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基于改进BA模型的不同规模海运复杂网络演化研究

     

摘要

Based on complex network theory, this paper analyzes the shipping network topological structure with characteristics of scale-free network. The BA scale-free network model is used to establish the evolutionary shipping network. Connection probability is the important basis of BA model' s node priority connection. The paper focuses on port nodes analysis in shipping network and examines the node attraction degree by weighted quantification and MATLAB programming, which considers the influence factors of connection between the nodes to service connection probability formula. The BA model is thus improved. Related data about 15 and 25 global major container ports is respectively selected and modeled by the improved BA model to describe the shipping network evolution. The results prove that shipping complex network has the same characteristics as scale-free network and its characteristics are not necessarily linked with the number of nodes. Based on the evolution model algorithm, the features of large scale shipping evolving network are summarized as; shorter average path, stronger clustering, greater differences in node degree. The actual network composed of global liner routes is used for further verification and the similar structural characteristics are obtained.%以复杂网络理论为基础,分析海运网络的拓扑结构具有无标度网络特性,可运用BA无标度网络模型构建演化海运网络.连接概率是BA模型中节点优先连接的重要依据,据此,针对海运网络港口节点进行研究,通过加权量化和MATLAB编程将影响节点间连接的因素组成节点吸引度,引入连接概率公式,改进了BA模型.分别选取2010年全球15个和25个主要集装箱港口的相关数据,运用上述改进BA模型分别得到不同规模的海运网络演化情况,演化结果验证了海运复杂网络具有无标度网络特征,呈现的特性与网络规模没有必然联系,规模大的网络平均路径更长、集聚性更强,度值相差更悬殊.进一步运用全球班轮航线实际网络进行验证,得到两者结构特性基本相同.

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