计算机工程 ›› 2010, Vol. 36 ›› Issue (2): 7-8.doi: 10.3969/j.issn.1000-3428.2010.02.003

• 博士论文 • 上一篇    下一篇

非Markov系统的可靠性仿真

刘 东1,熊 伟1,邢维艳2,王 鹏1,张 睿1   

  1. (1. 装备指挥技术学院重点实验室,北京 101416;2. 中国华阴兵器试验中心,华阴 714200)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2010-01-20 发布日期:2010-01-20

Reliability Simulation of Non-Markovian System

LIU Dong1, XIONG Wei1, XING Wei-yan2, WANG Peng1, ZHANG Rui1   

  1. (1. Key Laboratory, Academy of Equipment Command & Technology, Beijing 101416; 2. China Huayin Ordnance Test Center, Huayin 714200)
  • Received:1900-01-01 Revised:1900-01-01 Online:2010-01-20 Published:2010-01-20

摘要: 在进行非Markov系统的可靠性仿真时,为获得准确的状态转移时间抽样,提出剩余分布的近似抽样(ASRD)方法,利用多个均匀分布拟合一般形式的剩余分布,通过拟合参数d调整抽样精度和抽样效率。在此基础上,提出基于强制转移(FT)策略的ASRD(FT-ASRD)仿真方法。多个算例结果表明,当5≤d≤10时,FT-ASRD相对于常规仿真方法具有更高的效率,而且仿真结果的相对误差较小。

关键词: 强制转移, 可靠性仿真, 非Markov系统

Abstract: In order to sample precisely the state transition time when simulating non-Markovian system, a new sampling method named Approximate Sampling for Residual Distribution(ASRD) method is put forward, in which several uniform distributions are used to approach general residual life distributions. The approach-coefficient d is used to adjust sampling precision and efficiency. Another method named Forced Transitions(FT) based ASRD(FT-ASRD) simulation method is brought forward to simulate high-reliable non-Markovian systems. FT-ASRD uses FT strategy to get the unreliability parameter. Several examples show that, when 5≤d≤10, FT-ASRD is more efficient and has lower relative error compared with crude simulation methods.

Key words: Forced Transitions(FT), reliability simulation, non-Markovian system