On Multi-commodity Reliability Evaluation of a Stochastic-Flow Network with Node Failure

This paper studies the performance index that the system probability is not less than the given demand for a stochastic-flow network whtere each arcs and nodes have several capacities and multiple types of commodities transmitted through the same network. One solution procedure is proposed to evaluate the multi-commodity reliability and a simple algorithm is presented in terms of MPs. An illustrative example is given and the difference between multiple types of commodities systems and single commodity systems is discussed