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.
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References
Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms, and applications
Albert R, Albert I, Nakarado GL (2004) Structural vulnerability of the North American power grid. Phys Rev E 69(2):025103
Albert R, Barabási A-L (2002) Statistical mechanics of complex networks. Rev Mod Phys 74(1):47
Albert R, Jeong H, Barabási A-L (2000) Error and attack tolerance of complex networks. Nature 406(6794):378–382
Albert S-R, Sergio G, Alex A (2016) Congestion induced by the structure of multiplex networks. Phys Rev Lett 116(10):108701
Aleta A, Meloni S, Moreno Y (2016) A multilayer perspective for the analysis of urban transportation systems. arXiv preprint arXiv:1607.00072
Andersson C, Frenken K, Hellervik A (2006) A complex network approach to urban growth. Environ Plan A 38(10):1941–1964
Angeloudis P, Fisk D (2006) Large subway systems as complex networks. Physica A: Statistical Mechanics and its Applications 367:553–558
Balijepalli C, Oppong O (2014) Measuring vulnerability of road network considering the extent of serviceability of critical road links in urban areas. J Transp Geogr 39:145–155
Barabasi A-L, Albert R (1999) Emergence of scaling in random networks. Science 286(5439):509–512
Barthelemy M (2011) Spatial networks. Phys Rep 499(1-3):1–101. https://doi.org/10.1016/j.physrep.2010.11.002
Barthelemy M (2018) Morphogenesis of spatial networks. Berlin, Germany: Springer International Publishing
Barthelemy M, Flammini A (2006) Optimal traffic networks. Journal of Statistical Mechanics: Theory and Experiment 2006(07):L07002
Barthelemy M, Flammini A (2008) Modeling urban street patterns. Phys Rev Lett 100(13):138702
Barthelemy M, Flammini A (2009) Co-evolution of density and topology in a simple model of city formation. Netw Spat Econ 9(3):401–425
Batty, M. (2007). Cities and complexity: understanding cities with cellular automata, agent-based models, and fractals: The MIT press, Cambridge
Batty M (2012) Building a science of cities. Cities 29:S9–S16. https://doi.org/10.1016/j.cities.2011.11.008
Batty M (2013) The new science of cities: MIT Press, Cambridge
Berge C (1962) The theory of graphs and its applications. Bulletin of Mathematical Biophysics 24(4):441–443
Boccaletti S, Bianconi G, Criado R, del Genio CI, Gómez-Gardeñes J, Romance M et al (2014) The structure and dynamics of multilayer networks. Phys Rep 544(1):1–122. https://doi.org/10.1016/j.physrep.2014.07.001
Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D (2006) Complex networks: Structure and dynamics. Phys Rep 424(4-5):175–308. https://doi.org/10.1016/j.physrep.2005.10.009
Boeing G (2017) A multi-scale analysis of 27,000 urban street networks
Bracey HE (1956) A rural component of centrality applied to six southern counties in the United Kingdom. Econ Geogr 32(1):38–50
Buhl J, Gautrais J, Reeves N, Solé R, Valverde S, Kuntz P, Theraulaz G (2006) Topological patterns in street networks of self-organized urban settlements. The European Physical Journal B-Condensed Matter and Complex Systems 49(4):513–522
Buldyrev SV, Parshani R, Paul G, Stanley HE, Havlin S (2010) Catastrophic cascade of failures in interdependent networks. Nature 464(7291):1025–1028
Cao X-B, Hong C, Du W-B, Zhang J (2013) Improving the network robustness against cascading failures by adding links. Chaos, Solitons Fractals 57:35–40
Chan J (2007) Rail transit OD matrix estimation and journey time reliability metrics using automated fare data. Massachusetts Institute of Technology, Cambridge
Chen A, Kim J, Lee S, Kim Y (2010) Stochastic multi-objective models for network design problem. Expert Syst Appl 37(2):1608–1619
Chen J, Chang Z (2015) Rethinking urban green space accessibility: Evaluating and optimizing public transportation system through social network analysis in megacities. Landsc Urban Plan 143:150–159
Chen D, Huang X, Wang D, Jia L (2014) Public transit hubs identification based on complex networks theory. IETE Technical Review 31(6):440–451
Chen J, Yang D (2013) Estimating Smart Card Commuters Origin-Destination Distribution Based on APTS Data. Journal of Transportation Systems Engineering & Information Technology 13(4):47–53
