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Application of Complex Networks Theory in Urban Traffic Network Researches

Author

Listed:
  • Rui Ding

    (Guizhou University of Finance and Economics)

  • Norsidah Ujang

    (Universiti Putra Malaysia)

  • Hussain Bin Hamid

    (Universiti Putra Malaysia)

  • Mohd Shahrudin Abd Manan

    (Universiti Putra Malaysia)

  • Rong Li

    (Beijing Jiaotong University)

  • Safwan Subhi Mousa Albadareen

    (Universiti Putra Malaysia)

  • Ashkan Nochian

    (Universiti Putra Malaysia)

  • Jianjun Wu

    (Beijing Jiaotong University)

Abstract

Complex network theory is a multidisciplinary research direction of complexity science which has experienced a rapid surge of interest over the last two decades. Its applications in land-based urban traffic network studies have been fruitful, but have suffered from the lack of a systematic cognitive and integration framework. This paper reviews complex network theory related knowledge and discusses its applications in urban traffic network studies in several directions. This includes network representation methods, topological and geographical related studies, network communities mining, network robustness and vulnerability, big-data-based research, network optimization, co-evolution research and multilayer network theory related studies. Finally, new research directions are pointed out. With these efforts, this physics-based concept will be more easily and widely accepted by urban traffic network planners, designers, and other related scholars.

