The Topological Analysis of Urban Transit System as a Small-World Network

References

• Wang , W. 2002 . Urban Transit Planning and Administration , Beijing : Science Press .
   Google Scholar
• Yang , Z. S. , Guan , Q. and Wang , Y. A Dynamic Route Planning Algorithm Based on Sedan Driver Characteristic . Proceedings of the 2006 IEEE International Conference on Vehicular Electronics and Safety, ICVES . pp. 17 – 21 .
   Google Scholar
• Albert , R. and Baraba'si , A. L. 2002 . Statistical Mechanics of Complex networks . Review of Modern Physics , 74 : 47 – 97 .
   Web of Science ®Google Scholar
• Baraba'si , A. L. and Albert , R. 1999 . Emergence of Scaling in Random Networks . Science , 286 : 509 – 512 .
   Google Scholar
• Watts , Duncan J. and Strogatz , Steven H. 1998 . Collective dynamics of small-world networks . Nature , 393
   Google Scholar
• Sen , P. 2003 . Small-world properties of the Indian railway network . Physical Review E , 67 : 036106
   PubMed Web of Science ®Google Scholar
• Wu , J. J. 2004 . Urban Transit as a Scale-free network . Modern Physics Letters B , 18 : 1043 – 1049 .
   Google Scholar
• Dorogovtsev , S. N. and Mendes , J. F. F. 2004 . The Shortest Path to Complex Networks . arXiv: cond-mat , V4 : 0404593
   Google Scholar
• Evan , T. S. Complex Networks . Contemporary Physics , 2004
   Google Scholar
• Newman , M. E. J. 2000 . Models of the Small World: A Review . arXiv: cond-mat , V29 : 0001118
   Google Scholar
• Wu , J. S. and DI , Z. R. 2004 . Complex Networks in Statistical Physics . Progress in physics , 24 : No. 1
   Google Scholar
• Sienkiewicz , Julian and Holyst , Janusz A. 2005 . Public transport systems in Poland . arXiv: physics , : 0503099
   Google Scholar
• Zhou , T. , Bai , W. J. and Wang , B. H. 2005 . A short review of complex networks . Physics , 34 ( 1 ) : 31 – 36 .
   Google Scholar
• Wu , J. J. , Gao , Z. Y. and Sun , H. J. 2006 . Complexity and efficiency of Beijing transit network . International Journal of Modern Physics B , 20 ( 15 ) : 2129 – 2136 .
   Google Scholar
• Zhao , J. S. , Di , Z. R. and Wang , D. H. 2005 . Empirical research on public transport network of Beijing . Complex Systems and Complexity Science , 2 ( 2 ) : 45 – 48 .
   Google Scholar
• Albert , R. , Jeong , H. and Baraba'si , A. L. 2000 . Error and attack tolerance of complex network . Nature , 406 : 378 – 382 .
   PubMed Web of Science ®Google Scholar
• Bell , M. G. H. 2000 . A game theory approach to measuring the performance reliability of transport network . Transportation Research Part B , 34 : 533 – 545 .
   Google Scholar
• Ezell , B. C. , Farr , J. V. and Wiese , I. 2000 . Infrastructure risk analysis model . Journal of Infrastructure Systems , 6 ( 3 ) : 114 – 117 .
   Google Scholar
• Seaton , Katherine A. and Hackett , Lisa M. 2005 . Stations trains and small-world network . Physica A , 339 ( 3 ) : 635 – 644 .
   Google Scholar
• Guillaume , Jean Loup and Latapy , Matthieu . 2004 . Bipartite graphs as models of complex networks . First Workshop on Combinatorial and Algorithmic Aspects of Networks , : 127 – 133 .
   Google Scholar
• Liping , Chen . 2005 . Efficiency of complex weighted networks – An example of Nanjing urban transit network, 2nd Prize Paper, “Challenge Cup” National Contest of College Students' Scientific and Technological Work
   Google Scholar
• Newman , M. E. J. , Watts , D. J. and Strogatz , S. H. 2002 . “ Random graph models of social networks ” . In Proceedings , Vol. 99 , 2566 – 2572 . USA : National Academy of Sciences . Sup pl. 1
   Google Scholar
• Cohen , R. , Erez , K. , Ben-Avraham , D. and Havlin , S. 2000 . Resilience of the Internet to Random Breakdowns . Phys. Rev. Lett. , 85 : 4626 – 4628 .
   PubMed Web of Science ®Google Scholar
• Gallos , L. K. , Cohen , R. , Argyrakis , P. , Bunde , A. and Havlin , S. 2005 . Stability and topology of scale-free networks under attack and defense strategies . Phys. Rev. Lett. , 94 : 188701
   Google Scholar
• Jenelius , E. , Petersen , T. and Mattson , L.-G. 2006 . Importance and exposure in road network vulnerability analysis . Transportation Research Part A , 40 ( 7 ) : 537 – 560 .