Chorley, R. J. H. (1967). Models in geography
Crucitti P, Latora V, Marchiori M (2004a) Model for cascading failures in complex networks. Phys Rev E 69(4):045104
Crucitti P, Latora V, Marchiori M, Rapisarda A (2003) Efficiency of scale-free networks: error and attack tolerance. Physica A: Statistical Mechanics and its Applications 320:622–642
Crucitti P, Latora V, Marchiori M, Rapisarda A (2004b) Error and attack tolerance of complex networks. Physica A: Statistical Mechanics and its Applications 340(1-3):388–394. https://doi.org/10.1016/j.physa.2004.04.031
Crucitti P, Latora V, Porta S (2006) Centrality in networks of urban streets. Chaos: An Interdisciplinary Journal of Nonlinear Science 16(1):015113
Curtis C, Scheurer J (2009) Network city activity centres Developing an Analysis, Conception and Communication Tool for Integrated Land Use and Transport Planning in the Perth Metropolitan Area. Department of Planning and Infrastructure (DPI) and Curtin University of Technology, Perth
Curtis C, Scheurer J (2010) Planning for sustainable accessibility: Developing tools to aid discussion and decision-making. Prog Plan 74(2):53–106
Daganzo CF (2010) Structure of competitive transit networks. Transp Res B Methodol 44(4):434–446
de Arruda HF, Comin CH, da Fontoura Costa L (2016) Minimal paths between communities induced by geographical networks. Journal of Statistical Mechanics: Theory and Experiment 2016(2):023403
Derrible S (2012) Network centrality of metro systems. PLoS One 7(7):e40575
Derrible S, Kennedy C (2010a) Characterizing metro networks: state, form, and structure. Transportation 37(2):275–297
Derrible S, Kennedy C (2010b) Evaluating, Comparing, and Improving Metro Networks: Application to Plans for Toronto, Canada. Transportation Research Record: Journal of the Transportation Research Board 2146:43–51
Derrible S, Kennedy C (2011) Applications of graph theory and network science to transit network design. Transp Rev 31(4):495–519
Ding R, Ujang N, Bin Hamid H, Manan MSA, He Y, Li R, Wu J (2018) Detecting the urban traffic network structure dynamics through the growth and analysis of multi-layer networks. Physica A: Statistical Mechanics and its Applications 503:800–817
Ding R, Ujang N, Bin Hamid H, Manan MSA, Li R, Wu J (2017) Heuristic urban transportation network design method, a multilayer coevolution approach. Physica A: Statistical Mechanics and its Applications 479:71–83
Ding R, Ujang N, Bin Hamid H, Wu J (2015) Complex Network Theory Applied to the Growth of Kuala Lumpur’s Public Urban Rail Transit Network. PLoS One 10(10):e0139961
Dolev S, Elovici Y, Puzis R (2010) Routing betweenness centrality. Journal of the ACM (JACM) 57(4):25
Domenech A (2009) A topological phase transition between small-worlds and fractal scaling in urban railway transportation networks? Physica A: Statistical Mechanics and its Applications 388(21):4658–4668
Donetti L (2004) Detecting network communities: a new systematic and efficient algorithm. Journal of Statistical Mechanics: Theory and Experiment 2004(10):P10012
Du W-B, Zhou X-L, Chen Z, Cai K-Q, Cao X-B (2014) Traffic dynamics on coupled spatial networks. Chaos, Solitons Fractals 68:72–77
Du W-B, Zhou X-L, Jusup M, Wang Z (2016) Physics of transportation: Towards optimal capacity using the multilayer network framework. Sci Rep 6:19059
Ducruet C, Beauguitte L (2014) Spatial science and network science: review and outcomes of a complex relationship. Netw Spat Econ 14(3-4):297–316
Ducruet C, Lugo I (2013) Cities and Transport Networks in Shipping and Logistics Research. Asian Journal of Shipping & Logistics 29(2):145–166
Dwivedi A, Yu X (2013) A maximum-flow-based complex network approach for power system vulnerability analysis. IEEE Transactions on Industrial Informatics 9(1):81–88
Dwivedi A, Yu X, Sokolowski P (2010) Analyzing power network vulnerability with maximum flow based centrality approach. Paper presented at the 2010 8th IEEE International Conference on Industrial Informatics
Eisenstat D (2011) Random Road Networks: The Quadtree Model. Paper presented at the ANALCO
