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Volumn 53, Issue 3, 2011, Pages 409-463

On the modeling of traffic and crowds: A survey of models, speculations, and perspectives

Author keywords

Complexity; Crowds and swarm dynamics; Living systems; Scaling; Vehicular traffic

Indexed keywords

COMPLEXITY; CRITICAL ANALYSIS; GLOBAL LEVELS; LARGE SYSTEM; LIVING SYSTEMS; MATHEMATICAL FRAMEWORKS; MATHEMATICAL LITERATURE; MODELING APPROACH; SCALING; SWARM DYNAMICS; UNIFIED MODELING;

EID: 80053108992     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/090746677     Document Type: Review
Times cited : (405)

References (221)
  • 1
    • 49449118528 scopus 로고    scopus 로고
    • Stochastic dynamics of viscoelastic skeins: Condensation waves and continuum limit
    • S. ALBEVERIO AND W. ALT, Stochastic dynamics of viscoelastic skeins: Condensation waves and continuum limit, Math. Models Methods Appl. Sci., 18 (Suppl.) (2008), pp. 1149-1191.
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , Issue.SUPPL. , pp. 1149-1191
    • Albeverio, S.1    Alt, W.2
  • 3
    • 0007259850 scopus 로고    scopus 로고
    • A speed-concentration relation for bi-directional crowd movements with strong interaction
    • M. Schreckenberg and S. D. Sharma, eds., Springer, Berlin
    • S. A. H. ALGADHI, H. S. MAHMASSANI, AND R. HERMAN, A speed-concentration relation for bi-directional crowd movements with strong interaction, in Pedestrian and Evacuation Dynamics, M. Schreckenberg and S. D. Sharma, eds., Springer, Berlin, 2001, pp. 3-20.
    • (2001) Pedestrian and Evacuation Dynamics , pp. 3-20
    • Algadhi, S.A.H.1    Mahmassani, H.S.2    Herman, R.3
  • 4
    • 0036000662 scopus 로고    scopus 로고
    • Generalized kinetic (Boltzmann) models: Mathematical structures and applications
    • L. ARLOTTI, N. BELLOMO, AND E. DE ANGELIS, Generalized kinetic (Boltzmann) models: Mathematical structures and applications, Math. Models Methods Appl. Sci., 12(2002), pp. 567-591.
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , pp. 567-591
    • Arlotti, L.1    Bellomo, N.2    De Angelis, E.3
  • 5
    • 0036706213 scopus 로고    scopus 로고
    • Derivation of continuum traffic flow models from microscopic follow-the-leader models
    • A. AW, A. KLAR, T. MATERNE, AND M. RASCLE, Derivation of continuum traffic flow models from microscopic follow-the-leader models, SIAM J. Appl. Math., 63(2002), pp. 259-278.
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 259-278
    • Aw, A.1    Klar, A.2    Materne, T.3    Rascle, M.4
  • 6
    • 0033691480 scopus 로고    scopus 로고
    • Resurrection of "second-order" models of traffic flow
    • A. AW AND M. RASCLE, Resurrection of "second-order" models of traffic flow, SIAM J. Appl. Math., 60(2000), pp. 916-938.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 916-938
    • Aw, A.1    Rascle, M.2
  • 8
    • 26344440071 scopus 로고
    • Dynamical model of traffic congestion and numerical simulation
    • M. BANDO, K. HASEBE, A. NAKAYAMA, A. SHIBATA, AND Y. SUGIYAMA, Dynamical model of traffic congestion and numerical simulation, Phys. Rev. E, 51(1995), pp. 1035-1042.
    • (1995) Phys. Rev. E , vol.51 , pp. 1035-1042
    • Bando, M.1    Hasebe, K.2    Nakayama, A.3    Shibata, A.4    Sugiyama, Y.5
  • 9
    • 41049111364 scopus 로고    scopus 로고
    • From individual behavior to population models: A case study using swimming algae
    • R. N. BEARON AND K. L. GRÜNBAUM, From individual behavior to population models: A case study using swimming algae, J. Theoret. Biol., 251(2008), pp. 33-42.
    • (2008) J. Theoret. Biol. , vol.251 , pp. 33-42
    • Bearon, R.N.1    Grünbaum, K.L.2
  • 11
    • 85015292843 scopus 로고    scopus 로고
    • On the modelling of vehicular traffic and crowds by the kinetic theory of active particles
    • G. Naldi, L. Pareschi, and G. Toscani, eds., Birkhäuser, Boston
    • N. BELLOMO AND A. BELLOUQUID, On the modelling of vehicular traffic and crowds by the kinetic theory of active particles, in Mathematical Modelling of Collective Behaviour in Socio-Economics and Life Sciences, G. Naldi, L. Pareschi, and G. Toscani, eds., Birkhäuser, Boston, 2010, pp. 273-296.
    • (2010) Mathematical Modelling of Collective Behaviour in Socio-economics and Life Sciences , pp. 273-296
    • Bellomo, N.1    Bellouquid, A.2
  • 12
    • 35348846435 scopus 로고    scopus 로고
    • Multicellular growing systems: Hyperbolic limits towards macroscopic description
    • N. BELLOMO, A. BELLOUQUID, J. NIETO, AND J. SOLER, Multicellular growing systems: Hyperbolic limits towards macroscopic description, Math. Models Methods Appl. Sci., 17(2007), pp. 1675-1693.
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 1675-1693
    • Bellomo, N.1    Bellouquid, A.2    Nieto, J.3    Soler, J.4
  • 14
    • 69849085464 scopus 로고    scopus 로고
    • Complexity analysis and mathematical tools towards the modelling of living systems
    • N. BELLOMO, C. BIANCA, AND M. DELITALA, Complexity analysis and mathematical tools towards the modelling of living systems, Phys. Life Rev., 6(2009), pp. 144-175.
    • (2009) Phys. Life Rev. , vol.6 , pp. 144-175
    • Bellomo, N.1    Bianca, C.2    Delitala, M.3
  • 15
  • 16
    • 27844464902 scopus 로고    scopus 로고
    • First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
    • DOI 10.1016/j.crme.2005.09.004, PII S1631072105001634
    • N. BELLOMO AND V. COSCIA, First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow, C. R. Mécanique, 333(2005), pp. 843-851. (Pubitemid 41660898)
    • (2005) Comptes Rendus - Mecanique , vol.333 , Issue.11 , pp. 843-851
    • Bellomo, N.1    Coscia, V.2
  • 17
    • 54049101941 scopus 로고    scopus 로고
    • From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells
    • N. BELLOMO AND M. DELITALA, From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells, Phys. Life Rev., 5(2008), pp. 183-206.
    • (2008) Phys. Life Rev. , vol.5 , pp. 183-206
    • Bellomo, N.1    Delitala, M.2
  • 18
    • 0036951683 scopus 로고    scopus 로고
    • On the mathematical theory of vehicular traffic flow I. Fluid dynamic and kinetic modelling
    • DOI 10.1142/S0218202502002343
    • N. BELLOMO, M. DELITALA, AND V. COSCIA, On the mathematical theory of vehicular traffic flow and fluid dynamic and kinetic modelling, Math. Models Methods Appl. Sci., 12(2002), pp. 1801-1843. (Pubitemid 36086693)
    • (2002) Mathematical Models and Methods in Applied Sciences , vol.12 , Issue.12 , pp. 1801-1843
    • Bellomo, N.1    Delitala, M.2    Coscia, V.3
  • 19
    • 48049120920 scopus 로고    scopus 로고
    • On the modelling crowd dynamics from scaling to hyperbolic macroscopic models
    • N. BELLOMO AND C. DOGBE, On the modelling crowd dynamics from scaling to hyperbolic macroscopic models, Math. Models Methods Appl. Sci., 18 (Suppl.) (2008), pp. 1317-1345.
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , Issue.SUPPL. , pp. 1317-1345
    • Bellomo, N.1    Dogbe, C.2
  • 20
    • 33646754105 scopus 로고
    • Kinetic equations for dense gases. A review of physical and mathematical results
    • N. BELLOMO AND M. LACHOWICZ, Kinetic equations for dense gases. A review of physical and mathematical results, Internat. J. Modern Phys. B, 1(1987) pp. 1193-1205.
    • (1987) Internat. J. Modern Phys. B , vol.1 , pp. 1193-1205
    • Bellomo, N.1    Lachowicz, M.2
  • 21
    • 0036131426 scopus 로고    scopus 로고
    • From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
    • N. BELLOMO, A. MARASCO, AND A. ROMANO, From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow, Nonlinear Anal., 3(2002), pp. 339-363.
    • (2002) Nonlinear Anal. , vol.3 , pp. 339-363
    • Bellomo, N.1    Marasco, A.2    Romano, A.3
  • 22
    • 0001317652 scopus 로고    scopus 로고
    • Continuum approach to car-following models
    • P. BERG, A. MASON, AND A. WOODS, Continuum approach to car-following models, Phys. Rev. E, 61(2000), pp. 1056-1066.
    • (2000) Phys. Rev. E , vol.61 , pp. 1056-1066
    • Berg, P.1    Mason, A.2    Woods, A.3
  • 26
    • 0032207467 scopus 로고    scopus 로고
    • Emergent fundamental pedestrian flows from cellular automata microsimulation
    • V. J. BLUE AND J. L. ADLER, Emergent fundamental pedestrian flows from cellular automata microsimulation, Transp. Res. Board, 1664(1998), pp. 29-36. (Pubitemid 128560037)
    • (1998) Transportation Research Record , Issue.1644 , pp. 29-36
    • Blue, V.J.1    Adler, J.L.2
  • 28
    • 0033225776 scopus 로고    scopus 로고
    • Cellular automata microsimulation of bidirectional pedestrian flows
    • V. J. BLUE AND J. L. ADLER, Cellular automata microsimulation of bidirectional pedestrian flows, Transp. Res. Board, 1678(2000), pp. 135-141. (Pubitemid 30552718)
    • (1999) Transportation Research Record , Issue.1678 , pp. 135-141
    • Blue, V.J.1    Adler, J.L.2
  • 30
    • 34047151227 scopus 로고    scopus 로고
    • Hyperbolicity analysis of a class of dynamical systems modelling traffic flow
    • DOI 10.1016/j.aml.2006.06.022, PII S0893965907000092
    • I. BONZANI, Hyperbolicity analysis of a class of dynamical systems modelling traffic flow, Appl. Math. Lett., 20(2007), pp. 933-937. (Pubitemid 46529137)
    • (2007) Applied Mathematics Letters , vol.20 , Issue.8 , pp. 933-937
    • Bonzani, I.1
  • 31
    • 52049090561 scopus 로고    scopus 로고
    • Modelling and simulations of multilane traffic flow by kinetic theory methods
    • I. BONZANI AND L. GRAMANI, Modelling and simulations of multilane traffic flow by kinetic theory methods, Comput. Math. Appl., 56(2008), pp. 2418-2428.
