建立了随机需求下直销多商品流供应链网络均衡模型,导出了供应链网络达到均衡的条件,它等价于一个有限维变分不等式.通过构建修改拟牛顿法,获得了随机需求下直销多商品流供应链网络均衡模型的解(变分不等式的解),并给出了1个算例,验证了模型的正确性和算法的可行性. The equilibrium model of direct supply multi-commodity flow supply chain network under stochastic demand is established and the condition that the supply chain network reaches equilibrium is derived, which is equivalent to a finite dimensional variational inequality.Through the construction of modified quasi-Newton method, A Solution to the Equilibrium Model of Commodity Flow Supply Chain (Solution of Variational Inequality). An example is given to verify the correctness of the model and the feasibility of the algorithm.