【摘要】：針對(duì)傳統(tǒng)多階段馬爾可夫模型CMM(conventional multi-phase Markov)在建模過程中存在分析過程復(fù)雜、維數(shù)爆炸等問題,提出一種多階段馬爾可夫模型簡(jiǎn)化算法SMM(simplified muti-phase Markov)。對(duì)該方法與CMM方法、IEC61508解析式方法中的計(jì)算負(fù)荷與精度進(jìn)行數(shù)值分析。結(jié)果表明:采用SMM方法的計(jì)算結(jié)果與CMM方法的基本一致,在維持計(jì)算精度的同時(shí)避免了CMM方法中復(fù)雜的多階段馬爾可夫建模過程,極大地降低了計(jì)算量,使得安全儀表系統(tǒng)中失效概率計(jì)算更加快速且準(zhǔn)確。
[Abstract]:In order to solve the problem of complex analysis process and dimension explosion in the modeling process of traditional multi phase Markov model CMM (conventional multi-phase Markov), a multi-stage Markov model simplification algorithm SMM (simplified muti-phase Markov) is proposed. The calculation load and precision in the method and CMM method and IEC61508 analytical method are calculated. The results show that the calculated results of the SMM method are basically the same as that of the CMM method. At the same time, the complexity of the multi stage Markov modeling process in the CMM method is avoided, and the computational complexity is greatly reduced and the calculation of the inefficiency probability in the safety instrument system is faster and more accurate.
【作者單位】： 中國(guó)石油大學(xué)機(jī)電工程學(xué)院;中國(guó)石油獨(dú)山子石化公司;
【基金】：山東省自然科學(xué)基金項(xiàng)目(ZR201702160283) 國(guó)家重大科技專項(xiàng)(D719-ZGSY-555)
【分類號(hào)】：TE65;TQ086

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