Minimal path matrix are defined. Based on the special vector operations defined in this paper, reliability of the systems can be expressed exactly by those of subsystems, and the algorithm is given.

定义了最小路径矩阵的几种运算，利用所定义的运算，将多源点多汇点网络系统转化为等价的单源点单汇点网络系统，并给出了由子系统可靠度精确表示网络系统可靠度的解析表达式。

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