受延迟随机损伤系统可修复时间的分布特征与修复概率

刘力维;俞军;张正军

系统科学与数学 ›› 2006, Vol. 26 ›› Issue (6) : 701-708.

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系统科学与数学 ›› 2006, Vol. 26 ›› Issue (6) : 701-708. DOI: 10.12341/jssms08754
论文

受延迟随机损伤系统可修复时间的分布特征与修复概率

    刘力维(1),俞军(2),张正军(1)
作者信息 +

The distribution charater and reparable probability for a system suffering delayed random damage

    Liu Liwei(1),Yu Jun(2),Zhang Zhengjun(1)
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摘要

研究受延迟随机损伤系统可修复时间的概率特性.即系统初始运行安全期时间长度为一随机变量,受Poisson过程规律的随机冲击并产生随机损伤.用条件随机过程和条件Markov过程为数学工具,求出系统可修复时间的密度函数与特征函数以及可修复概率.

Abstract

The paper studies the probability characteristic of the reparable time for a system suffering delayed random damage. That is, the safe time period of the system in its initial operation is a random variable, then it suffers random impact arriving by the rule of Poisson process and comes into damage. The article deduces the density function and characteristic function of the reparable time and the reparable probability of the system by mathematical means of the conditional stochastic process and conditional Markov process.

关键词

系统分析 / 分布特征 / 条件Markov过程 / 偏微分方程

Key words

System analysis / distribution and characteristic / conditional Markov process / partial differential equation

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刘力维 , 俞军 , 张正军. 受延迟随机损伤系统可修复时间的分布特征与修复概率. 系统科学与数学, 2006, 26(6): 701-708. https://doi.org/10.12341/jssms08754
Liu Liwei , Yu Jun , Zhang Zhengjun. The distribution charater and reparable probability for a system suffering delayed random damage. Journal of Systems Science and Mathematical Sciences, 2006, 26(6): 701-708 https://doi.org/10.12341/jssms08754
中图分类号： 60J27   
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