of-n冲击系统,当且仅当有连续的k次有效冲击中有r次是致命的冲击发生会直接导致系统失效.利用马尔科夫嵌入法得到系统的寿命分布.最后,用一个数值算例来描述文章所获得的结果.The electrical system subjected to shock is considered.The shock can induce the system failure.The lifetime of the system depends on the number of consecutive fatal shocks.The number of fatal socks that the device can support is limited.In this paper,we present a consecutive r-with-k-out-of-n shocks system,which express that the system fails if and only if r times fatal shocks occur in k times consecutive effective shocks.As an excellent finite-Markov-chain embedding(FMCE)approach,it is used to evaluate the failure probability of the system.For this model,the survival probability is calculated.A numerical example is given to illustrate the results obtained in the paper.

关 键 词：连续有效冲击 有限马尔科夫嵌入法(FMCE) 连续r-with-k-out-of-n:冲击系统 失效率函数 

分 类 号：O213.2[理学—概率论与数理统计] O211.62[理学—数学]