一类新的双层耦合公交网络模型

交通运输系统工程与信息 ›› 2016, Vol. 16 ›› Issue (4): 131-138.

一类新的双层耦合公交网络模型

杜文举^a，李引珍*^a，安新磊^b，马昌喜^a

兰州交通大学a. 交通运输学院；b. 数理学院，兰州730070

收稿日期:2015-11-18 修回日期:2016-03-10 出版日期:2016-08-25 发布日期:2016-08-26
作者简介:杜文举（1987-），男，甘肃西和人，博士生.
基金资助:
国家自然科学基金/National Natural Science Foundation of China（61164003，51408288）

A New Class of Two Layers Public Traffic Coupled Network Model

DUWen-ju^a, LI Yin-zhen^a, AN Xin-lei^b, MAChang-Xi^a

a. School of Traffic and Transportation; b. School of Mathematics and Physics，Lanzhou Jiaotong University，Lanzhou 730070，China

Received:2015-11-18 Revised:2016-03-10 Online:2016-08-25 Published:2016-08-26

摘要/Abstract

摘要：

为了研究城市公共交通网络的动态特征，本文在现有公交网络模型的基础上，运用space P方法和space R方法分别建立了公交换乘网络和公交线路网络.然后将这两个网络作为子网络，并通过换乘网络中停靠站点和线路网络中的公交线路之间的联系构建了一类新的双层耦合公交网络模型.该模型能够很好地反映出行乘客与公交运营车辆之间的联系.基于耦合网络的同步理论，以非线性Lorenz 系统为网络的节点，研究了双层耦合公交网络的同步问题.最后，采用Matlab 仿真技术分析了公交运营中的人为调度、公交线路之间公共停靠站点的数目，以及站点之间的可达性对双层耦合公交网络平衡的影响.

关键词: 城市交通, 耦合复杂网络, 复杂网络同步, 双层耦合公交网络, 平衡性

Abstract:

In order to study the dynamic characteristics of urban public traffic network，this paper establishes the transfer network and bus lines network by respectively using the method of space P and space R based on the existing public traffic network model. Then regard these two networks as the sub-network，a new two layers public traffic coupled network is presented through the connection between the bus stops and bus lines，and this model can well reflect the connection between the passengers and bus operating vehicles. Based on the synchronization theory of coupling network and taking“Lorenz system”as the network node， the paper studies the ynchronization of two layers public traffic coupled network. Finally，numerical results are given to show the impact of public traffic dispatching，the number of common bus stops between bus lines and the accessibility between bus stops to the two layers public traffic coupled network balance through Matlab simulation.

Key words: urban traffic, coupled complex networks, complex network synchronization, two layers public traffic coupled network, balance

中图分类号:

U121
TP391

杜文举，李引珍，安新磊，马昌喜. 一类新的双层耦合公交网络模型[J]. 交通运输系统工程与信息, 2016, 16(4): 131-138.

DUWen-ju, LI Yin-zhen, AN Xin-lei, MAChang-Xi. A New Class of Two Layers Public Traffic Coupled Network Model[J]. Journal of Transportation Systems Engineering and Information Technology, 2016, 16(4): 131-138.

导出引用管理器 EndNote|Ris|BibTeX

链接本文: http://www.tseit.org.cn/CN/abstract/abstract19230.shtml

http://www.tseit.org.cn/CN/Y2016/V16/I4/131

参考文献

[1] GU C G，ZOU S R，XU X L，et al. Onset of cooperation between layered networks[J]. Phys. Rev. E，2011，84 (2): 026101.

[2] 李凯军，顾长贵，瞿艳青，等. 一些实际双层网络之间的合作涌现[J]. 复杂系统与复杂性科学，2012，9(2): 79-82. [LI K J，GU C G，QU Y Q，et al. Onset of cooperation in some real world layered networks[J]. Complex Systems and Complexity Science，2012，9(2): 79-82.]

