The Analysis And Control Research Of Complex Network Model Based On Supply Chain

With the trends of global economic integration, political, economic and social environment are changing tremendously, and continuous increasing of consumer consumption has intensified the competition among enterprises. In order to improve competitiveness, enterprises have adopted many advanced technologies and management methods. Enterprise, no longer as a single entity in the global market, has integrated as a part of the supply chain that facing competition, which has transformed competition among enterprises into the competition between supply chains. Supply chain is a dynamic responding and collaborating network of supply and demands in a fasting changing environment, which is composed by the suppliers, manufacturers, distributors, retailers, customers and other entities.Supply chain interaction between enterprises is quite complicated, influenced by other supply chain entities and the market environment, so the supply chain system is a typical complex network system. Currently, much of the supply chain research focuses on a certain operation (microscopic behaviors), and ignores the macroscopic system behavior as a whole. From the system viewpoint, based on complex network theory and exploration of macroscopic behavior, growth and evolution of the complex supply chain network would be of great theoretical and practical significance to the supply chain management.Based on complex network theory, this paper analyzed the supply chain network model, its invulnerability and pinning control problem, mainly including the following:1. An evolution model of hierarchical supply chain network is proposed for the subsequent discussion on network topology model. In this model, the probability selection and multi-parameter combination of node degrees and edge weight provide the network evolution. The numerical simulation results validate the model and show that the model has a small-world effect and scale-free characteristics of a network, and its’index of power-law distribution falls within the (2,3) range, which is consistent with the vast majority of real world distribution networks. 2. Considering the transmission performance of node failures, this paper proposed a transferring attack strategy. Numerical simulation analyzed the network connectivity and the robustness of network stability and relative performance under various interference (random attack, selective attack, transferring attack) of the supply chain networks.3. The node failure loading distribution strategy is proposed, integrating global information and local information, and the cascading failure model of supply chain network is established. Through simulation, the initial node attacks, different node failure loading distribution strategies, and different node overload tolerance and other factors are analyzed for the effects on the supply chain network cascading failure behavior.4. The pinning control model for discrete supply chain network with heterogeneous nodes is proposed, and the control problem of different types of nodes in the network to the same homogeneous steady state is also analyzed. For heterogeneous nodes with different local feedback controller, Lyapunov function and linear matrix inequalities are adopted to obtain the network exponentially stable condition. Numerical simulation results demonstrate the validity of the model.