    • (2008) Comput. Math. Appl. , vol.56 , pp. 2418-2428
    • Bonzani, I.1    Gramani, L.2
  • 32
    • 84856725175 scopus 로고    scopus 로고
    • From experiments to hydrodynamic traffic flow models. Modelling and parameter identification
    • I. BONZANI AND L. MUSSONE, From experiments to hydrodynamic traffic flow models. Modelling and parameter identification, Math. Comput. Modelling, 37(2003), pp. 1143-1152.
    • (2003) Math. Comput. Modelling , vol.37 , pp. 1143-1152
    • Bonzani, I.1    Mussone, L.2
  • 33
    • 58049183272 scopus 로고    scopus 로고
    • From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium
    • I. BONZANI AND L. MUSSONE, From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium, Math. Comput. Modelling, 49(2009), pp. 610-616.
    • (2009) Math. Comput. Modelling , vol.49 , pp. 610-616
    • Bonzani, I.1    Mussone, L.2
  • 34
    • 69249218993 scopus 로고    scopus 로고
    • On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors
    • I. BONZANI AND L. MUSSONE, On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors, Math. Comput. Modelling, 50(2009), pp. 1107-1112.
    • (2009) Math. Comput. Modelling , vol.50 , pp. 1107-1112
    • Bonzani, I.1    Mussone, L.2
  • 35
    • 28844437402 scopus 로고    scopus 로고
    • From experiments to hydrodynamic traffic flow models: II - Sensitivity analysis
    • DOI 10.1016/j.mcm.2004.03.013, PII S0895717705003699
    • I. BONZANI, L. MUSSONE, AND P. N. ZUCCA, From experiments to hydrodynamics flow models II: Sensitivity analysis, Math. Comput. Modelling, 42(2005), pp. 1145-1150. (Pubitemid 41774495)
    • (2005) Mathematical and Computer Modelling , vol.42 , Issue.9-10 , pp. 1145-1150
    • Bonzani, I.1    Mussone, L.2    Zucca, P.N.3
  • 37
    • 77957132925 scopus 로고    scopus 로고
    • Parameters of pedestrians, pedestrian traffic and walking facilities
    • ETH, Switzerland
    • S. BUCHMUELLER AND U. WEIDMAN, Parameters of Pedestrians, Pedestrian Traffic and Walking Facilities, Tech. Report 132, ETH, Switzerland, 2006.
    • (2006) Tech. Report 132
    • Buchmueller, S.1    Weidman, U.2
  • 38
    • 46949106911 scopus 로고    scopus 로고
    • Godunov schemes and sampling technique for computing phase transitions in traffic flow modelling
    • C. CHALONS AND P. GOATIN, Godunov schemes and sampling technique for computing phase transitions in traffic flow modelling, Interfaces Free Bound., 10(2008), pp. 197-191.
    • (2008) Interfaces Free Bound. , vol.10 , pp. 197-191
    • Chalons, C.1    Goatin, P.2
  • 39
    • 3242700692 scopus 로고    scopus 로고
    • Microscopic modeling of driver behavior in uninterrupted traffic flow
    • DOI 10.1061/(ASCE)0733-947X(2004)130:4(438)
    • P. CHAKROBORTY, S. AGRAWAL, AND K. VASISHTHA, Microscopic modeling of driver behavior in uninterrupted traffic flow, J. Transp. Engrg., 130(2004), pp. 438-451. (Pubitemid 38945766)
    • (2004) Journal of Transportation Engineering , vol.130 , Issue.4 , pp. 438-451
    • Chakroborty, P.1    Agrawal, S.2    Vasishtha, K.3
  • 40
    • 0000807116 scopus 로고
    • Traffic dynamics: Studies in car following
    • R. E. CHANDLER, R. HERMAN, AND E. W. MONTROLL, Traffic dynamics: Studies in car following, Oper. Res., 6(1958), pp. 165-184.
    • (1958) Oper. Res. , vol.6 , pp. 165-184
    • Chandler, R.E.1    Herman, R.2    Montroll, E.W.3
  • 41
    • 34347371566 scopus 로고    scopus 로고
    • State transitions and the continuum limit for a 2D interacting, self-propelled particle system
    • DOI 10.1016/j.physd.2007.05.007, PII S016727890700156X
    • Y. CHJANG, M. D'ORSOGNA, D. MARTHALER, A. BERTOZZI, AND L. CHAVES, State transition and the continuum limit for 2D interacting, self-propelled particles system, Phys. D, 232(2007), pp. 33-47. (Pubitemid 47021228)
    • (2007) Physica D: Nonlinear Phenomena , vol.232 , Issue.1 , pp. 33-47
    • Chuang, Y.-l.1    D'Orsogna, M.R.2    Marthaler, D.3    Bertozzi, A.L.4    Chayes, L.S.5
  • 42
    • 0037106003 scopus 로고    scopus 로고
    • Modeling self-consistent multi-class dynamic traffic flow
    • H. J. CHO AND S. LO, Modeling self-consistent multi-class dynamic traffic flow, Phys. A, 312(2002), pp. 342-362.
    • (2002) Phys. A , vol.312 , pp. 342-362
    • Cho, H.J.1    Lo, S.2
  • 43
    • 28844464300 scopus 로고    scopus 로고
    • Physics of transport and traffic phenomena in biology: From molecular motors and cells to organisms
    • DOI 10.1016/j.plrev.2005.09.001, PII S1571064505000321
    • D. CHOWDHURY, A. SCHADSCHNEIDER, AND K. NISHINARI, Physics of transport and traffic phenomena in biology: From molecular motors and cells to organisms, Phys. Life Rev., 2(2005), pp. 318-352. (Pubitemid 41762628)
    • (2005) Physics of Life Reviews , vol.2 , Issue.4 , pp. 318-352
    • Chowdhury, D.1    Schadschneider, A.2    Nishinari, K.3
  • 45
    • 0038443911 scopus 로고    scopus 로고
    • Hyperbolic phase transitions in traffic flow
    • R. M. COLOMBO, Hyperbolic phase transitions in traffic flow, SIAM J. Appl. Math., 63(2002), pp. 708-721.
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 708-721
    • Colombo, R.M.1
  • 46
    • 0036170169 scopus 로고    scopus 로고
    • On a 2 × 2 hyperbolic traffic flow model
    • R. M. COLOMBO, On a 2 × 2 hyperbolic traffic flow model, Math. Comput. Modelling, 35(2002), pp. 683-688.
    • (2002) Math. Comput. Modelling , vol.35 , pp. 683-688
    • Colombo, R.M.1
  • 49
    • 49449106664 scopus 로고    scopus 로고
    • First order macroscopic modelling of human crowds
    • V. COSCIA AND C. CANAVESIO, First order macroscopic modelling of human crowds, Math. Models Methods Appl. Sci., 18 (Suppl.) (2008), pp. 1217-1247.
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , Issue.SUPPL. , pp. 1217-1247
    • Coscia, V.1    Canavesio, C.2
  • 50
    • 34249804473 scopus 로고    scopus 로고
    • On the mathematical theory of vehicular traffic flow II: Discrete velocity kinetic models
    • DOI 10.1016/j.ijnonlinmec.2006.02.008, PII S0020746207000169
    • V. COSCIA, M. DELITALA, AND P. FRASCA, On the mathematical theory of vehicular traffic flow models II. Discrete velocity kinetic models, Internat. J. Non-Linear Mech., 42(2007), pp. 411-421. (Pubitemid 46855773)
    • (2007) International Journal of Non-Linear Mechanics , vol.42 , Issue.3 , pp. 411-421
    • Coscia, V.1    Delitala, M.2    Frasca, P.3
  • 51
    • 0019634733 scopus 로고
    • Parameter identification for a traffic flow
    • DOI 10.1016/0005-1098(81)90071-6
    • M. CREMER AND M. PAPAGEORGIOU, Parameter identification for a traffic flow model, Automatica, 17(1981), pp. 837-843. (Pubitemid 12511923)
    • (1981) Automatica , vol.17 , Issue.6 , pp. 837-843
    • Cremer, M.1    Papageorgiou, M.2
  • 52
    • 69849097029 scopus 로고    scopus 로고
    • On the critical exponent for flocks under hierarchical leadership
    • F. CUCKER AND J.-G. DONG, On the critical exponent for flocks under hierarchical leadership, Math. Models Methods Appl. Sci., 19(2009), pp. 1391-1404.
    • (2009) Math. Models Methods Appl. Sci. , vol.19 , pp. 1391-1404
    • Cucker, F.1    Dong, J.-G.2
  • 54
    • 0029416695 scopus 로고
    • Requiem for second-order fluid approximations of traffic flow
    • C. F. DAGANZO, Requiem for second-order fluid approximations of traffic flow, Transp. Res. B, 29(1995), pp. 277-286. (Pubitemid 26431358)
    • (1995) Transportation Research, Part B: Methodological , vol.29 B , Issue.4 , pp. 277-286
    • Daganzo, C.F.1
  • 55
    • 0028481056 scopus 로고    scopus 로고
    • The cell transmission model: A dynamics representation of highway traffic consistent with the hydrodynamic theory
    • C. F. DAGANZO, The cell transmission model: A dynamics representation of highway traffic consistent with the hydrodynamic theory, Transp. Res. B, 28(1996), pp. 269-287.
