With the rapid development of the market economy, the logistics enterprise played an important role in the market. As a result of appearing of green logistics, many companies reduce environment pollution and resource consumption. Green logistics includes individual activity of forward direction such as green transportation, green package and green processing in circulation, and those reverse logistic and those circular logistic, which means to realize resource recyclers.Based on the previous researches and practices, we present a recycle supply chain super-network model of green logistics , which consists of I manufacturers, J distributors, K markets and M recyclers. Whereas the aims of the principal parts in the supply chain super-network system are conflicts. Research on this paper using Anna Nagurney's method, we model the optimizing behavior of the various decision-makers, derive the equilibrium conditions, and establish the finite-dimensional variational inequality formulation. And then we provide qualitative properties of the equilibrium pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. Finally, we illustrate the model and algorithm through several numerical examples for which the equilibrium prices and product shipments are computed. The last of the paper draw the conclusion of this thesis and propose the future research of super-network.The variational inequalities is an important branch of mathematics and has many important application in many theoretical and applied science, such as, applied mathematics, physics, linear and no-linear programming problem, economics and transport fields. The super-network research center with Professor Anna Nagurney taking the lead combines economics ideology and operational management tightly. They investigate network's equilibrium situation using the variational inequality, and get notable progenies through using the traffic super-network's principles to investigate supply chain super-networks, financial super-networks and knowledge super-networks. At last, a numerical example is given to performance the operability of the theory. |