基于变分不等式的多商品流供应链网络模型

A Multi-Commodity Flow Supply Chain Network Model-Based on the Variational Inequality

针对多商品流的供应链网络均衡问题,考虑电子商务对供应链网络的影响,得到了制造商、零售商及需求市场的均衡条件,利用变分不等式形式把供应链网络均衡模型表述出来,得到了系统均衡的模型,利用拟牛顿法,得到了具有多商品流的供应链网络均衡模型的求解方法。用具体的数值算例验证了模型的合理性。

In this paper, we present a three-level supply chain network equilibrium conditions with multi-commodity flow in which e- lectronic commerce is considered. Business-to-Consumer and Business-to-Business decision-making is synthesized in a supply chain network with multi-commodity flow. The equilibrium conditions for each set of decision-makers are derived. The finite-dimensional variation inequality formulation of the supply chain network equilibrium model is obtained. The equilibrium model of the supply chain network is given. A Quasi-Newton Method is built to solve the equilibrium model. A numerical example is given to show the rationality of the model.