Suggested Citation

  • Rui Ding & Norsidah Ujang & Hussain Bin Hamid & Mohd Shahrudin Abd Manan & Rong Li & Safwan Subhi Mousa Albadareen & Ashkan Nochian & Jianjun Wu, 2019. "Application of Complex Networks Theory in Urban Traffic Network Researches," Networks and Spatial Economics, Springer, vol. 19(4), pages 1281-1317, December.
  • Handle: RePEc:kap:netspa:v:19:y:2019:i:4:d:10.1007_s11067-019-09466-5
    DOI: 10.1007/s11067-019-09466-5
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    as
    1. Zheng, Jian-Feng & Gao, Zi-You & Zhao, Xiao-Mei, 2007. "Properties of transportation dynamics on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 837-844.
    2. David Levinson & Bhanu Yerra, 2006. "Self-Organization of Surface Transportation Networks," Transportation Science, INFORMS, vol. 40(2), pages 179-188, May.
    3. César Ducruet & Laurent Beauguitte, 2014. "Network science and spatial science : Review and outcomes of a complex relationship," Post-Print hal-03246947, HAL.
    4. Zhong-Yuan Jiang & Man-Gui Liang & Shuai Zhang & Weixing Zhou & Huiqin Jin, 2013. "Enhancing Traffic Capacity Of Two-Layer Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(08), pages 1-10.
    5. Alexander Erath & Michael Löchl & Kay Axhausen, 2009. "Graph-Theoretical Analysis of the Swiss Road and Railway Networks Over Time," Networks and Spatial Economics, Springer, vol. 9(3), pages 379-400, September.
    6. Balijepalli, Chandra & Oppong, Olivia, 2014. "Measuring vulnerability of road network considering the extent of serviceability of critical road links in urban areas," Journal of Transport Geography, Elsevier, vol. 39(C), pages 145-155.
    7. Zhang, Jianhua & Wang, Shuliang & Wang, Xiaoyuan, 2018. "Comparison analysis on vulnerability of metro networks based on complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 72-78.
    8. Peter Widhalm & Yingxiang Yang & Michael Ulm & Shounak Athavale & Marta González, 2015. "Discovering urban activity patterns in cell phone data," Transportation, Springer, vol. 42(4), pages 597-623, July.
    9. Soh, Harold & Lim, Sonja & Zhang, Tianyou & Fu, Xiuju & Lee, Gary Kee Khoon & Hung, Terence Gih Guang & Di, Pan & Prakasam, Silvester & Wong, Limsoon, 2010. "Weighted complex network analysis of travel routes on the Singapore public transportation system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5852-5863.
    10. Bhanu Yerra & David Levinson, 2005. "The emergence of hierarchy in transportation networks," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 39(3), pages 541-553, September.
    11. Cao, Xian-Bin & Hong, Chen & Du, Wen-Bo & Zhang, Jun, 2013. "Improving the network robustness against cascading failures by adding links," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 35-40.
    12. William L. Garrison & Duane F. Marble, 1964. "Factor‐Analytic Study Of The Connkctivity Of A Transportation Network," Papers in Regional Science, Wiley Blackwell, vol. 12(1), pages 231-238, January.
    13. M.-B. Hu & R. Jiang & Y.-H. Wu & W.-X. Wang & Q.-S. Wu, 2008. "Urban traffic from the perspective of dual graph," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(1), pages 127-133, May.
    14. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
    15. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    16. Angeloudis, Panagiotis & Fisk, David, 2006. "Large subway systems as complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 553-558.
    17. Marc Barthélemy & Alessandro Flammini, 2009. "Co-evolution of Density and Topology in a Simple Model of City Formation," Networks and Spatial Economics, Springer, vol. 9(3), pages 401-425, September.
    18. Daganzo, Carlos F., 2010. "Structure of competitive transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 434-446, May.
    19. Ding, Rui & Ujang, Norsidah & Hamid, Hussain bin & Manan, Mohd Shahrudin Abd & Li, Rong & Wu, Jianjun, 2017. "Heuristic urban transportation network design method, a multilayer coevolution approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 71-83.
    20. Wang, Shiguang & Zheng, Lili & Yu, Dexin, 2017. "The improved degree of urban road traffic network: A case study of Xiamen, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 256-264.
    21. Jiang, Bin, 2007. "A topological pattern of urban street networks: Universality and peculiarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 647-655.
    22. César Ducruet & Laurent Beauguitte, 2014. "Spatial Science and Network Science: Review and Outcomes of a Complex Relationship," Networks and Spatial Economics, Springer, vol. 14(3), pages 297-316, December.
    23. Rui Ding & Norsidah Ujang & Hussain bin Hamid & Jianjun Wu, 2015. "Complex Network Theory Applied to the Growth of Kuala Lumpur’s Public Urban Rail Transit Network," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-22, October.
    24. Doménech, Antonio, 2009. "A topological phase transition between small-worlds and fractal scaling in urban railway transportation networks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4658-4668.
    25. A. P. Masucci & D. Smith & A. Crooks & M. Batty, 2009. "Random planar graphs and the London street network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 259-271, September.
    26. Wang, Fahui & Antipova, Anzhelika & Porta, Sergio, 2011. "Street centrality and land use intensity in Baton Rouge, Louisiana," Journal of Transport Geography, Elsevier, vol. 19(2), pages 285-293.
    27. S. Scellato & A. Cardillo & V. Latora & S. Porta, 2006. "The backbone of a city," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 221-225, March.
    28. J. Buhl & J. Gautrais & N. Reeves & R. V. Solé & S. Valverde & P. Kuntz & G. Theraulaz, 2006. "Topological patterns in street networks of self-organized urban settlements," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(4), pages 513-522, February.