    • (1996) Transp. Res. B , vol.28 , pp. 269-287
    • Daganzo, C.F.1
  • 56
    • 0028803659 scopus 로고
    • The cell transmission model, Part II: Network traffic
    • C. F. DAGANZO, The cell transmission model, Part II: Network traffic, Transp. Res. B, 29(1995), pp. 79-93.
    • (1995) Transp. Res. B , vol.29 , pp. 79-93
    • Daganzo, C.F.1
  • 58
    • 84856763224 scopus 로고    scopus 로고
    • A behavioural theory of multi-lane traffic flow
    • University of California-Berkeley, Berkeley, CA
    • C. F. DAGANZO, A Behavioural Theory of Multi-lane Traffic Flow, Report of the Institute of Transportation Studies, University of California-Berkeley, Berkeley, CA, 1999.
    • (1999) Report of the Institute of Transportation Studies
    • Daganzo, C.F.1
  • 60
    • 0036811640 scopus 로고    scopus 로고
    • A limit collection of dynamical systems. An application to model the flow of traffic
    • S. DARBHA AND K. R. RAJAGOPAL, A limit collection of dynamical systems. An application to model the flow of traffic, Math. Models Methods Appl. Sci., 12(2002), pp. 1381-1399.
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , pp. 1381-1399
    • Darbha, S.1    Rajagopal, K.R.2
  • 61
    • 0033119901 scopus 로고    scopus 로고
    • Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
    • DOI 10.1016/S0895-7177(99)00064-3, PII S0895717799000643
    • E. DE ANGELIS, Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems, Math. Comput. Modelling, 29(1999), pp. 83-95. (Pubitemid 29216100)
    • (1999) Mathematical and Computer Modelling , vol.29 , Issue.7 , pp. 83-95
    • De Angelis, E.1
  • 62
    • 49449093394 scopus 로고    scopus 로고
    • Modelling and simulation of vehicular traffic jam formation
    • P. DEGOND AND M. DELITALA, Modelling and simulation of vehicular traffic jam formation, Kinetic Related Models, 1(2008), pp. 279-293.
    • (2008) Kinetic Related Models , vol.1 , pp. 279-293
    • Degond, P.1    Delitala, M.2
  • 63
    • 49449106913 scopus 로고    scopus 로고
    • Continuum limit of self-driven particles with orientation interaction
    • P. DEGOND AND S. MOTSCH, Continuum limit of self-driven particles with orientation interaction, Math. Models Methods Appl. Sci., 18(2008), pp. 1193-1217.
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , pp. 1193-1217
    • Degond, P.1    Motsch, S.2
  • 65
    • 0029391007 scopus 로고
    • On the functional form of the speed-density relationship, I
    • J. M. DEL CASTILLO AND G. G. BENITEZ, On the functional form of the speed-density relationship, I, Transp. Res. B, 29(1993), pp. 373-389.
    • (1993) Transp. Res. B , vol.29 , pp. 373-389
    • Del Castillo, J.M.1    Benitez, G.G.2
  • 66
    • 33751401909 scopus 로고    scopus 로고
    • Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity
    • DOI 10.1016/j.mcm.2006.07.005, PII S0895717706002676
    • S. DE LILLO, C. SALVADORI, AND N. BELLOMO, Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity, Math. Comput. Modelling, 45(2007), pp. 564-578. (Pubitemid 44820793)
    • (2007) Mathematical and Computer Modelling , vol.45 , Issue.5-6 , pp. 564-578
    • De Lillo, S.1    Salvatori, M.C.2    Bellomo, N.3
  • 67
    • 0348142119 scopus 로고    scopus 로고
    • Nonlinear models of vehicular traffic flow - New frameworks of the mathematical kinetic theory
    • DOI 10.1016/j.crme.2003.09.008
    • M. DELITALA, Nonlinear models of vehicular traffic flow: New frameworks of the mathematical kinetic theory, C. R. Mécanique, 331(2003), pp. 817-822. (Pubitemid 38017523)
    • (2003) Comptes Rendus - Mecanique , vol.331 , Issue.12 , pp. 817-822
    • Delitala, M.1
  • 68
    • 34249789588 scopus 로고    scopus 로고
    • Mathematical modelling of vehicular traffic: A discrete kinetic theory approach
    • M. DELITALA AND A. TOSIN, Mathematical modelling of vehicular traffic: A discrete kinetic theory approach, Math. Models Methods Appl. Sci., 17(2007), pp. 901-932.
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 901-932
    • Delitala, M.1    Tosin, A.2
  • 69
    • 33749598839 scopus 로고    scopus 로고
    • Self-organized structures in a superorganism: Do ants "behave" like molecules?
    • DOI 10.1016/j.plrev.2006.07.001, PII S1571064506000200
    • C. DETRAIN AND J.-L. DONEUBOURG, Self-organized structures in a superorganism: Do ants "behave" like molecules?, Phys. Life Rev., 3(2006), pp. 162-187. (Pubitemid 44542629)
    • (2006) Physics of Life Reviews , vol.3 , Issue.3 , pp. 162-187
    • Detrain, C.1    Deneubourg, J.-L.2
  • 70
    • 1642394510 scopus 로고    scopus 로고
    • A multi-agent cellular automata system for visualising simulated pedestrian activity
    • S. Bandini and T. Worsch, eds., Springer, London
    • D. J. DIJKSTRA, H. TIMMERMANS, AND A. JESSURUN, A multi-agent cellular automata system for visualising simulated pedestrian activity, in Theoretical and Practical Issues on Cellular Automata, S. Bandini and T. Worsch, eds., Springer, London, 2000, pp. 29-36.
    • (2000) Theoretical and Practical Issues on Cellular Automata , pp. 29-36
    • Dijkstra, D.J.1    Timmermans, H.2    Jessurun, A.3
  • 71
    • 48049091801 scopus 로고    scopus 로고
    • On the numerical solution of second-order macroscopic models of pedestrian flows
    • C. DOGBÉ, On the numerical solution of second-order macroscopic models of pedestrian flows, Math. Comput. Appl., 56(2008), pp. 1884-1898.
    • (2008) Math. Comput. Appl. , vol.56 , pp. 1884-1898
    • Dogbé, C.1
  • 72
    • 33947575210 scopus 로고    scopus 로고
    • Crowd synchrony on the London millennium bridge
    • article 041104
    • B. ECKHARDT AND E. OTT, Crowd synchrony on the London Millennium Bridge, Chaos, 16(2006), article 041104.
    • (2006) Chaos , vol.16
    • Eckhardt, B.1    Ott, E.2
  • 73
    • 0141576240 scopus 로고    scopus 로고
    • Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts
    • L. EDELSTEIN-KESHET, J. WATMOUGH, AND D. GRUNBAUM, Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts, J. Math. Biol., 36(1998), pp. 515-549. (Pubitemid 128735361)
    • (1998) Journal of Mathematical Biology , vol.36 , Issue.6 , pp. 515-549
    • Edelstein-Keshet, L.1    Watmough, J.2    Grunbaum, D.3
  • 74
    • 0033590683 scopus 로고    scopus 로고
    • From individuals to aggregations: The interplay between behavior and physics
    • DOI 10.1006/jtbi.1998.0842
    • G. FLIERL, D. GRÜNBAUM, S. LEVIN, AND D. OLSON, From individuals to aggregations: The interplay between behavior and physics, J. Theoret. Biol., 196(1999), pp. 397-454. (Pubitemid 29082205)
    • (1999) Journal of Theoretical Biology , vol.196 , Issue.4 , pp. 397-454
    • Flierl, G.1    Grunbaum, D.2    Levin, S.3    Olson, D.4
  • 75
    • 0015203418 scopus 로고
    • Designing for pedestrians: A level of service concept
    • J. J. FRUIN, Designing for pedestrians: A level of service concept, Highway Res. Record, 355(1971), pp. 1-15.
    • (1971) Highway Res. Record , vol.355 , pp. 1-15
    • Fruin, J.J.1
  • 77
    • 33750897181 scopus 로고    scopus 로고
    • Combinatorial and continuous models for the optimization of traffic flows on networks
    • DOI 10.1137/040605503
    • A. FÜGENSCHUH, M. HERTY, A. KLAR, AND A. MARTIN, Combinatorial and continuous models for the optimization of traffic flows on networks, SIAM J. Optim., 16(2006), pp. 1155-1176. (Pubitemid 44729416)
    • (2006) SIAM Journal on Optimization , vol.16 , Issue.4 , pp. 1155-1176
    • Fugenschuh, A.1    Herty, M.2    Klar, A.3    Martin, A.4
  • 78
    • 0033410428 scopus 로고    scopus 로고
    • Self-organized phase transitions in CA-models for pedestrians
    • M. FUKUI AND Y. ISHIBASHI, Self-organized phase transitions in CA-models for pedestrians, J. Phys. Soc. Japan, 8(1999), pp. 2861-2863.
    • (1999) J. Phys. Soc. Japan , vol.8 , pp. 2861-2863
    • Fukui, M.1    Ishibashi, Y.2
  • 79
    • 39749094834 scopus 로고    scopus 로고
    • Traffic theory on networks
    • Springfield, MO
    • M. GARAVELLO AND B. PICCOLI, Traffic Theory on Networks, AIM Sciences, Springfield, MO, 2006.