[3] 沈迪，李建华，熊金石，等. 一种基于介数的双层复杂网络级联失效模型[J]. 复杂系统与复杂性科学， 2014，11(3):12-18. [SHEN D，LI J H，XIONG J S， et al. A cascading failure model of double layer complex networks based on betweenness[J]. Complex Systems and Complexity Science，2014，11(3):12-18.]

[4] 于凯. 双层耦合网络上的信息传播模型研究[D].大连: 大连理工大学，2015. [YU K. Research on information spreading model on bilayer coupled networks[D]. Dalian University of Technology，2015.]

[5] 王佳，符卓. 双层城市公交网络设计及优化方法研究[J]. 计算机工程与应用，2012，48（36）：1-8. [WANG J，FU Z. Research on design and optimummethod of double-layer urban transit network[J]. Computer Engineering and Applications，2012，48(36): 1-8.]

[6] 董有郁. 基于双层网络模型的公交网络通行能力和级联故障研究[D]. 浙江：浙江工业大学，2014. [DONG Y Y. Research on traffic capacity and cascading failure of bus transport network based on layered model[D]. Zhejiang University of Technology，2014.]

[7] 陈光. 空间复杂网络分析、优化及其在城市公交网络中的应用研究[D]. 浙江: 浙江工业大学，2014. [CHEN G. Research on the analysis and optimization of spatial complex networks and its application in urban public bus networks[D]. Zhejiang University of Technology，2014.]

[8] 罗艺，钱大琳. 公交—地铁复合网络构建及网络特性分析[J]. 交通运输系统工程与信息，2015，15(5):39- 44. [LUO Y，QIAN D L. Construction of subway and bus transport networks and analysis of the network topology characteristics[J]. Journal of Transportation Systems Engineering and Information Technology， 2015，15(5):39-44.]

[9] M XU，A CEDER，Z GAO，et al. Mass transit systems of Beijing: governance evolution and analysis[J]. Transportation，2010，37(5):709-729.

[10] WANG B，WANG W L，YANG X H. An optimal bus transport transfer algorithm based on weighted complex networks[J]. Journal of Wuhan University of Technology，2008，32(6):1113-1116.

[11] HUI W， WANG H. Empirical analysis of complex networks in public traffic networks[J]. Computer Technology and Development，2008，18(11):217-222.

[12] ZHAO L，DENG M，WANG J Q，et al. Structural property analysis of urban street networks based on complex network theory[J]. Geography and Geo- Information Science，2010，26(5):11-15.

[13] 吴建军，高自友，孙会君，等.城市交通系统复杂性— 复杂网络方法及其应用[M]. 北京:科学出版社，2010. [WU J J，GAO Z Y，SUN H J，et al. Urban traffic system complexity- The method of complex networks and its application [M]. Beijing: Science Press，2010.]

[14] 吴建军，李树彬.基于复杂网络的城市交通系统复杂性概述[J]. 山东科学，2009，22(4):68-73. [WU J J，LI S B. Review of complexities for urban traffic system based on complex network[J]. Shandong Science，2009， 22(4):68-73.]

[15] H K KHALIL. Nonlinear systems[M]. 2nd Edition， Upper Saddle River: Prentice-Hall，1996.

[16] ZHAO J S，DI Z R，WANG D H. Empirical research on public transport network of Beijing[J]. Complex Systems and Complexity Science，2005，2(2):45-48.

[17] CHANG M，MA S F. Empirical analysis for public transit networks in Chinese cities[J]. Journal of Systems Engineering，22 (2007)，412-418.

[18] 安新磊，李引珍，马昌喜. 一种新的多重边复杂公交网络模型[J]. 交通运输系统工程与信息，2014，13(3):1- 9. [AN X L，LI Y Z，MA C X. Public traffic network modeling with multi-links[J]. Journal of Transportation Systems Engineering and Information Technology， 2014，13(3):1-9.] 138