系统仿真学报 ›› 2018, Vol. 30 ›› Issue (4): 1369-1375.doi: 10.16182/j.issn1004731x.joss.201804019

• 仿真应用工程 • 上一篇    下一篇

空铁复合网络双阶段变式演化模型及仿真

徐凤1,2, 朱金福2, 苗建军2, 丁蓉蓉2   

  1. 1. 南京交通职业技术学院,江苏 南京 211188;
    2. 南京航空航天大学,江苏 南京 210016
  • 收稿日期:2016-05-09 修回日期:2016-10-18 出版日期:2018-04-08 发布日期:2019-01-04
  • 作者简介:徐凤(1981-),女,江苏徐州,博士,副教授,研究方向为交通运输规划与管理。
  • 基金资助:
    国家自然科学基金(71171111, 71201081),教育部人文社会科学研究规划基金(15YJA790046),南京交院科研重点项目(JR1603)

Simulation of Two Stages-Variant Growth Evolution Model of High-speed Railway and Civil Aviation Compound Network

Xu Feng1,2, Zhu Jinfu2, Miao Jianjun2, Ding Rongrong2   

  1. 1. Nanjing Communications Institute of Technology, Nanjing 211188, China;
    2. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2016-05-09 Revised:2016-10-18 Online:2018-04-08 Published:2019-01-04

摘要: 针对空铁复合网络演化的特殊性,提出可调参数的双阶段变式演化模型,通过数值仿真验证了模型的合理性。模型将复合网络的演化分为单点式单一增长和变式交替增长两个阶段,通过改变参数值控制两个子网随机交替增长演化的概率,以调节复合网络演化的节奏和规模。仿真实验结果表明:在不同参数组合下,复合网络的点度分布均呈现截尾幂律分布,节点平均集群系数具有随节点度下降的幂律特性,与实证分析结果相吻合。模型较好地刻画了空铁复合网络的演化机制,对其他复合网络的演化研究也可以提供借鉴与参考。

关键词: 复杂网络, 空铁复合网络, 双阶段变式演化, 仿真实验

Abstract: Combining the special evolving characteristics of the high-speed railway and civil aviation compound network, an evolution model which has two stages with variant growth mechanism and variable parameters is constructed, and the rationality of the model is verified through mathematical simulation. The model divides the evolutionary process into two stages: the stage of single-point growth pattern, and the stage of variant and alternant growth pattern. The probability of two sub-networks’ random and commutative growth could be controlled by changing the parameters’ values, and then the evolving rhythm and scale of the compound network could be adjusted. The simulation results indicate the truncated power law degree distribution, the negative and power law relationship in clustering factor-degree correlation with the different variable parameters, which matches the results in the empirical compound network studies. The evolving growth mechanisms of the compound network are well depicted, and this evolution model could offer some references for researches on other compound networks’ evolution.

Key words: complex networks, high-speed railway and airline compound network, two-stage evolution with variant growth mechanism, simulation experiment

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