基于预期流优化的空间网络引力模型  

Gravity model for spatial network based on optimal expected traffic

作　　者：钱江海[1] 韩定定[1] 

机构地区：[1]华东师范大学信息科学技术学院通信工程系,上海200241

出　　处：《物理学报》2009年第5期3028-3033,共6页Acta Physica Sinica

基　　金：上海科学技术发展基金(批准号:06JC14082;05XD14021)资助的课题~~

摘　　要：从优化预期流的角度提出了一个空间网络模型,其构建目标是使得整个网络的预期流总和最大化.通过改变表征网络对节点适应度和对地理因素依赖程度的两个参数α和γ的取值,网络的拓扑可从异质的星形类网络逐渐演变成同质的类似道路网的网络.利用所提出的引力模型仿真了中国城市航空网,并将其统计特征与实际网络进行了比较.最后,讨论了预期流和实际流(网络中实际的边权)之间的关系.In this paper, we propose a spatial network model based on the optimal expected traffic. The model maximizes the total expected traffic of the network. By changing two parameters α and γ which represent the dependence of the network on the fitness and geographical constraints respectively, the model can vary its topology from heterogeneous star-like networks to homogeneous road-like networks. We use our model to simulate the Chinese city airline network and compare it with the real data. In the end of the paper, we discuss the relationship of the expected and the real traffic （namely the real weight on the network） .

关 键 词：空间网络 预期流 引力 中国城市航空网 

分 类 号：O157.5[理学—数学]