Eladaway I (2014) Analyzing traffic layout using dynamic social network analysis. Traffic Congestion
Erath A, Löchl M, Axhausen KW (2009) Graph-theoretical analysis of the Swiss road and railway networks over time. Netw Spat Econ 9(3):379–400
Erdos P, Renyi A (1960) On the evolution of random graphs. Publ Math Inst Hung Acad Sci 5(17-61):43
Expert P, Evans TS, Blondel VD, Lambiotte R (2011) Uncovering space-independent communities in spatial networks. Proc Natl Acad Sci 108(19):7663–7668
Freeman LC (1977) A set of measures of centrality based on betweenness. Sociometry:35–41. https://doi.org/10.2307/3033543
Frumin M, Zhao J (2012) Analyzing passenger incidence behavior in heterogeneous transit services using smartcard data and schedule-based assignment. Transportation Research Record: Journal of the Transportation Research Board 2274:52–60
Gallotti R, Bazzani A, Rambaldi S, Barthelemy M (2015) How transportation hierarchy shapes human mobility. arXiv preprint arXiv:1509.03752
Gao S, Wang Y, Gao Y, Liu Y (2013) Understanding urban traffic-flow characteristics: a rethinking of betweenness centrality. Environment and Planning B: Planning and design 40(1):135–153
Gao Z, Wu J, Sun H (2005) Solution algorithm for the bi-level discrete network design problem. Transp Res B Methodol 39(6):479–495. https://doi.org/10.1016/j.trb.2004.06.004
Gao Z, Zhao X, Huang H-J, Mao B (2006) Research on problems related to complex networks and urban traffic systems. Journal of Transportation Systems Engineering and Information Technology 6(3):41–47
Garrison WL (1960) Connectivity of the interstate highway system. Pap Reg Sci 6(1):121–137
Garrison WL, Marble DF (1961) The structure of transportation networks. Transportation Center at Northwestern University, Newport News
Garrison WL, Marble DF (1964) Factor-analytic study of the connkctivity of a transportation network*. Pap Reg Sci 12(1):231–238. https://doi.org/10.1111/j.1435-5597.1964.tb01269.x
Gastner MT, Newman ME (2006) The spatial structure of networks. The European Physical Journal B-Condensed Matter and Complex Systems 49(2):247–252
Gattuso D, Miriello E (2005) Compared analysis of metro networks supported by graph theory. Netw Spat Econ 5(4):395–414
Gleyze J-F (2013) Topological clustering for geographical networks Methods for Multilevel Analysis and Visualisation of Geographical Networks (pp. 33-53), Springer
Gong H, He K, Qu Y, Wang P (2016) Analysis and improvement of vehicle information sharing networks. Physica A: Statistical Mechanics and its Applications 452:106–112
Gu C-G, Zou S-R, Xu X-L, Qu Y-Q, Jiang Y-M, Liu H-K, Zhou T (2011) Onset of cooperation between layered networks. Phys Rev E 84(2):026101
Gutierrez-Jarpa G, Laporte G, Marianov V, Moccia L (2017) Multi-objective rapid transit network design with modal competition: The case of Concepción, Chile. Comput Oper Res 78:27–43
Gutierrez-Jarpa G, Obreque C, Laporte G, Marianov V (2013) Rapid transit network design for optimal cost and origin–destination demand capture. Comput Oper Res 40(12):3000–3009
Haggett P, Chorley RJ (1969) Network analysis in geography. Edward Arnold, London
Haggett P, Cliff AD, Frey A (1977) Locational analysis in human geography. Tijdschr Econ Soc Geogr 68(6)
Hillier B (2007) Space is the machine: a configurational theory of architecture
Hillier B, Iida S (2005) Network and psychological effects in urban movement. Paper presented at the International Conference on Spatial Information Theory
Hillier B, Leaman A, Stansall P, Bedford M (1976) Space syntax. Environment and Planning B: Planning and design 3(2):147–185
Holme P (2003) Congestion and centrality in traffic flow on complex networks. Advances in Complex Systems 6(02):163–176
Holme P, Kim BJ, Yoon CN, Han SK (2002) Attack vulnerability of complex networks. Phys Rev E 65(5):056109
Hu K, Liu C, Hu T, Tang Y (2010) Enhancing traffic capacity for scale-free networks by the one-way links. J Phys A Math Theor 43(17):175101
Hu M-B, Jiang R, Wu Y-H, Wang W-X, Wu Q-S (2008) Urban traffic from the perspective of dual graph. The European Physical Journal B 63(1):127–133