   Google Scholar
• Kurant , M. and Thiran , P. 2005 . Trainspotting: extraction and analysis of traffic and topologies of transportation networks . arXiv: physics , V2 : 0510151
   Google Scholar
• Latora , V. and Marchiori , M. 2001 . Efficient Behaviour of Small-World Networks . Phys. Rev. Lett. , 87 : 19
   Google Scholar
• Latora , V. and Marchiori , M. 2004 . How the science of complex networks can help developing strategies against terrorism . Chaos, Solitons and Fractals , 20 : 69 – 75 .
   Web of Science ®Google Scholar
• Latora , V. and Marchiori , M. 2005 . Vulnerability and protection of infrastructure networks . Phys. Rev. E , : 015103
   Google Scholar
• Nagurney , A. and Qiang , Q. 2007 . A transportation network efficiency measure that captures flows, behavior and costs with applications to network component importance identification and vulnerability . Proceedings of the POMS 18th annual conference . May 4th -7th 2007 , Dallas , USA.
   Google Scholar
• Schreuder , M. A. , Molenkamp , L. , Tamminga , G. F. and Kraan , M. E. 2007 . Vulnerability of a national road network . Proceedings of The Third Internationl Symposium on Transportation Network Reliability . July 19-20 2007 , The Hague , The Netherlands.
   Google Scholar
• Von Ferber , C. , Holovatch , T. and Holovath , Y. 2007 . Attack Vulnerability of Public Transport Networks . arXiv: physics , V1 : 07093206
   Google Scholar
• Watts , D. J. and Strogatz , S. H. 2006 . Collective dynamics of small world: networks . Nature , 393 : 440 – 442 .
   Google Scholar
• Zhang , Y. , Xiang , P. and Yang , X. 2007 . Error and attack tolerance topological analysis on urban road networks . Proceedings of The Third International Symposium on Transportation Network Reliability . July 19-20 2007 , The Hague , The Netherlands.
   Google Scholar
• Wang , X. F. and Chen , G. R. 2003 . Complex networks: small word, scale free and beyond . Circuits and Systems Magazine , 3 : 6 – 20 . IEEE
   Google Scholar
• Eubank , Stephen , Guclu , Hasan Anil Kumar , V. S. 2004 . Modeling disease outbreaks in realistic urban social networks . Nature , 429 : 180 – 184 .
   PubMed Web of Science ®Google Scholar
• Zhang , Y. , Jin , X. X. , Zhang , Y. and Yao , D. Y. 2007 . Topological Analysis of Urban Transit Networks Using Bipartite Graph Model . System Engineering-Theory & Practice , 07 : 022
   Google Scholar
• Ahmadizar , Fardin and Barzinpour , Farnaz . 2010 . A hybrid algorithm to minimize makespan for the permutation flow shop scheduling problem . International Journal of Computational Intelligence Systems , 3 ( 6 ) : 853 – 861 .
   Web of Science ®Google Scholar
• Lopez , Victoria , Santos , Matilde and Montero , Javier . 2010 . Fuzzy Specification in Real Estate Market Decision Making . International Journal of Computational Intelligence Systems , 3 ( 1 ) : 8 – 20 .
   Web of Science ®Google Scholar
• Wang , Wuhong , Jiang , Xiaobei , Xia , Shuangcheng and Cao , Qi . 2010 . Incident tree model and incident tree analysis method for quantified risk assessment:an in-depth accident study in traffic operation . Safety Science , 48 ( 10 ) : 1248 – 1262 .
   Web of Science ®Google Scholar
• Wang , Wuhong , Zhang , Wei , Guo , Hongwei , Bubb , Heiner and Ikeuchi , Katsushi . A safety-based behavioural approaching model with various driving characteristics . Transportation Research Part C-Emerging Technologies , doi:10.1016/j.trc. 2011.02.002
   Web of Science ®Google Scholar
• Wang , Wuhong , Cao , Qi , Ikeuchi , Katsushi and Bubb , Heiner . 2010 . Reliability and safety analysis methodology for identification of drivers' erroneous actions . International Journal of Automotive Technology , 11 ( 6 ) : 873 – 881 .
   Web of Science ®Google Scholar
• Wang , Wuhong , Hou , Fuguo , Tan , Huachun and Bubb , Heiner . 2010 . A framework for function allocation in intelligent driver interface design for comfort and safety . International Journal of Computational Intelligence Systems , 3 ( 5 ) : 531 – 541 .
   Web of Science ®Google Scholar