CAJ | 학술논문

状态组合算法和概率公式算法是 GO 法常用的定量分析方法，但对于多输入多状态的复杂系统，二者的计算均过于烦琐。结合两种算法，提出了一种简化的 GO定量概率矩阵算法。首先引入状态概率矩阵的概念，对常用操作符导出基于矩阵的定量计算公式；然后针对系统中共有信号的修正，提出了对任意多状态共有信号均适用的新算式；最后通过两个算例的可靠性计算，证明了所提算法的有效性。新算法不仅便于分析操作符状态和信号流状态之间的组合关系，而且算式直观、计算简单、易于编程，尤其在多输入多状态系统的可靠性计算上具有更大的优势。
상태조합산법화개솔공식산법시 GO 법상용적정량분석방법，단대우다수입다상태적복잡계통，이자적계산균과우번쇄。결합량충산법，제출료일충간화적 GO정량개솔구진산법。수선인입상태개솔구진적개념，대상용조작부도출기우구진적정량계산공식；연후침대계통중공유신호적수정，제출료대임의다상태공유신호균괄용적신산식；최후통과량개산례적가고성계산，증명료소제산법적유효성。신산법불부편우분석조작부상태화신호류상태지간적조합관계，이차산식직관、계산간단、역우편정，우기재다수입다상태계통적가고성계산상구유경대적우세。
State combination and probability formula algorithms are the two commonly used quantification analysis algorithms of GO methodology,but their calculations are too complicated for complex systems with multi-input and multi-state signals.Combining the two algorithms,a simplified GO quantification probability matrix algorithm is presented.Firstly,concept of state probability matrix is introduced and matrix-based quantitative formulas for common operator are derived.Then, based on revising of shared signals,a new equation is presented suitable for any multi-state shared signal.Finally,the results of two examples show that the algorithm is effective.The new algorithm is not only suitable to analyze the state combination relations between operator and signal flow,but also has the advantages of intuitive formula,simple calculation,easy programming,especially a greater advantage in reliability calculation of multi-input multi-state system.