Abstract: This paper extends the concept of Sensitivity Analysis of the Shortest Path（SASP），then gives the basic formula for SASP.Assioated with the actual situation of links in communication network，it is supposed that the lengh of every arc in a directed graph is stochastic variable and has independent probability distribution function.Finally，a new type of reliability evaluating model of the shortest path in the light of the basic formula for SASP is presented.

摘要： 首先对最短路灵敏度分析的概念进行了拓展，然后给出了最短路灵敏度分析的基本公式。与通信网络链路实际相联系，假设图中各弧的权值是随机变量，具有独立的概率分布函数。最后基于最短路灵敏度分析基本公式，给出了一种新型的最短路可靠性评估模型。