Abstract
Traditionally, all analysis of network reliability assumes that times of transmission and consumption in regard to arcs and nodes are a fixed constant; however, in reality these transmission times are not fixed and are stochastic. Moreover, the parameters of these transmission times may or may not be statistically independent; it is possible that they may be correlated. Therefore, this study proposes a new mathematic model and algorithm by which to solve this problem when encountered. This model includes the following three points: 1. It treats both the capacity and transmission times as stochastic. 2. It allows for the possibility of more than 2 paths between each node. 3. It allows for the possibility that the transmission times in the network need not be statistically independent. Eventually, this new model can be utilized in regard to transportation logistics problems, as well as non-wireless, network communication problems.