onsecutive-(r,s,t)-out-of-(m,n,l): F系统的可靠性仿真求解研究
study on reliability of consecutive-(r,s,t)-out-of-(m,n,l): F system based on Monte Carlo simulation
3 dimensional consecutive-(r,s,t)-out-of-(m,n,l): F系统是一维和二维consecutive-k-out-of-n: F系统的一般化, 当系统中有r×s×t个部件失效并且这些失效部件分布在边长为r, s, t的长方体时,该系统失效.对于3 dimensional consecutive-(r,s,t)-out-of-(m,n,l): F系统的可靠性没有精确的公式可以求得, 因此针对解析方法获得一般3 dimensional consecutive-(r,s,t)-out-of-(m,n,l): F系统精确可靠性困难的问题, 本文运用蒙特卡洛仿真的方法来估计一般consecutive-(r,s,t)-out-of-(m,n,l): F系统的可靠性, 数值示例表明当仿真次数取值较大时, 该方法求得的系统可靠性接近于系统真实的可靠性, 因次用本文提出的方法来近似代替三维consecutive-k系统的可靠性是可行并且有效的.
he 3 dimensional consecutive-(r,s,t)-out-of-(m,n,l): Fsystem is a generalization of 1 and 2-dimensional consecutive-k-out-of-n:Fsystems, It fails if and only if it contains at least one cuboid of size r, s, t whose all of its components fail. It is very difficult, probably impossible, to derive simple explicit formula for the reliability of a general 3-dimensional consecutive-k-out-of-n: F system. According to the problem of obtaining the explicit reliability of a 3 dimensional-k system by using analytical method, Monte Carlo Simulation is used to evaluate the reliability of a generalized consecutive-(r,s,t)-out-of-(m,n,l): F system in this paper. Some numerical examples based on different iternum counts show that the value obtained by this method is approximately equal to the real reliability, hence the method proposed in this paper is very effective and feasible when the iternum is very large.
孙鸽、李宁、刘胜尧
计算技术、计算机技术自动化基础理论
可靠性consecutive-(rsr)-out-of-(mnl):F系统蒙特卡洛法
reliabilityconsecutive-(rsr)-out-of-(mnl): F systemMonte Carlo Simulation
孙鸽,李宁,刘胜尧.onsecutive-(r,s,t)-out-of-(m,n,l): F系统的可靠性仿真求解研究[EB/OL].(2012-12-28)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201212-1120.点此复制
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