    • (2006) AIM Sciences
    • Garavello, M.1    Piccoli, B.2
  • 80
    • 31744447286 scopus 로고    scopus 로고
    • Traffic flow on a road network using the Aw-Rascle model
    • DOI 10.1080/03605300500358053, PII N8445721222381
    • M. GARAVELLO AND B. PICCOLI, Traffic flow on a road network using Aw-Rascle model, Comm. Partial Differential Equations, 31(2006), pp. 243-275. (Pubitemid 43173398)
    • (2006) Communications in Partial Differential Equations , vol.31 , Issue.2 , pp. 243-275
    • Garavello, M.1    Piccoli, B.2
  • 81
    • 65549094145 scopus 로고    scopus 로고
    • Time-varying Riemann solvers for conservation laws on networks
    • M. GARAVELLO AND B. PICCOLI, Time-varying Riemann solvers for conservation laws on networks, J. Differential Equations, 247(2009), pp. 447-464.
    • (2009) J. Differential Equations , vol.247 , pp. 447-464
    • Garavello, M.1    Piccoli, B.2
  • 82
    • 0006968101 scopus 로고
    • Mathematical theory of automobile traffic
    • D. C. GAZIS, Mathematical theory of automobile traffic, Science, 157(1967), pp. 273-281.
    • (1967) Science , vol.157 , pp. 273-281
    • Gazis, D.C.1
  • 83
    • 0000876232 scopus 로고
    • Nonlinear follow the leader models of traffic flow
    • D. C. GAZIS, R. HERMAN, AND R. ROTHERY, Nonlinear follow the leader models of traffic flow, Oper. Res., 9(1961), pp. 545-567.
    • (1961) Oper. Res. , vol.9 , pp. 545-567
    • Gazis, D.C.1    Herman, R.2    Rothery, R.3
  • 84
    • 33744910314 scopus 로고    scopus 로고
    • The Aw-Rascle vehicular traffic flow model with phase transitions
    • DOI 10.1016/j.mcm.2006.01.016, PII S0895717706000197
    • P. GOATIN, The Aw-Rascle vehicular traffic model with phase transitions, Math. Comput. Modelling, 44(2006), pp. 287-303. (Pubitemid 43851204)
    • (2006) Mathematical and Computer Modelling , vol.44 , Issue.3-4 , pp. 287-303
    • Goatin, P.1
  • 85
    • 60949114144 scopus 로고    scopus 로고
    • On the modeling of granular traffic flow by the kinetic theory for active particles. Trend to equilibrium and macroscopic behavior
    • L. GRAMANI, On the modeling of granular traffic flow by the kinetic theory for active particles. Trend to equilibrium and macroscopic behavior, Internat. J. Non-Linear Mech., 44(2008), pp. 263-268.
    • (2008) Internat. J. Non-Linear Mech. , vol.44 , pp. 263-268
    • Gramani, L.1
  • 86
    • 0036306864 scopus 로고    scopus 로고
    • Extensions and amplifications of a traffic model of Aw and Rascle
    • J. M. GREENBERG, Extensions and amplifications of a traffic model of Aw and Rascle, SIAM J. Appl. Math., 62(2001), pp. 729-745.
    • (2001) SIAM J. Appl. Math. , vol.62 , pp. 729-745
    • Greenberg, J.M.1
  • 87
    • 47549091141 scopus 로고    scopus 로고
    • Non-linear advection diffusion equations approximate swarms but not schooling population
    • D. GRÜNBAUM, K. CHAN, E. TOBIN, AND M. T. NISHIZAKI, Non-linear advection diffusion equations approximate swarms but not schooling population, Math. Biosci., 214(2008), pp. 38-48.
    • (2008) Math. Biosci. , vol.214 , pp. 38-48
    • Grünbaum, D.1    Chan, K.2    Tobin, E.3    Nishizaki, M.T.4
  • 88
    • 0000754593 scopus 로고
    • Modelling social animal aggregation
    • S. Levin, ed., Springer, New York
    • D. GRUNBAUM AND A. OKUBO, Modelling social animal aggregation, in Frontiers in Mathematical Biology, S. Levin, ed., Springer, New York, 1994, pp. 296-325.
    • (1994) Frontiers in Mathematical Biology , pp. 296-325
    • Grunbaum, D.1    Okubo, A.2
  • 90
    • 0036170488 scopus 로고    scopus 로고
    • An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations
    • PII S0895717701001844
    • M. GÜNTHER, A. KLAR, T. MATERNE, AND R. WEGENER, An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations, Math. Comput. Modelling, 35(2002), pp. 591-606. (Pubitemid 34143624)
    • (2002) Mathematical and Computer Modelling , vol.35 , Issue.5-6 , pp. 591-606
    • Gunther, M.1    Klar, A.2    Materne, T.3    Wegener, R.4
  • 91
    • 21244485147 scopus 로고    scopus 로고
    • Analyses of shock waves and jams in traffic flow
    • DOI 10.1088/0305-4470/38/19/002, PII S0305447005885622
    • A. K. GUPTA AND V. K. KATIYAR, Analyses of shock waves and jams in traffic flow, J. Phys. A, 38(2005), pp. 4069-4083. (Pubitemid 40900371)
    • (2005) Journal of Physics A: Mathematical and General , vol.38 , Issue.19 , pp. 4069-4083
    • Gupta, A.K.1    Katiyar, V.K.2
  • 92
    • 84982412190 scopus 로고
    • A mathematical model for the behavior of pedestrians
    • D. HELBING, A mathematical model for the behavior of pedestrians, Behavioral Sci., 36(1991), pp. 298-310.
    • (1991) Behavioral Sci. , vol.36 , pp. 298-310
    • Helbing, D.1
  • 93
    • 5544220530 scopus 로고
    • Improved fluid dynamic model for vehicular traffic
    • D. HELBING, Improved fluid dynamic model for vehicular traffic, Phys. Rev. E, 51(1995), pp. 3164-3171.
    • (1995) Phys. Rev. E , vol.51 , pp. 3164-3171
    • Helbing, D.1
  • 95
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • DOI 10.1103/RevModPhys.73.1067
    • D. HELBING, Traffic and related self-driven many-particle systems, Rev. Modern Phys., 73(2001), pp. 1067-1141. (Pubitemid 33395907)
    • (2001) Reviews of Modern Physics , vol.73 , Issue.4 , pp. 1067-1141
    • Helbing, D.1
  • 96
    • 68449092605 scopus 로고    scopus 로고
    • Derivation of a fundamental diagram for urban traffic flow
    • D. HELBING, Derivation of a fundamental diagram for urban traffic flow, Eur. Phys. J. B. Condens. Matter. Phys., 70(2009), pp. 229-241.
    • (2009) Eur. Phys. J. B Condens. Matter. Phys. , vol.70 , pp. 229-241
    • Helbing, D.1
  • 97
    • 0034727079 scopus 로고    scopus 로고
    • Simulating dynamical feature of escape panic
    • D. HELBING, I. FARKAS, AND T. VICSEK, Simulating dynamical feature of escape panic, Nature, 407(2000), pp. 487-490.
    • (2000) Nature , vol.407 , pp. 487-490
    • Helbing, D.1    Farkas, I.2    Vicsek, T.3
  • 98
    • 0000696362 scopus 로고    scopus 로고
    • Modelling and simulation of multilane flow
    • D. HELBING AND A. GREINER, Modelling and simulation of multilane flow, Phys. Rev. E, 55(1997), pp. 5498-5505.
    • (1997) Phys. Rev. E , vol.55 , pp. 5498-5505
    • Helbing, D.1    Greiner, A.2
  • 99
    • 67650224266 scopus 로고    scopus 로고
    • On the controversy around Daganzo's requiem for the Aw-Rascle's resurrection of second-order traffic flow models
    • D. HELBING AND A. F. JOHANSSON, On the controversy around Daganzo's requiem for the Aw-Rascle's resurrection of second-order traffic flow models, Eur. Phys. J. B. Condens. Matter. Phys., 69(2009), pp. 549-562.
    • (2009) Eur. Phys. J. B Condens. Matter. Phys. , vol.69 , pp. 549-562
    • Helbing, D.1    Johansson, A.F.2
  • 100
    • 34247235039 scopus 로고    scopus 로고
    • Dynamics of crowd disasters: An empirical study
    • article 046109
    • D. HELBING, A. F. JOHANSSON, AND H. Z. AL-ABIDEEN, Dynamics of crowd disasters: An empirical study, Phys. Rev. E, 75(2007), article 046109.
    • (2007) Phys. Rev. E , vol.75
    • Helbing, D.1    Johansson, A.F.2    Al-Abideen, H.Z.3
  • 101
    • 68449104161 scopus 로고    scopus 로고
    • Operation regimes and slower-is-faster effect in the control of traffic intersection
    • D. HELBING AND A. MAZLOUMIAN, Operation regimes and slower-is-faster effect in the control of traffic intersection, Eur. Phys. J. B. Condens. Matter. Phys., 70(2009), pp. 257-274.
    • (2009) Eur. Phys. J. B Condens. Matter. Phys. , vol.70 , pp. 257-274
    • Helbing, D.1    Mazloumian, A.2
  • 102
    • 35949007691 scopus 로고
    • Social force model for pedestrian dynamics
    • D. HELBING AND P. MOLNÁR, Social force model for pedestrian dynamics, Phys. Rev. E, 51(1995), pp. 4282-4286.
    • (1995) Phys. Rev. E , vol.51 , pp. 4282-4286
    • Helbing, D.1    Molnár, P.2
  • 104
    • 67650258741 scopus 로고    scopus 로고
    • Analytical calculation of critical perturbation amplitudes and critical densities by non-linear stability analysis for a simple traffic flow model
    • D. HELBING AND M. MOUSSAID Analytical calculation of critical perturbation amplitudes and critical densities by non-linear stability analysis for a simple traffic flow model, Eur. Phys. J. B. Condens. Matter. Phys., 69(2009), pp. 571-581.
    • (2009) Eur. Phys. J. B Condens. Matter. Phys. , vol.69 , pp. 571-581
    • Helbing, D.1    Moussaid, M.2
  • 105
    • 67649389463 scopus 로고    scopus 로고
    • A power law of the duration of high-flow states and its interpretation heterogeneous flow perspective
    • D. HELBING AND B. TILCH, A power law of the duration of high-flow states and its interpretation heterogeneous flow perspective, Eur. Phys. J. B. Condens. Matter. Phys., 68(2009), pp. 577-586.
