Optimization of Manufacturing Supply Chain under Across-chain Competition

In this research, the development trend of supply chain under across-chain competition nowadays in manufacturing industry is summarized. The research of across-chain competition are more focused on competition equilibrium analysis, contract and information structure, the design problem of supply chain structure under the background of across-chain competition has certain research space. According to design principle and design method of supply chain structure, this research utilizes variational inequalities and spatial price equilibrium theory to give the equilibrium condition of supply chain competition and demand market. On this basis, this research constructs optimal model of supply chain, which is dominance structure under the background of supply chain competition. The model covers the maximum of profits and market share, the environmental protection optimum and so on. Thus it can depict the structure design of supply chain more all-sidedly. Finally, it shows the Euler method built to solve the optimal model and shows the effectiveness of this model through corresponding numerical example.