Research On Optimization Model Of Reverse Logistics Supernetwork

Along with the rapid development of the market economy, the important role played by the logistics enterprise becomes more and more apparent. At the same time, accompanied by the development of green logistics and circular economy, and the consummation of the environmental laws and regulations, more and more enterprises began to pay attention to reverse logistics. However, due to the uncertainty within the reverse logistics, lots of enterprises start to explore ways to realize the most optimum distribution of resources with low cost, low risk, high efficiency, and high benefits, by virtue of the strength of the Third-Party Logistics, so as to complete the process of the recycle and reuse of the commodity.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 nolinear programming problem, economics and transport fields. The supernetwork 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 supernetwork's prinpiles to investigate supply chain supemetworks, financial supernetworks and knowledge supemetworks.Based on the previous researches and practices, we develop a framework for the modeling of reverse logistics analysis, and computation of solutions to a recycle supply chain supemetwork which consist of consumers, the Third-Party Logistics recyclers, manufacturers, retailers, demand markets and the landfills. Whereas the aims of the principal parts in the supply chain supemetwork 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 supernetwork.