    • (2009) Eur. Phys. J. B Condens. Matter. Phys. , vol.68 , pp. 577-586
    • Helbing, D.1    Tilch, B.2
  • 106
  • 107
    • 0037852770 scopus 로고    scopus 로고
    • Optimal self-organization
    • D. HELBING AND T. VICSEK, Optimal self-organization, New J. Phys., 1(1999), pp. 13.1-13.17.
    • (1999) New J. Phys. , vol.1 , pp. 131-1317
    • Helbing, D.1    Vicsek, T.2
  • 108
    • 0006076070 scopus 로고
    • Simulation of bottlenecks in single-lane traffic flow
    • R. Herman, ed., Elsevier, Amsterdam, New York
    • W. HELLY, Simulation of bottlenecks in single-lane traffic flow, in Proceedings of the Symposium on the Theory of Traffic Flow, R. Herman, ed., Elsevier, Amsterdam, New York, 1961, pp. 207-238.
    • (1961) Proceedings of the Symposium on the Theory of Traffic Flow , pp. 207-238
    • Helly, W.1
  • 109
    • 35248856713 scopus 로고
    • The statistics of crowd fluids
    • L. F. HENDERSON, The statistics of crowd fluids, Nature, 229(1971), pp. 381-383.
    • (1971) Nature , vol.229 , pp. 381-383
    • Henderson, L.F.1
  • 110
    • 0015498624 scopus 로고
    • Sexual differences in human crowd motion
    • L. F. HENDERSON AND D. J. LYONS, Sexual differences in human crowd motion, Nature, 240(1972), pp. 353-355.
    • (1972) Nature , vol.240 , pp. 353-355
    • Henderson, L.F.1    Lyons, D.J.2
  • 111
    • 0016026954 scopus 로고
    • Response of pedestrians to traffic challenge
    • L. F. HENDERSON AND D. M. JENKINS, Response of pedestrians to traffic challenge, Transp. Res., 8(1973), pp. 71-74.
    • (1973) Transp. Res. , vol.8 , pp. 71-74
    • Henderson, L.F.1    Jenkins, D.M.2
  • 112
    • 0016336636 scopus 로고
    • On the fluid mechanic of human crowd motion
    • L. F. HENDERSON, On the fluid mechanic of human crowd motion, Transp. Res., 8(1975), pp. 509-515.
    • (1975) Transp. Res. , vol.8 , pp. 509-515
    • Henderson, L.F.1
  • 113
    • 0002395903 scopus 로고
    • Vehicular traffic flow
    • R. HERMAN AND K. GARDELS, Vehicular traffic flow, Sci. Amer., 209(1963), pp. 35-43.
    • (1963) Sci. Amer. , vol.209 , pp. 35-43
    • Herman, R.1    Gardels, K.2
  • 114
    • 2942573195 scopus 로고    scopus 로고
    • Modeling, simulation, and optimization of traffic flow networks
    • M. HERTY AND A. KLAR, Modeling, simulation, and optimization of traffic flow networks, SIAM J. Sci. Comput., 25(2003), pp. 1066-1087.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 1066-1087
    • Herty, M.1    Klar, A.2
  • 115
    • 0031988776 scopus 로고    scopus 로고
    • A generalised stability criterion for motorway traffic
    • PII S0191261597000210
    • E. N. HOLLAND, A generalized stability criterion for motorway traffic, Transp. Res. B, 32(1998), pp. 141-154. (Pubitemid 128714059)
    • (1998) Transportation Research Part B: Methodological , vol.33 , Issue.2 , pp. 141-154
    • Holland, E.N.1
  • 119
    • 0344272298 scopus 로고    scopus 로고
    • Pedestrian route-choice and activity scheduling theory and models
    • DOI 10.1016/S0191-2615(03)00007-9
    • L. S. HOOGENDOORN AND P. H. L. BOVY, Pedestrian route-choice and activity scheduling theory and models, Transp. Res. B, 38(2004), pp. 169-190. (Pubitemid 37515111)
    • (2004) Transportation Research Part B: Methodological , vol.38 , Issue.2 , pp. 169-190
    • Hoogendoorn, S.P.1    Bovy, P.H.L.2
  • 120
    • 2542446484 scopus 로고    scopus 로고
    • Dynamic user-optimal assignment in continuous time and space
    • DOI 10.1016/j.trb.2002.12.001, PII S0191261503000626
    • L. S. HOOGENDOORN AND P. H. L. BOVY, Dynamic user-optimal assignment in continuous time and space, Transp. Res. B, 38(2004), pp. 571-592. (Pubitemid 38688725)
    • (2004) Transportation Research Part B: Methodological , vol.38 , Issue.7 , pp. 571-592
    • Hoogendoorn, S.P.1    Bovy, P.H.L.2
  • 121
    • 2342521296 scopus 로고    scopus 로고
    • Walking infrastructure design assignment by continuous space dynamic assignment modeling
    • L. S. HOOGENDOORN, P. H. L. BOVY, AND W. DAAMEN, Walking infrastructure design assignment by continuous space dynamic assignment modeling, J. Adv. Transp., 38(2004), pp. 69-92.
    • (2004) J. Adv. Transp. , vol.38 , pp. 69-92
    • Hoogendoorn, L.S.1    Bovy, P.H.L.2    Daamen, W.3
  • 122
    • 55049132227 scopus 로고    scopus 로고
    • Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm
    • L. HUANG, S. C. WONG, M. ZHANG, C. W. SHU, AND W. H. K. LAM, Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm, Transp. Res. B, 43(2009), pp. 127-141.
    • (2009) Transp. Res. B , vol.43 , pp. 127-141
    • Huang, L.1    Wong, S.C.2    Zhang, M.3    Shu, C.W.4    Lam, W.H.K.5
  • 123
    • 0036643318 scopus 로고    scopus 로고
    • A continuum theory for the flow of pedestrians
    • R. L. HUGHES, A continuum theory for the flow of pedestrians, Transp. Res. B, 36(2002), pp. 507-536.
    • (2002) Transp. Res. B , vol.36 , pp. 507-536
    • Hughes, R.L.1
  • 124
    • 0346245136 scopus 로고    scopus 로고
    • The flow of human crowds
    • R. L. HUGHES, The flow of human crowds, Annu. Rev. Fluid Mech., 35(2003), pp. 169-183.
    • (2003) Annu. Rev. Fluid Mech. , vol.35 , pp. 169-183
    • Hughes, R.L.1
  • 125
    • 0036605010 scopus 로고    scopus 로고
    • A new continuum model for traffic flow and numerical tests
    • DOI 10.1016/S0191-2615(01)00010-8, PII S0191261501000108
    • R. JIANG, Q. S. WU, AND Z. J. ZHU, A new continuum model for traffic flow and numerical tests, Transp. Res. B, 36(2002), pp. 405-419. (Pubitemid 34306163)
    • (2002) Transportation Research Part B: Methodological , vol.36 , Issue.5 , pp. 405-419
    • Jiang, R.1    Wu, Q.-S.2    Zhu, Z.-J.3
  • 128
    • 0001819798 scopus 로고    scopus 로고
    • Phase transitions in traffic flow
    • D. Helbing, H. Hermann, M. Schreckenberg, and D. Wolf, eds., Springer, New York
    • B. S. KERNER, Phase transitions in traffic flow, in Traffic and Granular Flow, D. Helbing, H. Hermann, M. Schreckenberg, and D. Wolf, eds., Springer, New York, 2000, pp. 253-283.
    • (2000) Traffic and Granular Flow , pp. 253-283
    • Kerner, B.S.1
  • 129
    • 44449092061 scopus 로고    scopus 로고
    • A theory of traffic congestion at heavy bottleneck
    • article 215101
    • B. S. KERNER, A theory of traffic congestion at heavy bottleneck, J. Phys. A, 41(2008), article 215101.
    • (2008) J. Phys. A , vol.41
    • Kerner, B.S.1
  • 130
    • 0036170562 scopus 로고    scopus 로고
    • Synchronized flow as a new traffic phase and related problems for traffic flow modelling
    • PII S0895717701001789
    • B. S. KERNER, Synchronized flow as a new traffic phase and related problems for traffic flow modelling, Math. Comput. Modelling, 35(2002), pp. 481-508. (Pubitemid 34143618)
    • (2002) Mathematical and Computer Modelling , vol.35 , Issue.5-6 , pp. 481-508
    • Kerner, B.S.1
  • 131
    • 0037169449 scopus 로고    scopus 로고
    • A microscopic model for phase transitions in traffic flow
    • B. S. KERNER AND S. L. KLENOV, A microscopic model for phase transitions in traffic flow, J. Phys. A, 35(2002), pp. 31-43.
    • (2002) J. Phys. A , vol.35 , pp. 31-43
    • Kerner, B.S.1    Klenov, S.L.2
  • 132
    • 0002562202 scopus 로고
    • Structure and parameters of clusters in traffic flow
    • B. S. KERNER AND P. KONHÄUSER, Structure and parameters of clusters in traffic flow, Phys. Rev. E, 50(1994), pp. 54-83.
    • (1994) Phys. Rev. E , vol.50 , pp. 54-83
    • Kerner, B.S.1    Konhäuser, P.2
  • 133
    • 35949005957 scopus 로고
    • Cluster effect in initially homogeneous traffic flow
    • B. S. KERNER AND P. KONHÄUSER, Cluster effect in initially homogeneous traffic flow, Phys. Rev. E., 48(1993), pp. 2335-2338.
