A Logistics Network Assignment Method with Dual Equilibrium

摘要

This paper established a three-tier logistics network consisting of carriers, logistics providers, and shippers. The logistics products flow in the network. There is competition in the same tier and cooperation between the distinct tiers. We use Nash equilibrium to analyze the optimal decision behaviors of the carriers and the logistics providers, and we use user equilibrium to analyze the choice behaviors of the shippers. The variational inequality problem describes their optimality/equilibrium conditions. The equilibrium assignment model of the logistics network is established when the tiers are in the equilibrium state. Finally, a numerical example is given. The example indicates that the model and the algorithm are effective.