关键词: 多级物流网络, 多商品, 网络设计, 变分不等式, 修正投影算法

Abstract: For designing the logistics network of the multi-level and multi-commodity flow, according to network status, the logistics network was divided into static network and dynamic network. This paper analyzed the infrastructure construction of static network and logistics activities of dynamic network. It constructed the operating cost function and construction cost function which can describe the different stages of network. Considering the problem of environmental pollution caused by the operating process, the management cost function was also constructed. Based on the above functions, general logistics network design and re-design optimization models were proposed, whose constraints were supply capacity and goal was minimizing the total cost. The two optimization models were converted to variational inequalities. By the method of modified projection, the paper calculated and verified the model, and obtained the facilities construction program and logistics organization program under the optimal costs.

Key words: multi-level logistics network, multi-commodity, network design, variational inequality, modified projection algorithm