    • (1993) Phys. Rev. E. , vol.48 , pp. 2335-2338
    • Kerner, B.S.1    Konhäuser, P.2
  • 134
    • 4243332156 scopus 로고    scopus 로고
    • Experimental properties of phase transitions in traffic flow
    • B. S. KERNER AND P. KONHÄUSER, Experimental properties of phase transition in traffic flow, Phys. Rev. Lett., 79(1997), pp. 4030-4033. (Pubitemid 127645146)
    • (1997) Physical Review Letters , vol.79 , Issue.20 , pp. 4030-4033
    • Kerner, B.S.1    Rehborn, H.2
  • 135
    • 11744273781 scopus 로고
    • Deterministic spontaneous appearance of t raffic jams in slightly inhomogeneous traffic flows
    • B. S. KERNER, P. KONHÄUSER, AND M. SCHILKE, Deterministic spontaneous appearance of t raffic jams in slightly inhomogeneous traffic flows, Phys. Rev. E, 51(1995), pp. 6243-6248.
    • (1995) Phys. Rev. E , vol.51 , pp. 6243-6248
    • Kerner, B.S.1    Konhäuser, P.2    Schilke, M.3
  • 136
    • 4243882629 scopus 로고    scopus 로고
    • Experimental properties of complexity in traffic flow
    • B. S. KERNER AND H. REHBORN, Experimental properties of complexity in traffic flow, Phys. Rev. E, 53(1996), pp. 4275-4278.
    • (1996) Phys. Rev. E , vol.53 , pp. 4275-4278
    • Kerner, B.S.1    Rehborn, H.2
  • 138
    • 0031116106 scopus 로고    scopus 로고
    • Enskog-like kinetic models for vehicular traffic
    • A. KLAR AND R. WEGENER, Enskog-like kinetic models for vehicular traffic, J. Statist. Phys., 87(1997), pp. 91-114.
    • (1997) J. Statist. Phys. , vol.87 , pp. 91-114
    • Klar, A.1    Wegener, R.2
  • 139
    • 0342404881 scopus 로고    scopus 로고
    • A hierarchy of models for multilane vehicular traffic I: Modeling
    • A. KLAR AND R. WEGENER, A hierarchy of models for multilane vehicular traffic I: Modeling, SIAM J. Appl. Math., 59(1999), pp. 983-1001.
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 983-1001
    • Klar, A.1    Wegener, R.2
  • 140
    • 0033658831 scopus 로고    scopus 로고
    • Kinetic derivation of macroscopic anticipation models for vehicular traffic
    • A. KLAR AND R. WEGENER, Kinetic derivation of macroscopic anticipation models for vehicular traffic, SIAM J. Appl. Math., 60(2000), pp. 1749-1766.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1749-1766
    • Klar, A.1    Wegener, R.2
  • 141
    • 0003239264 scopus 로고    scopus 로고
    • Kinetic traffic flow models
    • N. Bellomo and M. Pulvirenti, eds., Birkhäuser, Boston
    • A. KLAR AND R. WEGENER, Kinetic traffic flow models, in Modeling in Applied Sciences: A Kinetic Theory Approach, N. Bellomo and M. Pulvirenti, eds., Birkhäuser, Boston, 2000, pp. 263-316.
    • (2000) Modeling in Applied Sciences: A Kinetic Theory Approach , pp. 263-316
    • Klar, A.1    Wegener, R.2
  • 142
    • 70249137922 scopus 로고    scopus 로고
    • Traffic flow on a toll highway with electronic and traditional tollgates
    • K. KOMADA, S. MAKUSURA, AND T. NAGATANI, Traffic flow on a toll highway with electronic and traditional tollgates, Phys. A, 388(2009), pp. 4979-4990.
    • (2009) Phys. A , vol.388 , pp. 4979-4990
    • Komada, K.1    Makusura, S.2    Nagatani, T.3
  • 143
    • 0001899093 scopus 로고
    • Macroscopic freeway model for dense traffic-stop-start waves and incident detection
    • N. Vollumler, ed., VNU Science Press
    • R. D. KÜHNE, Macroscopic freeway model for dense traffic-stop-start waves and incident detection, in Transportation and Traffic Theory, N. Vollumler, ed., VNU Science Press, 1984, pp. 21-42.
    • (1984) Transportation and Traffic Theory , pp. 21-42
    • Kühne, R.D.1
  • 144
    • 0002051795 scopus 로고
    • Freeway speed distribution and acceleration noise
    • N. H. Gartner and N. H. M. Wilson, eds., Elsevier, Amsterdam
    • R. D. KÜHNE, Freeway speed distribution and acceleration noise, in Transportation and Traffic Theory, N. H. Gartner and N. H. M. Wilson, eds., Elsevier, Amsterdam, 1987, pp. 119-137.
    • (1987) Transportation and Traffic Theory , pp. 119-137
    • Kühne, R.D.1
  • 145
    • 0002483065 scopus 로고
    • Freeway control using a dynamic traffic flow model and vehicle reidentification techniques
    • R. D. KÜHNE, Freeway control using a dynamic traffic flow model and vehicle reidentification techniques, Transp. Res., 1320(1991), pp. 251-259.
    • (1991) Transp. Res. , vol.1320 , pp. 251-259
    • Kühne, R.D.1
  • 147
    • 0002593604 scopus 로고    scopus 로고
    • Modelling vehicular traffic flow on networks using macroscopic models
    • F. Benkhaldoun and R. Vilsmeier, eds., Duisburg Press
    • J. P. LEBAQUE AND M. KHOSHYARAN, Modelling vehicular traffic flow on networks using macroscopic models, in Finite Volumes for Complex Applications: Problems and Perspectives, F. Benkhaldoun and R. Vilsmeier, eds., Duisburg Press, 1999, pp. 551-559.
    • (1999) Finite Volumes for Complex Applications: Problems and Perspectives , pp. 551-559
    • Lebaque, J.P.1    Khoshyaran, M.2
  • 148
    • 23944431957 scopus 로고    scopus 로고
    • A review of probabilistic macroscopic models for swarm robotic systems
    • Swarm Robotics - SAB 2004 International Workshop
    • K. LERMAN, A. MARTINOLI, AND A. GALSTYAN, A review of probabilistic macroscopic models for swarm robotic systems, in Swarm Robotics Workshop: State-of-the-Art Survey, E. Sahin and W. M. Spears, eds., Springer, 2005, pp. 143-152. (Pubitemid 41191111)
    • (2005) Lecture Notes in Computer Science , vol.3342 , pp. 143-152
    • Lerman, K.1    Martinoli, A.2    Galstyan, A.3
  • 151
    • 0000090588 scopus 로고
    • On the kinematic waves II. A theory of traffic flow on long crowded roads
    • M. J. LIGHTHILL AND G. B. WHITHAM, On the kinematic waves II. A theory of traffic flow on long crowded roads, Proc. Roy. Soc. London Ser. A, 199(1975), pp. 317-345.
    • (1975) Proc. Roy. Soc. London Ser. A , vol.199 , pp. 317-345
    • Lighthill, M.J.1    Whitham, G.B.2
  • 152
    • 0036169949 scopus 로고    scopus 로고
    • A personalized kinetic model of traffic flow
    • PII S0895717701001856
    • M. LO SCHIAVO, A personalized kinetic model of traffic flow, Math. Comput. Modelling, 35(2002), pp. 607-622. (Pubitemid 34143625)
    • (2002) Mathematical and Computer Modelling , vol.35 , Issue.5-6 , pp. 607-622
    • Lo Schiavo, M.1
  • 154
    • 0036171701 scopus 로고    scopus 로고
    • Nonlinear hydrodynamic models in the presence of tollgates
    • A. MARASCO, Nonlinear hydrodynamic models in the presence of tollgates, Math. Comput. Modelling, 35(2002), pp. 549-560.
    • (2002) Math. Comput. Modelling , vol.35 , pp. 549-560
    • Marasco, A.1
  • 155
  • 156
    • 33947377438 scopus 로고    scopus 로고
    • Theory and simulation for jamming transitions induced by a slow vehicle in traffic flow
    • DOI 10.1016/j.physa.2006.12.012, PII S0378437106013616
    • S. MASUKUTA, T. NAGATANI, K. TANAKA, AND H. HANAURA, Theory and simulation for jamming transition induced by a slow vehicle in traffic flow, Phys. A, 379(2007), pp. 263-273. (Pubitemid 46453035)
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.379 , Issue.1 , pp. 263-273
    • Masukura, S.1    Nagatani, T.2    Tanaka, K.3    Hanaura, H.4
  • 158
    • 26944494660 scopus 로고
    • Continuum modeling of traffic dynamics for congested freeways
    • R. MICHALOPOULOS, P. YI, AND A. S. LYRINTZIS, Continuum modeling of traffic dynamics for congested freeways, Transp. Res. B, 27(1993), pp. 315-332.
    • (1993) Transp. Res. B , vol.27 , pp. 315-332
    • Michalopoulos, R.1    Yi, P.2    Lyrintzis, A.S.3
  • 160
    • 1342268227 scopus 로고    scopus 로고
    • Mutual interactions, potentials, and individual distance in a social aggregation
    • DOI 10.1007/s00285-003-0209-7
    • A. MOGILNER, L. EDELSTEIN-KESHET, L. BENT, AND A. SPIROS, Mutual interactions, potentials, and individual distance in a social aggregation, J. Math. Biol., 47(2003), pp. 353-389. (Pubitemid 38261040)
    • (2003) Journal of Mathematical Biology , vol.47 , Issue.4 , pp. 353-389
    • Mogilner, A.1    Edelstein-Keshet, L.2    Bent, L.3    Spiros, A.4
  • 162
    • 0032641860 scopus 로고    scopus 로고
    • Jamming transition in pedestrian counter flow
    • M. MURAMATSU AND T. NAGATANI, Jamming transition in pedestrian counter flow, Phys. A, 267(1999), pp. 487-498.
    • (1999) Phys. A , vol.267 , pp. 487-498
    • Muramatsu, M.1    Nagatani, T.2
  • 165
    • 0001232636 scopus 로고
    • A cellular automaton model for freeway traffic
    • K. NAGEL AND M. SCHRECKENBERG, A cellular automaton model for freeway traffic, J. Physique I, 2(1992), pp. 2221-2229.