Huang W, Chow TW (2010) Effective strategy of adding nodes and links for maximizing the traffic capacity of scale-free network. Chaos: an interdisciplinary journal of nonlinear science 20(3):033123
Iacono M, Levinson D, El-Geneidy A (2008) Models of transportation and land use change: a guide to the territory. J Plan Lit 22(4):323–340
Jiang B (2007) A topological pattern of urban street networks: universality and peculiarity. Physica A: Statistical Mechanics and its Applications 384(2):647–655
Jiang B, Claramunt C (2004a) A structural approach to the model generalization of an urban street network. GeoInformatica 8(2):157–171
Jiang B, Claramunt C (2004b) Topological analysis of urban street networks. Environment and Planning B: Planning and design 31(1):151–162
Jiang Z-Y (2014) An incremental optimal routing strategy for scale-free networks. International Journal of Modern Physics C 25(09):1450044
Jiang Z-Y, Liang M-G, Zhang S, Zhou W, Jin H (2013) Enhancing Traffic Capacity of Two-Layer Complex Networks. International Journal of Modern Physics C 24(08):1350051
Jozefowiez N, Semet F, Talbi E-G (2008) Multi-objective vehicle routing problems. Eur J Oper Res 189(2):293–309
Kansky KJ (1963) Structure of transportation networks: relationships between network geometry and regional characteristics. Ph.D. Thesis, University of Chicago
Kermanshah A, Derrible S, Berkelhammer M (2017) Using climate models to estimate urban vulnerability to flash floods. Journal of Applied Meteorology and Climatology (2017)
Kleinberg J (2000) The small-world phenomenon: An algorithmic perspective. Paper presented at the Proceedings of the thirty-second annual ACM symposium on Theory of computing
Kurant M, Thiran P (2006) Layered complex networks. Phys Rev Lett 96(13):138701
Lammer S, Gehlsen B, Helbing D (2006) Scaling laws in the spatial structure of urban road networks. Physica A: Statistical Mechanics and its Applications 363(1):89–95
Latora V, Marchiori M (2002) Is the Boston subway a small-world network? Physica A: Statistical Mechanics and its Applications 314(1):109–113
Latora V, Marchiori M (2003) Economic small-world behavior in weighted networks. The European Physical Journal B-Condensed Matter and Complex Systems 32(2):249–263
Levinson D (2007) Density and dispersion: the co-development of land use and rail in London. Journal of Economic Geography, lbm038
Levinson D, Xie F, Zhu S (2007) The co-evolution of land use and road networks. Transportation and Traffic Theory:839–859
Levinson D, Yerra B (2005) How land use shapes the evolution of road networks. Available at SSRN 1736160
Levinson D, Yerra B (2006) Self-organization of surface transportation networks. Transp Sci 40(2):179–188
Li G, Reis S, Moreira A, Havlin S, Stanley H, Andrade J Jr (2010) Towards design principles for optimal transport networks. Phys Rev Lett 104(1):018701
Li T, Wu J, Sun H, Gao Z (2015) Integrated co-evolution model of land use and traffic network design. Networks and Spatial Economics, 1-25
Lin G, Chen X, Liang Y (2018) The location of retail stores and street centrality in Guangzhou, China. Appl Geogr 100:12–20
Liu C (2001) Advanced traffic planning. People Traffic Publication, Beijing
Liu C (2003) Study on traffic network design model and algorithm. Journal of Highway and Transportation Research and Development 20(2):57–62
Liu Y-Y, Slotine J-J, Barabási A-L (2011) Controllability of complex networks. Nature 473(7346):167–173
Liu Y, Sui Z, Kang C, Gao Y (2014) Uncovering patterns of inter-urban trip and spatial interaction from social media check-in data. PLoS One 9(1):e86026
Liu Y, Wang H, Jiao L, Liu Y, He J, Ai T (2015) Road centrality and landscape spatial patterns in Wuhan Metropolitan Area, China. Chin Geogr Sci 25(4):511–522
Liu Z, Hu M-B, Jiang R, Wang W-X, Wu Q-S (2007) Method to enhance traffic capacity for scale-free networks. Phys Rev E 76(3):037101
Ma J, Han W, Guo Q, Wang Z (2016a) Traffic dynamics on two-layer complex networks with limited delivering capacity. Physica A: Statistical Mechanics and its Applications 456:281–287
Ma J, Han W, Guo Q, Zhang S (2016b) Enhancing traffic capacity of scale-free networks by link-directed strategy. International Journal of Modern Physics C 27(03):1650028
