Abstract: A simplified variational inequality model and its projection algorithm were proposed to optimize stream line networks that are complex hypernetworks. In the model, the objective is the matching degree between supply and demand, and the constraints are capacities and resources, and the model is converted to a variational inequality form. A case study on a logistics nodes allocation plan was presented. The result shows that the matching degree (0.999 7) by the projection algorithm is greater than that (0.947 6) by experience comparative method. It was proved that the proposed model has a unique solution.