    29. Yang, Xu-Hua & Wang, Bo & Chen, Sheng-Yong & Wang, Wan-Liang, 2012. "Epidemic dynamics behavior in some bus transport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 917-924.
    30. Jianjun Wu & Mingtao Xu & Ziyou Gao, 2014. "Modeling The Coevolution Of Road Expansion And Urban Traffic Growth," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 1-18.
    31. Latora, Vito & Marchiori, Massimo, 2002. "Is the Boston subway a small-world network?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 109-113.
    32. Wang, Shiguang & Yu, Dexin & Lin, Ciyun & Shang, Qiang & Lin, Yu, 2018. "How to connect with each other between roads? An empirical study of urban road connection properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 775-787.
    33. Marchiori, Massimo & Latora, Vito, 2000. "Harmony in the small-world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(3), pages 539-546.
    34. Xu, Xinping & Hu, Junhui & Liu, Feng & Liu, Lianshou, 2007. "Scaling and correlations in three bus-transport networks of China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 441-448.
    35. Zhong-Yuan Jiang, 2014. "An incremental optimal routing strategy for scale-free networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(09), pages 1-11.
    36. Zhang, Jianhua & Zhao, Mingwei & Liu, Haikuan & Xu, Xiaoming, 2013. "Networked characteristics of the urban rail transit networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1538-1546.
    37. Feng Xie & David Levinson, 2009. "Modeling the Growth of Transportation Networks: A Comprehensive Review," Networks and Spatial Economics, Springer, vol. 9(3), pages 291-307, September.
    38. Ding, Rui & Ujang, Norsidah & Hamid, Hussain bin & Manan, Mohd Shahrudin Abd & He, Yuou & Li, Rong & Wu, Jianjun, 2018. "Detecting the urban traffic network structure dynamics through the growth and analysis of multi-layer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 800-817.
    39. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    40. Yu Liu & Zhengwei Sui & Chaogui Kang & Yong Gao, 2014. "Uncovering Patterns of Inter-Urban Trip and Spatial Interaction from Social Media Check-In Data," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-11, January.
    41. Michael A. P. Taylor, 2008. "Critical Transport Infrastructure in Urban Areas: Impacts of Traffic Incidents Assessed Using Accessibility‐Based Network Vulnerability Analysis," Growth and Change, Wiley Blackwell, vol. 39(4), pages 593-616, December.
    42. Gong, Hang & He, Kun & Qu, Yingchun & Wang, Pu, 2016. "Analysis and improvement of vehicle information sharing networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 452(C), pages 106-112.
    43. Michael Taylor & Somenahalli Sekhar & Glen D'Este, 2006. "Application of Accessibility Based Methods for Vulnerability Analysis of Strategic Road Networks," Networks and Spatial Economics, Springer, vol. 6(3), pages 267-291, September.
    44. David Levinson, 2008. "Density and dispersion: the co-development of land use and rail in London," Journal of Economic Geography, Oxford University Press, vol. 8(1), pages 55-77, January.
    45. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo & Rapisarda, Andrea, 2003. "Efficiency of scale-free networks: error and attack tolerance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 622-642.
    46. Claes Andersson & Koen Frenken & Alexander Hellervik, 2006. "A Complex Network Approach to Urban Growth," Environment and Planning A, , vol. 38(10), pages 1941-1964, October.
    47. M. T. Gastner & M. E.J. Newman, 2006. "The spatial structure of networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(2), pages 247-252, January.
    48. Lämmer, Stefan & Gehlsen, Björn & Helbing, Dirk, 2006. "Scaling laws in the spatial structure of urban road networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 89-95.
    49. Sybil Derrible, 2012. "Network Centrality of Metro Systems," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-10, July.
    50. Petter Holme, 2003. "Congestion And Centrality In Traffic Flow On Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 163-176.
    51. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    52. Du, Wen-Bo & Zhou, Xing-Lian & Chen, Zhen & Cai, Kai-Quan & Cao, Xian-Bin, 2014. "Traffic dynamics on coupled spatial networks," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 72-77.
    53. Sybil Derrible & Christopher Kennedy, 2011. "Applications of Graph Theory and Network Science to Transit Network Design," Transport Reviews, Taylor & Francis Journals, vol. 31(4), pages 495-519.
    54. Gao, Ziyou & Wu, Jianjun & Sun, Huijun, 2005. "Solution algorithm for the bi-level discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 39(6), pages 479-495, July.
    55. Tang, Jinjun & Wang, Yinhai & Wang, Hua & Zhang, Shen & Liu, Fang, 2014. "Dynamic analysis of traffic time series at different temporal scales: A complex networks approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 303-315.
    56. Shuai Zhang & Man-Gui Liang & Zhong-Yuan Jiang & Hui-Jia Li, 2015. "Improved efficient static weighted routing strategy on two-layer complex networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(01), pages 1-13.
    57. Fangxia Zhao & Jianjun Wu & Huijun Sun & Ziyou Gao & Ronghui Liu, 2016. "Population-driven Urban Road Evolution Dynamic Model," Networks and Spatial Economics, Springer, vol. 16(4), pages 997-1018, December.
    58. William L. Garrison, 1960. "Connectivity Of The Interstate Highway System," Papers in Regional Science, Wiley Blackwell, vol. 6(1), pages 121-137, January.
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