Ma J, Han W, Guo Q, Zhang S, Wang J, Wang Z (2015) Improved efficient routing strategy on two-layer complex networks. International Journal of Modern Physics C 27(4):1650044
Magnanti TL, Wong RT (1984) Network design and transportation planning: Models and algorithms. Transp Sci 18(1):1–55
Manley E, Dennett A, Batty M (2015) Using mobile phone traces to understand activity and mobility in Dakar, Senegal
Marchiori M, Latora V (2000) Harmony in the small-world. Physica A: Statistical Mechanics and its Applications 285(3):539–546
Masucci AP, Smith D, Crooks A, Batty M (2009) Random planar graphs and the London street network. The European Physical Journal B 71(2):259–271
Masucci AP, Stanilov K, Batty M (2014) Exploring the evolution of London's street network in the information space: A dual approach. Phys Rev E 89(1):012805
Masud A, Ravindran A, Ravindran A (2008) Operations research and management science handbook: CRC Press, chapter Multi Criteria Decision Making
Mattsson L-G, Jenelius E (2015) Vulnerability and resilience of transport systems–A discussion of recent research. Transp Res A Policy Pract 81:16–34
Meignan D, Simonin O, Koukam A (2007) Simulation and evaluation of urban bus-networks using a multiagent approach. Simul Model Pract Theory 15(6):659–671
Min J, Park J, Oh S, Sohn M (2013) Finding a real passenger path in a complex transit network using a smart card record. Paper presented at the International Conference on Railway Technology: Research, Development and Maintenance
Morris RG, Barthelemy M (2012) Transport on coupled spatial networks. Phys Rev Lett 109(12):128703
Motter AE, Lai Y-C (2002) Cascade-based attacks on complex networks. Phys Rev E 66(6):065102
Motter AE, Toroczkai Z (2007) Introduction: Optimization in networks. Chaos: An Interdisciplinary Journal of Nonlinear Science 17(2):026101
Neal ZP (2012) The connected city: How networks are shaping the modern metropolis. Routledge, London
Newman ME (2002) Assortative mixing in networks. Phys Rev Lett 89(20):208701
Newman ME (2008) The mathematics of networks. The New Palgrave Encyclopedia of Economics 2(2008):1–12
Newman ME (2012) Communities, modules and large-scale structure in networks. Nat Phys 8(1):25–31
Newman ME, Girvan M (2004) Finding and evaluating community structure in networks. Phys Rev E 69(2):026113
Oliveira CL, Morais PA, Moreira AA, Andrade JS Jr (2014) Enhanced Flow in Small-World Networks. Phys Rev Lett 112(14):148701
Ore O (1963) Hamilton connected graphs. J Math Pures Appl 42(9):21–27
Othman NB, Legara EF, Selvam V, Monterola C (2014) Simulating Congestion Dynamics of Train Rapid Transit Using Smart Card Data. Procedia Computer Science 29:1610–1620
Porta S, Crucitti P, Latora V (2006a) The network analysis of urban streets: a dual approach. Physica A: Statistical Mechanics and its Applications 369(2):853–866
Porta S, Crucitti P, Latora V (2006b) The network analysis of urban streets: a primal approach. Environment and Planning B: Planning and design 33(5):705–725
Porta S, Crucitti P, Latora V (2008) Multiple centrality assessment in Parma: a network analysis of paths and open spaces. urban design. International 13(1):41–50
Porta S, Latora V (2007) 11 Multiple centrality assessment: mapping centrality in networks of urban spaces. Urban Sustainability Through Environmental Design: Approaches to Time-People-Place Responsive Urban Spaces, 101
Porta S, Latora V, Wang F, Rueda S, Strano E, Scellato S et al (2012) Street centrality and the location of economic activities in Barcelona. Urban Stud 49(7):1471–1488
Porta S, Strano E, Iacoviello V, Messora R, Latora V, Cardillo A et al (2009) Street centrality and densities of retail and services in Bologna, Italy. Environment and Planning B: Planning and Design 36(3):450–465
Porter MA, Onnela J-P, Mucha PJ (2009) Communities in networks. Notices of the AMS 56(9):1082–1097
Quintero-Cano L (2011) Graph theory based transit indicators applied to ridership and safety models. University of British Columbia, Vancouver
Quintero L, Sayed T, Wahba MM (2013) Safety models incorporating graph theory based transit indicators. Accid Anal Prev 50:635–644. https://doi.org/10.1016/j.aap.2012.06.012
