A supply chain network oligopoly model with random demands

In this paper, we develop a model of supply chain network under oligopolistic competition, where the demands associated with the demand markers are random. The supply chain network is consisted of oligopolistic firms that compete non-cooperatively, and all the firms try to determine their product flows to maximize their profits. The Nash-Cournot equilibrium conditions are solved by using variational inequality. Finally, we illustrate the efficiency of the model by two numerical examples, for which the equilibrium prices and product shipments are computed.