关键词: 复杂网络, 供应链, 交易量, 局域世界, 位置吸引力

Abstract: The initial position values of enterprise nodes are presented as power-law distribution to reflect different roles of node enterprises on the basis of common local-world evolving network models.Inspired by the law of universal gravitation,this paper utilized the size of position and distance values to define the concept of position attraction of node enterprises,and determined the local world of every newly added node by using attraction rules.The compound priority connection mode of node degree and node strength is adopted among new nodes and the old nodes in the local world,making up for the defect that priority connection only relies on node degrees.In this sense,the weighted complex supply chain network-world evolving model was established based on position attraction.The experiments were conducted to simulate the dynamic evolution process such as complex network growth,edge exit and node exit etc.Through the calculation and statistic analysis of important parameters in complex supply chain networks such as network integrity degree distribution,average path length and average gather coefficient,it is found that the degree distribution of the complex supply chain network shows power-law distribution.It can guarantee the heavy tailed characteristics with the majority of the nodes possessing low degree and few nodes possessing high degree.At the same time,the complex supply chain network possesses small world characteristics with larger clustering coefficient and smaller average path length.This research provides theoretical foundation for supply chain enterprises to establish supply chain networks in practice,and it is conducive to analyze characteristics related to real supply chain networks better and identify important nodes for further protection.

Key words: Complex network, Local world, Location attraction, Supply chain, Trading volume