Eco-industrial symbiosis network equilibrium model

A symbol system was proposed for the eco-industrial symbiosis network equilibrium model, which is beneficial to decreasing the consumption of virgin materials and reducing emissions generated by industrial activities. In light of the complex eco-industrial symbiosis network structure with multi-products (semi-products, finished products, by-products, wastes and useful materials) and multi-levels (industrial producers, industrial consumers, industrial decom-posers, and demand markets), we described the optimizing behavior of various decision-makers, derived the equilibrium conditions, and established the eco-industrial symbiosis network equilibrium model as a variational inequality problem. The properties of the corresponding variational inequality were discussed under some reasonable assumptions. Finally, the eco-industrial symbiosis network equilibrium model was illustrated with a numerical example to verify its rationality.