    • (1992) J. Physique I , vol.2 , pp. 2221-2229
    • Nagel, K.1    Schreckenberg, M.2
  • 166
    • 2942750902 scopus 로고    scopus 로고
    • Still flowing: Approaches to traffic flow and traffic jam modeling
    • K. NAGEL, P. WAGNER, AND R. WOESLER, Still flowing: Approaches to traffic flow and traffic jam modeling, Oper. Res., 51(2003), pp. 681-710.
    • (2003) Oper. Res. , vol.51 , pp. 681-710
    • Nagel, K.1    Wagner, P.2    Woesler, R.3
  • 167
    • 41349104221 scopus 로고    scopus 로고
    • Instability of pedestrian flow and phase structure in two-dimensional optimal velocity model
    • article 036121
    • A. NAKAYAMA, Y. SUGIYAMA, AND K. HASEBE, Instability of pedestrian flow and phase structure in two-dimensional optimal velocity model, Phys. Rev. E, 71(2005), article 036121.
    • (2005) Phys. Rev. E , vol.71
    • Nakayama, A.1    Sugiyama, Y.2    Hasebe, K.3
  • 168
    • 21844517333 scopus 로고
    • A kinetic model of vehicular traffic and its associated bimodal equilibrium solution
    • P. NELSON, A kinetic model of vehicular traffic and its associated bimodal equilibrium solution, Transp. Theory Statist. Phys., 24(1995), pp. 383-409.
    • (1995) Transp. Theory Statist. Phys. , vol.24 , pp. 383-409
    • Nelson, P.1
  • 169
    • 0036173264 scopus 로고    scopus 로고
    • Traveling-wave solutions of the diffusively corrected kinematic-wave model
    • P. NELSON, Traveling-wave solutions of the diffusively corrected kinematic-wave model, Math. Comput. Modelling, 35(2002), pp. 561-580.
    • (2002) Math. Comput. Modelling , vol.35 , pp. 561-580
    • Nelson, P.1
  • 171
    • 0032219179 scopus 로고    scopus 로고
    • The Prigogine-Herman kinetic model predicts widely scattered traffic flow data at high concentration
    • P. NELSON AND P. SOPASAKIS, The Prigogine-Herman kinetic model predicts widely scattered traffic flow data at high concentration, Transp. Res. B, 32(1998), pp. 589-603.
    • (1998) Transp. Res. B , vol.32 , pp. 589-603
    • Nelson, P.1    Sopasakis, P.2
  • 172
    • 0000826410 scopus 로고
    • Nonlinear effects in the dynamics of car following
    • G. F. NEWELL, Nonlinear effects in the dynamics of car following, Oper. Res., 9(1961), pp. 209-229.
    • (1961) Oper. Res. , vol.9 , pp. 209-229
    • Newell, G.F.1
  • 173
    • 0036497630 scopus 로고    scopus 로고
    • A simplified car-following theory: A lower order model
    • DOI 10.1016/S0191-2615(00)00044-8, PII S0191261500000448
    • G. F. NEWELL, A simplified car-following theory: A lower order model, Transp. Res. B, 36(2002), pp. 195-205 (Pubitemid 34045951)
    • (2002) Transportation Research Part B: Methodological , vol.36 , Issue.3 , pp. 195-205
    • Newell, G.F.1
  • 174
    • 34250710561 scopus 로고
    • A study of pedestrian movement in architectural space. Part 2: Concentrated pedestrian movement
    • S. OKAZAKI, A study of pedestrian movement in architectural space. Part 2: Concentrated pedestrian movement, Trans. Architect. Inst. Japan, 284(1979), pp. 101-110.
    • (1979) Trans. Architect. Inst. Japan , vol.284 , pp. 101-110
    • Okazaki, S.1
  • 175
    • 0022854743 scopus 로고
    • Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds
    • A. OKUBO, Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds, Adv. Biophys., 22(1986), pp. 1-94.
    • (1986) Adv. Biophys. , vol.22 , pp. 1-94
    • Okubo, A.1
  • 176
    • 33748699270 scopus 로고    scopus 로고
    • The dynamics of animal grouping
    • 2nd ed., A. Okubo and S. Levin, eds., Interdiscip. Appl. Math. 14., Springer, New York
    • A. OKUBO, D. GRUNBAUM, AND L. EDELSTEIN-KESHET, The dynamics of animal grouping, in Diffusion and Ecological Problems, 2nd ed., A. Okubo and S. Levin, eds., Interdiscip. Appl. Math. 14., Springer, New York, 1999, pp. 197-237.
    • (1999) Diffusion and Ecological Problems , pp. 197-237
    • Okubo, A.1    Grunbaum, D.2    Edelstein-Keshet, L.3
  • 178
    • 0016543519 scopus 로고
    • On Boltzmann like treatments for traffic flow
    • S. PAVERI FONTANA, On Boltzmann like treatments for traffic flow, Transp. Res., 9(1975), pp. 225-235.
    • (1975) Transp. Res. , vol.9 , pp. 225-235
    • Paveri Fontana, S.1
  • 179
    • 0002957952 scopus 로고
    • Models of freeway traffic and control
    • G. A. Bekey, ed., Simulation Councils Proceed. Ser. 1, La Jolla, CA
    • H. J. PAYNE, Models of freeway traffic and control, in Mathematical Models of Public Systems, G. A. Bekey, ed., Simulation Councils Proceed. Ser. 1, La Jolla, CA, 1971, pp. 51-60.
    • (1971) Mathematical Models of Public Systems , pp. 51-60
    • Payne, H.J.1
  • 180
    • 2142694481 scopus 로고    scopus 로고
    • Mathematical tools for kinetic equations
    • DOI 10.1090/S0273-0979-04-01004-3, PII S0273097904010043
    • B. PERTHAME, Mathematical tools for kinetic equations, Bull. Amer. Math. Soc., 41(2004), pp. 205-244. (Pubitemid 38545980)
    • (2004) Bulletin of the American Mathematical Society , vol.41 , Issue.2 , pp. 205-244
    • Perthame, B.1
  • 181
    • 0018320049 scopus 로고
    • A kinetic model for traffic flow with continuum implications
    • W. F. PHILLIPS, A kinetic model for traffic flow with continuum implications, Transp. Planning Technol., 5(1979), pp. 131-138.
    • (1979) Transp. Planning Technol. , vol.5 , pp. 131-138
    • Phillips, W.F.1
  • 182
    • 68149136534 scopus 로고    scopus 로고
    • Pedestrian flows in bounded domains with obstacles
    • B. PICCOLI AND A. TOSIN, Pedestrian flows in bounded domains with obstacles, Contin. Mech. Thermodyn., 21(2009), pp. 85-117.
    • (2009) Contin. Mech. Thermodyn. , vol.21 , pp. 85-117
    • Piccoli, B.1    Tosin, A.2
  • 183
    • 79951811654 scopus 로고    scopus 로고
    • Time evolving measures and macroscopic modeling of pedestrian flows
    • B. PICCOLI AND A. TOSIN, Time evolving measures and macroscopic modeling of pedestrian flows, Arch. Rational Mech. Anal., 199(2011), pp. 707-738.
    • (2011) Arch. Rational Mech. Anal. , vol.199 , pp. 707-738
    • Piccoli, B.1    Tosin, A.2
  • 184
    • 36849121602 scopus 로고
    • An operational analysis of traffic dynamics
    • L. A. PIPES, An operational analysis of traffic dynamics, J. Appl. Phys., 24(1953), pp. 274-287.
    • (1953) J. Appl. Phys. , vol.24 , pp. 274-287
    • Pipes, L.A.1
  • 186
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • P. I. RICHARDS, Shock waves on the highway, Oper. Res., 4(1956), pp. 42-51.
    • (1956) Oper. Res. , vol.4 , pp. 42-51
    • Richards, P.I.1
  • 187
    • 0000071885 scopus 로고
    • A simplified theory of kinematic waves in highway traffic
    • P. I. RICHARDS, A simplified theory of kinematic waves in highway traffic, Transp. Res. B, 27(1993), pp. 281-287.
    • (1993) Transp. Res. B , vol.27 , pp. 281-287
    • Richards, P.I.1
  • 188
    • 38049016237 scopus 로고
    • Car following models
    • N. Gartner, C. J. Messer, and A. K. Rathi, eds., Transportation Research Board, Special Report
    • R. W. ROTHERY, Car following models, in Traffic Flow Theory, N. Gartner, C. J. Messer, and A. K. Rathi, eds., Transportation Research Board, Special Report 165, 1992.
    • (1992) Traffic Flow Theory , pp. 165
    • Rothery, R.W.1
  • 190
    • 27744488816 scopus 로고    scopus 로고
    • The fundamental diagram of pedestrian movement revisited
    • article P10002
    • A. SEYFRIED, B. STEFFEN, W. KLINGSCH, AND M. BOLTES, The fundamental diagram of pedestrian movement revisited, J. Statist. Mech., 10(2005), article P10002.
    • (2005) J. Statist. Mech. , vol.10
    • Seyfried, A.1    Steffen, B.2    Klingsch, W.3    Boltes, M.4
  • 191
    • 34347236925 scopus 로고    scopus 로고
    • Fractal nature of traffic data
    • P. SHANG, M. WAN, AND S. KAMA, Fractal nature of traffic data, Comput. Math. Appl., 54(2007), pp. 107-116.
    • (2007) Comput. Math. Appl. , vol.54 , pp. 107-116
    • Shang, P.1    Wan, M.2    Kama, S.3
  • 192
    • 0000607596 scopus 로고
    • The schooling of fishes
    • E. SHAW, The schooling of fishes, Sci. Amer., 206(1962), pp. 128-138.