Rodrigue J-P, Comtois C, Slack B (2013) The geography of transport systems. Routledge, London
Rodriguez-Nunez E, Garcia-Palomares JC (2014) Measuring the vulnerability of public transport networks. J Transp Geogr 35:50–63
Rui Y (2013) Urban growth modeling based on land-use changes and road network expansion. (Ph.D. thesis), KTH Royal Institute of Technology, Stockholm
Rui Y, Ban Y (2011) Urban growth modeling with road network expansion and land use development Advances in Cartography and GIScience. Volume 2 (pp. 399-412), Springer
Scellato S, Cardillo A, Latora V, Porta S (2006) The backbone of a city. The European Physical Journal B-Condensed Matter and Complex Systems 50(1-2):221–225
Scheurer J, Curtis C, Porta S (2008) Spatial network analysis of multimodal transport systems: developing a strategic planning tool to assess the congruence of movement and urban structure: a case study of Perth before and after the Perth-to-Mandurah Railway: GAMUT, Australasian Centre for the Governance and Management of Urban Transport, University of Melbourne
Schweitzer F, Ebeling W, Rose H, Weiss O (1997) Optimization of road networks using evolutionary strategies. Evol Comput 5(4):419–438
Sen P, Dasgupta S, Chatterjee A, Sreeram P, Mukherjee G, Manna S (2003) Small-world properties of the Indian railway network. Phys Rev E 67(3):036106
Sevtsuk A, Mekonnen M (2012) Urban network analysis. Revue internationale de géomatique–n 287:305
Sheffi Y (1985) Urban transportation networks. Prentice-Hall, Englewood Cliffs
Singha MR, Kalita B (2013) Mapping Mobile Phone Network onto Urban Traffic Network. Lecture Notes in Engineering & Computer Science 2202(1):245–250
Smailes AE (1946) The urban mesh of England and Wales. Trans Pap (Institute of British Geographers) 11:87–101
Soh H, Lim S, Zhang T, Fu X, Lee GKK, Hung TGG et al (2010) Weighted complex network analysis of travel routes on the Singapore public transportation system. Physica A Statistical Mechanics & Its Applications 389(24):5852–5863
Solé-Ribalta A, Gómez S, Arenas A (2016a) Congestion induced by the structure of multiplex networks. Phys Rev Lett 116(10):108701
Solé-Ribalta A, Gómez S, Arenas A (2016b) Decongestion of urban areas with hotspot-pricing. arXiv preprint arXiv:1604.07729
Solé-Ribalta A, Gómez S, Arenas A (2016c) A model to identify urban traffic congestion hotspots in complex networks. arXiv preprint arXiv:1604.07728
Strano E, Shai S, Dobson S, Barthelemy M (2015) Multiplex networks in metropolitan areas: generic features and local effects. J R Soc Interface 12(111):20150651. https://doi.org/10.1098/rsif.2015.0651
Sun DJ, Zhao Y, Lu Q-C (2015a) Vulnerability analysis of urban rail transit networks: a case study of Shanghai, China. Sustainability 7(6):6919–6936
Sun H, Gao Z, Wu J (2008a) A bi-level programming model and solution algorithm for the location of logistics distribution centers. Appl Math Model 32(4):610–616. https://doi.org/10.1016/j.apm.2007.02.007
Sun H, Wu J (2005) Urban traffic congestion spreading in small world networks. International Journal of Modern Physics B 19(28):4239–4246
Sun HJ, Zhao H, Wu JJ (2008b) A robust matching model of capacity to defense cascading failure on complex networks. Physica A: Statistical Mechanics and its Applications 387(25):6431–6435. https://doi.org/10.1016/j.physa.2008.07.028
Sun L, Jin JG (2015) Modeling Temporal Flow Assignment in Metro Networks Using Smart Card Data. Paper presented at the IEEE International Conference on Intelligent Transportation Systems
Sun, L., Lu, Y., & Lee, D.-H. (2015b). Understanding the Structure of Urban Bus Networks: The C-Space Representation Approach. Paper presented at the 15th COTA International Conference of Transportation Professionals
Sun Y, Xu R (2012) Rail transit travel time reliability and estimation of passenger route choice behavior: Analysis using automatic fare collection data. Transportation Research Record: Journal of the Transportation Research Board 2275:58–67
