中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2874-2880.doi: 10.1088/1674-1056/17/8/020

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An evolutionary model of urban bus transport network based on B-space

李 平1, 周 晶2, 陈星光2, 朱振涛3   

  1. (1)Department of Basic Sciences, Nanjing Institute of Technology, Nanjing 211167, China; (2)School of Management and Engineering, Nanjing University, Nanjing 210093, China; (3)School of Management and Engineering, Nanjing University, Nanjing 210093, China;School of Economics and Management, Nanjing Institute of Technology, Nanjing 211167, China
  • 收稿日期:2007-11-11 修回日期:2008-03-12 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 70571033) and the State Key Development Program for Basic Research of China (Grant No 2006CB705500).

An evolutionary model of urban bus transport network based on B-space

Zhu Zhen-Tao(朱振涛)a)b)†, Zhou Jing(周晶)a), Li Ping(李平)c), and Chen Xing-Guang(陈星光)a)   

  1. a School of Management and Engineering, Nanjing University, Nanjing 210093, China; b School of Economics and Management, Nanjing Institute of Technology, Nanjing 211167, China; c Department of Basic Sciences, Nanjing Institute of Technology, Nanjing 211167, China 
  • Received:2007-11-11 Revised:2008-03-12 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 70571033) and the State Key Development Program for Basic Research of China (Grant No 2006CB705500).

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摘要： In this paper, an evolutionary model of bus transport network in B-space is developed. It includes the effect of the overlapping ratio of new route on network performance and overcomes the disadvantage, i.e. lack of economic consideration, in the evolutionary bus transport network model in P-space proposed by Chen {\it et al} (2007). The degree distribution functions are derived by using the mean-field method and the master equation method, separately. The relationship between the new stop ratio of a route, $\lambda $, and the error in exponential of degree distribution function from the mean-field method is developed as ${\Delta}$Slope$=\lambda/(1 - \lambda ) + \ln (1 - \lambda)$. Finally, the bus transport networks of Hangzhou and Nanjing are simulated by using this model, and the results show that some characteristic index values of the simulated networks are closer to the empirical data than those from Chen's model.

关键词: complex networks, Urban bus transport network, B-space, master equation method

Abstract: In this paper, an evolutionary model of bus transport network in B-space is developed. It includes the effect of the overlapping ratio of new route on network performance and overcomes the disadvantage, i.e. lack of economic consideration, in the evolutionary bus transport network model in P-space proposed by Chen et al (2007). The degree distribution functions are derived by using the mean-field method and the master equation method, separately. The relationship between the new stop ratio of a route, $\lambda $, and the error in exponential of degree distribution function from the mean-field method is developed as ${\Delta}$Slope$=\lambda/(1 - \lambda ) + \ln (1 - \lambda)$. Finally, the bus transport networks of Hangzhou and Nanjing are simulated by using this model, and the results show that some characteristic index values of the simulated networks are closer to the empirical data than those from Chen's model.

Key words: complex networks, Urban bus transport network, B-space, master equation method

中图分类号:  (Land transportation)

  • 89.40.Bb
89.75.Hc (Networks and genealogical trees)