A variational inequality model for supply chain

Various types of supply chain model mainly concerns the profit of manufacturers, suppliers and customers. The manufacturers as well as the distributors are assumed to be multicriteria decision-makers and concerned not only with profit maximization but also with risk minimization. A variational inequality of the supply chain model is provided, and the validity of the model is proved, the algorithm of the variational inequality is provided. Data experiments illustrate the effect of the algorithm.