Tang J, Wang Y, Wang H, Zhang S, Liu F (2014) Dynamic analysis of traffic time series at different temporal scales: A complex networks approach. Physica A: Statistical Mechanics and its Applications 405:303–315. https://doi.org/10.1016/j.physa.2014.03.038
Tao L, Ceder AA (2015) Predictive Public-Transport Vehicle Control for Synchronized Transfers in Schedule-based Networks
Taylor MA (2008) Critical Transport Infrastructure in Urban Areas: Impacts of Traffic Incidents Assessed Using Accessibility-Based Network Vulnerability Analysis. Growth Chang 39(4):593–616
Taylor MA, Sekhar SV, D'Este GM (2006) Application of accessibility based methods for vulnerability analysis of strategic road networks. Netw Spat Econ 6(3-4):267–291
Ulungu EL, Teghem J (1994) Multi-objective combinatorial optimization problems: A survey. J Multi-Criteria Decis Anal 3(2):83–104
Vragović I, Louis E, Diaz-Guilera A (2005) Efficiency of informational transfer in regular and complex networks. Phys Rev E 71(3):036122
Wang F, Antipova A, Porta S (2011) Street centrality and land use intensity in Baton Rouge, Louisiana. J Transp Geogr 19(2):285–293
Wang P, Hunter T, Bayen AM, Schechtner K, González MC (2012) Understanding road usage patterns in urban areas. Sci Rep 2:1001
Wang S, Yu D, Lin C, Shang Q, Lin Y (2018) How to connect with each other between roads? An empirical study of urban road connection properties. Physica A: Statistical Mechanics and its Applications 512:775–787
Wang S, Zheng L, Yu D (2017) The improved degree of urban road traffic network: A case study of Xiamen, China. Physica A: Statistical Mechanics and its Applications 469:256–264
Watts DJ (2002) A simple model of global cascades on random networks. Proc Natl Acad Sci 99(9):5766–5771
Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393(6684):440–442. https://doi.org/10.1038/30918
Widhalm P, Yang Y, Ulm M, Athavale S, González MC (2015) Discovering urban activity patterns in cell phone data. Transportation 42(4):597–623
Wu J-J, Gao Z-Y, Sun H-J (2006a) Cascade and breakdown in scale-free networks with community structure. Phys Rev E 74(6):066111. https://doi.org/10.1103/PhysRevE.74.066111
Wu J, Gao Z, Sun H (2004a) Simulation of traffic congestion with SIR model. Modern Physics Letters B 18(30):1537–1542
Wu J, Gao Z, Sun H (2007a) Effects of the cascading failures on scale-free traffic networks. Physica A: Statistical Mechanics and its Applications 378(2):505–511. https://doi.org/10.1016/j.physa.2006.12.003
Wu J, Gao Z, Sun H (2008a) Optimal traffic networks topology: A complex networks perspective. Physica A: Statistical Mechanics and its Applications 387(4):1025–1032. https://doi.org/10.1016/j.physa.2007.10.014
Wu J, Gao Z, Sun H (2008b) Statistical Properties of Individual Choice Behaviors on Urban Traffic Networks. Journal of Transportation Systems Engineering and Information Technology 8(2):69–74. https://doi.org/10.1016/s1570-6672(08)60019-7
Wu J, Gao Z, Sun H, Huang H (2004b) Urban transit system as a scale-free network. Modern Physics Letters B 18(19n20):1043–1049
Wu J, Gao Z, Sun H, Huang H (2006b) Congestion in different topologies of traffic networks. EPL (Europhysics Letters) 74(3):560
Wu J, Li R, Ding R, Li T, Sun H (2016) City expansion model based on population diffusion and road growth. Applied Mathematical Modelling
Wu J, Liu M, Sun H, Li T, Gao Z, Wang DZ (2015) Equity-based timetable synchronization optimization in urban subway network. Transportation Research Part C: Emerging Technologies 51:1–18
Wu J, Sun H, Gao Z (2007b) Cascading failures on weighted urban traffic equilibrium networks. Physica A: Statistical Mechanics and its Applications 386(1):407–413. https://doi.org/10.1016/j.physa.2007.08.034
Wu J, Xu M, Gao Z (2013) Coevolution dynamics model of road surface and urban traffic structure. Nonlinear Dynamics 73(3):1327–1334
Wu J, Xu M, Gao Z (2014) Modeling The Coevolution Of Road Expansion And Urban Traffic Growth. Advances in Complex Systems 17(01):1450005
Xie F, Levinson D (2007) Measuring the structure of road networks. Geogr Anal 39(3):336–356
Xie F, Levinson D (2009a) Modeling the growth of transportation networks: a comprehensive review. Netw Spat Econ 9(3):291–307
