山东大学学报(理学版)
山東大學學報(理學版)
산동대학학보(이학판)
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
2014年
10期
62-65
,共4页
张权%韩旸%关宝玲%李艳君
張權%韓旸%關寶玲%李豔君
장권%한양%관보령%리염군
温储备系统%可靠性%系统首次失效时间%聚合马尔科夫过程
溫儲備繫統%可靠性%繫統首次失效時間%聚閤馬爾科伕過程
온저비계통%가고성%계통수차실효시간%취합마이과부과정
warm standby system%reliability%MTTFF%the aggregated Markov process
研究了由两个不同元件和一个维修工组成的温储备系统,而且转换开关是不完全可靠的,即只要转换开关失效,系统立即失效。假设两个元件和转换开关的工作时间和维修时间均为指数分布,同时元件1比元件2具有优先维修权和使用权,它们均修复如新。由于转换开关担负着工作元件与备用元件之间的转换工作,因此它是系统的重要组成部分,在维修中具有优先权。在这些假设下,构造了掌控这个系统的马尔科夫过程,并且通过使用聚合随机过程和拉普拉斯变换,推导了一些重要的可靠性指标。最后通过数值例子陈述了模型的理论结果。
研究瞭由兩箇不同元件和一箇維脩工組成的溫儲備繫統,而且轉換開關是不完全可靠的,即隻要轉換開關失效,繫統立即失效。假設兩箇元件和轉換開關的工作時間和維脩時間均為指數分佈,同時元件1比元件2具有優先維脩權和使用權,它們均脩複如新。由于轉換開關擔負著工作元件與備用元件之間的轉換工作,因此它是繫統的重要組成部分,在維脩中具有優先權。在這些假設下,構造瞭掌控這箇繫統的馬爾科伕過程,併且通過使用聚閤隨機過程和拉普拉斯變換,推導瞭一些重要的可靠性指標。最後通過數值例子陳述瞭模型的理論結果。
연구료유량개불동원건화일개유수공조성적온저비계통,이차전환개관시불완전가고적,즉지요전환개관실효,계통립즉실효。가설량개원건화전환개관적공작시간화유수시간균위지수분포,동시원건1비원건2구유우선유수권화사용권,타문균수복여신。유우전환개관담부착공작원건여비용원건지간적전환공작,인차타시계통적중요조성부분,재유수중구유우선권。재저사가설하,구조료장공저개계통적마이과부과정,병차통과사용취합수궤과정화랍보랍사변환,추도료일사중요적가고성지표。최후통과수치례자진술료모형적이론결과。
A warm standby repairable system consisting of two different units and one repairmanis was studied.The switch is not completely reliable,as long as the switch failure,system failure immediately.It is assumed that the work-ing time distributions and the repair time distributions of the two units and the transfer switch are both exponential,and unit 1 is given priority than unit 2 in use and repair.Both unit 1 and unit 2 are repaired“as good as new”.The switch taking change of the switching work between the working unit and the standby unit is an important part of the system and has the priority in repair.Under these assumptions,the Markov process governing the system is constructed and some important reliability indexes are derived by using the aggregated stochastic processes and the Laplace transform.Finally, a numerical example is given to illustrate the theoretical results of the model.