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
刘 东;熊 伟;邢维艳;王 鹏;张 睿. 非Markov系统的可靠性仿真[J]. 计算机工程, 2010, 36(2): 7-8.
LIU Dong; XIONG Wei; XING Wei-yan; WANG Peng; ZHANG Rui. Reliability Simulation of Non-Markovian System[J]. Computer Engineering, 2010, 36(2): 7-8.