Xie F, Levinson D (2009b) Topological evolution of surface transportation networks. Comput Environ Urban Syst 33(3):211–223. https://doi.org/10.1016/j.compenvurbsys.2008.09.009
Xing Y, Lu J, Chen S (2016) Weighted complex network analysis of shanghai rail transit system. Discrete Dynamics in Nature and Society, 2016
Xu X, Hu J, Liu F, Liu L (2007) Scaling and correlations in three bus-transport networks of China. Physica A: Statistical Mechanics and its Applications 374(1):441–448
Yang X-H, Wang B, Chen S-Y, Wang W-L (2012) Epidemic dynamics behavior in some bus transport networks. Physica A: Statistical Mechanics and its Applications 391(3):917–924
Yang Y, Liu Y, Zhou M, Li F, Sun C (2015) Robustness assessment of urban rail transit based on complex network theory: A case study of the Beijing Subway. Saf Sci 79:149–162
Yang Y, Tian L, Yeh AGO, Li QQ (2014) Zooming into individuals to understand the collective: A review of trajectory-based travel behaviour studies. Travel Behav Soc 1(2):69–78
Yerra BM, Levinson DM (2005) The emergence of hierarchy in transportation networks. Ann Reg Sci 39(3):541–553
Yin H-Y, Xu L-Q (2010) Measuring the structural vulnerability of road network: A network efficiency perspective. Journal of Shanghai Jiaotong University (Science) 15:736–742
Zeydan E, Bastug E, Bennis M, Kader MA, Karatepe IA, Er AS, Debbah M (2016) Big data caching for networking: moving from cloud to edge. IEEE Commun Mag 54(9):36–42
Zhang G-Q, Wang D, Li G-J (2007) Enhancing the transmission efficiency by edge deletion in scale-free networks. Phys Rev E 76(1):017101
Zhang J, Zhao M, Liu H, Xu X (2013) Networked characteristics of the urban rail transit networks. Physica A: Statistical Mechanics and its Applications 392(6):1538–1546. https://doi.org/10.1016/j.physa.2012.11.036
Zhang H, Jiang Z-Y, He X, Zhang S (2015) Exploring highly-efficient routing strategy on scale-free networks with limited and diverse node capacity. Modern Physics Letters B 29(17):1550085
Zhang J, Wang S, Wang X (2018) Comparison analysis on vulnerability of metro networks based on complex network. Physica A: Statistical Mechanics and its Applications 496:72–78
Zhang S, Liang M-G, Jiang Z-Y, Wu J-J (2014a) Effective strategy of adding links for improving network transport efficiency on complex networks. International Journal of Modern Physics C 25(06):1450014
Zhang S, Liang M-G, Li H-J (2014b) Method to enhance traffic capacity for two-layer complex networks. Can J Phys 92(12):1599–1605
Zhao F, Sun H, Wu J, Gao Z (2014) Urban Road Network Evolution to Maximize the Capacity. Procedia Soc Behav Sci 138:251–258. https://doi.org/10.1016/j.sbspro.2014.07.202
Zhao F, Sun H, Wu J, Gao Z, Liu R (2016a) Analysis of road network pattern considering population distribution and central business district. PLoS One 11(3):e0151676
Zhao F, Wu J, Sun H, Gao Z, Liu R (2015) Population-driven Urban Road Evolution Dynamic Model. Netw Spat Econ:1–22
Zhao J, Zhang F, Tu L, Xu C, Shen D, Tian C et al (2016b) Estimation of Passenger Route Choice Pattern Using Smart Card Data for Complex Metro Systems. IEEE Trans Intell Transp Syst 18(4):790–801
Zheng J-F, Gao Z-Y, Zhao X-M (2007) Properties of transportation dynamics on scale-free networks. Physica A: Statistical Mechanics and its Applications 373:837–844
Zhong C, Arisona SM, Huang X, Batty M, Schmitt G (2014) Detecting the dynamics of urban structure through spatial network analysis. Int J Geogr Inf Sci 28(11):2178–2199
Zhou J, Xu W, Guo X, Ma X (2015) Railway faults spreading model based on dynamics of complex network. International Journal of Modern Physics B 29(06):1550038
Acknowledgements
This paper is supported by the National Natural Science Foundation of China (NSFC): 71890972/71890970, 71525002, 71621001, Beijing Municipal Natural Science Foundation (No. L181008), and Putra Group Initiative Grant (GP-IPB) UPM: 9413000.
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Ding, R., Ujang, N., Hamid, H.B. et al. Application of Complex Networks Theory in Urban Traffic Network Researches. Netw Spat Econ 19, 1281–1317 (2019). https://doi.org/10.1007/s11067-019-09466-5
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DOI: https://doi.org/10.1007/s11067-019-09466-5