    • (1962) Sci. Amer. , vol.206 , pp. 128-138
    • Shaw, E.1
  • 195
    • 33744952332 scopus 로고    scopus 로고
    • On the fundamental diagram of traffic flow
    • DOI 10.1137/050627113
    • F. SIEBEL AND W. MAUSER, On the fundamental diagram of traffic flow, SIAM J. Appl. Math., 66(2006), pp. 1150-1162. (Pubitemid 44231185)
    • (2006) SIAM Journal on Applied Mathematics , vol.66 , Issue.4 , pp. 1150-1162
    • Siebel, F.1    Mauser, W.2
  • 196
    • 0036172692 scopus 로고    scopus 로고
    • Reproducible features of congested highway traffic
    • C. SMILOWITZ AND C. F. DAGANZO, Reproducible features of congested highway traffic, Math. Comput. Modelling, 35(2002), pp. 509-516.
    • (2002) Math. Comput. Modelling , vol.35 , pp. 509-516
    • Smilowitz, C.1    Daganzo, C.F.2
  • 197
    • 27744538042 scopus 로고    scopus 로고
    • Crowd synchrony on the Millennium Bridge
    • DOI 10.1038/43843a, PII 43843
    • S. H. STROGATZ, D. M. ABRAMS, A. MCROBIE, B. ECKHARDT, AND E. OTT, Crowd synchrony on the London Millennium Bridge, Nature, 348(2005), pp. 43-44. (Pubitemid 41599813)
    • (2005) Nature , vol.438 , Issue.7064 , pp. 43-44
    • Strogatz, S.H.1    Abrams, D.M.2    McRobie, A.3    Eckhardt, B.4    Ott, E.5
  • 198
    • 34247881635 scopus 로고    scopus 로고
    • Lane changing analysis for two-lane traffic flow
    • DOI 10.1007/s10409-007-0054-9
    • T. TANG, H. HUANG, S. C. WONG, AND R. JIANG, Lane changing analysis for two-lane traffic flow, Acta Mech. Sin., 23(2007), pp. 49-54. (Pubitemid 47137118)
    • (2007) Acta Mechanica Sinica/Lixue Xuebao , vol.23 , Issue.1 , pp. 49-54
    • Tang, T.1    Huang, H.2    Wong, S.C.3    Jiang, R.4
  • 199
    • 0007315410 scopus 로고
    • A proposed model for the driver-vehicle system: The car-following problem
    • E. P. TODOSIEV AND L. C. BARBOSA, A proposed model for the driver-vehicle system: The car-following problem, Traffic Engrg., 3(1964), pp. 17-20.
    • (1964) Traffic Engrg. , vol.3 , pp. 17-20
    • Todosiev, E.P.1    Barbosa, L.C.2
  • 201
    • 16244371027 scopus 로고    scopus 로고
    • Swarming patterns in a two-dimensional kinematic model for biological groups
    • C. M. TOPAZ AND A. L. BERTOZZI, Swarming patterns in a two-dimensional kinematic model for biological groups, SIAM J. Appl. Math., 65(2004), pp. 152-174.
    • (2004) SIAM J. Appl. Math. , vol.65 , pp. 152-174
    • Topaz, C.M.1    Bertozzi, A.L.2
  • 202
    • 0003678538 scopus 로고
    • Highway capacity manual
    • Transporation Research Board, TRB, Washington, DC
    • Transporation Research Board, Highway Capacity Manual, Special Report 204, TRB, Washington, DC, 1985.
    • (1985) Special Report 204
  • 203
    • 0034239164 scopus 로고    scopus 로고
    • Congested traffic states in empirical observations and microscopic simulations
    • M. TREIBER, A. HENNECKE, AND D. HELBING, Congested traffic states in empirical observations and microscopic simulations, Phys. Rev. E, 62(2000), pp. 1805-1824.
    • (2000) Phys. Rev. E , vol.62 , pp. 1805-1824
    • Treiber, M.1    Hennecke, A.2    Helbing, D.3
  • 205
    • 0007258871 scopus 로고    scopus 로고
    • Microsimulations of freeway traffic including control measures
    • M. TREIBER AND D. HELBING, Microsimulations of freeway traffic including control measures, Automatisierungstechnik, 49(2001), pp. 478-484. (Pubitemid 33360271)
    • (2001) Automatisierungstechnik , vol.49 , Issue.11 , pp. 478-484
    • Treiber, M.1    Helbing, D.2
  • 206
    • 77954007396 scopus 로고    scopus 로고
    • Continuum crowds
    • DOI 10.1145/1141911.1142008, ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2006
    • A. TREUILLE, S. COOPER, AND Z. POPOVIC, Continuum crowds, ACM Trans. Graph., 25(2006), pp. 1160-1168. (Pubitemid 44481080)
    • (2006) ACM Transactions on Graphics , vol.25 , Issue.3 , pp. 1160-1168
    • Treuille, A.1    Cooper, S.2    Popovic, Z.3
  • 207
    • 38749103885 scopus 로고    scopus 로고
    • Interacting plymerase motors on a DNA track: Effects of traffic congestion and intrinsic noise on RNA synthesis
    • article 011921
    • T. TRIPATHI AND D. CHOWDHURY, Interacting plymerase motors on a DNA track: Effects of traffic congestion and intrinsic noise on RNA synthesis, Phys. Rev. E., 77(2008), article 011921.
    • (2008) Phys. Rev. E. , vol.77
    • Tripathi, T.1    Chowdhury, D.2
  • 208
    • 40949144796 scopus 로고    scopus 로고
    • A dynamical system approach based on averaging to model the macroscopic flow of freeway traffic
    • V. TYAGI, S. DARBHA, AND K. R. RAJAGOPAL, A dynamical system approach based on averaging to model the macroscopic flow of freeway traffic, Nonlinear Anal. Hybrid Syst., 2(2008), pp. 590-612.
    • (2008) Nonlinear Anal. Hybrid Syst. , vol.2 , pp. 590-612
    • Tyagi, V.1    Darbha, S.2    Rajagopal, K.R.3
  • 209
    • 34247577157 scopus 로고    scopus 로고
    • An interpretative model of the pedestrian fundamental relation
    • F. VENUTI AND L. BRUNO, An interpretative model of the pedestrian fundamental relation, C. R. Mécanique, 335(2007), pp. 252-269.
    • (2007) C. R. Mécanique , vol.335 , pp. 252-269
    • Venuti, F.1    Bruno, L.2
  • 210
    • 69849112926 scopus 로고    scopus 로고
    • Crowd structure interaction in lively footbridges under synchronous lateral excitation: A literature review
    • F. VENUTI AND L. BRUNO, Crowd structure interaction in lively footbridges under synchronous lateral excitation: A literature review, Phys. Life Rev., 6(2009), pp. 176-206.
    • (2009) Phys. Life Rev. , vol.6 , pp. 176-206
    • Venuti, F.1    Bruno, L.2
  • 211
    • 33750958713 scopus 로고    scopus 로고
    • Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges
    • DOI 10.1016/j.mcm.2006.04.007, PII S0895717706001828
    • F. VENUTI, L. BRUNO, AND N. BELLOMO, Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges, Math. Comput. Modelling, 45(2007), pp. 252-269. (Pubitemid 44739237)
    • (2007) Mathematical and Computer Modelling , vol.45 , Issue.3-4 , pp. 252-269
    • Venuti, F.1    Bruno, L.2    Bellomo, N.3
  • 214
    • 14044275007 scopus 로고    scopus 로고
    • Laying the foundations: The use of video footage to explore pedestrian dynamics
    • M. Schreckenberg and S. Sharma, eds., Springer, Berlin
    • A. WILLIS, R. KUKLA, J. KERRIDGE, AND J. HINE, Laying the foundations: The use of video footage to explore pedestrian dynamics, in Pedestrian and Evacuation Dynamics, M. Schreckenberg and S. Sharma, eds., Springer, Berlin, 2001, pp. 181-186.
    • (2001) Pedestrian and Evacuation Dynamics , pp. 181-186
    • Willis, A.1    Kukla, R.2    Kerridge, J.3    Hine, J.4
  • 215
    • 35248833727 scopus 로고    scopus 로고
    • Modeling crowd turbulence by many-particle simulations
    • article 046105
    • W. YU AND A. JOHANSSON, Modeling crowd turbulence by many-particle simulations, Phys. Rev. E, 76(2007), article 046105.
    • (2007) Phys. Rev. E , vol.76
    • Yu, W.1    Johansson, A.2
  • 216
    • 0001888142 scopus 로고    scopus 로고
    • New perspectives on continuum traffic flow models
    • H. M. ZHANG, New perspectives on continuum traffic flow models, Networks Spatial Econom., 1(2001), pp. 9-33.
    • (2001) Networks Spatial Econom. , vol.1 , pp. 9-33
    • Zhang, H.M.1
  • 217
    • 0036497648 scopus 로고    scopus 로고
    • A non-equilibrium traffic model devoid of gas-like behavior
    • DOI 10.1016/S0191-2615(00)00050-3, PII S0191261500000503
    • H. M. ZHANG, A non-equilibrium traffic flow model devoid of gas-like behavior, Transp. Res. B, 36(2002), pp. 275-290. (Pubitemid 34043312)
    • (2002) Transportation Research Part B: Methodological , vol.36 , Issue.3 , pp. 275-290
    • Zhang, H.M.1
  • 218
    • 0032158275 scopus 로고    scopus 로고
    • A theory of non-equilibrium traffic flow
    • H. M. ZHANG, A theory of non-equilibrium traffic flow, Transp. Res. B, 32(1998), pp. 485-498.
    • (1998) Transp. Res. B , vol.32 , pp. 485-498
    • Zhang, H.M.1
  • 219
    • 0038405015 scopus 로고    scopus 로고
    • Anisotropic properties revisited: Does it hold in multilane traffic?
    • H. M. ZHANG, Anisotropic properties revisited: Does it hold in multilane traffic?, Transp. Res. B, 36(2002), pp. 561-577.
    • (2002) Transp. Res. B , vol.36 , pp. 561-577
    • Zhang, H.M.1
  • 220
    • 67650266275 scopus 로고    scopus 로고
    • Comment on "On the controversy around Daganzo's requiem for the Aw-Rascle's resurrection of second-order traffic flow models" by D. Helbing and A. F. Johansson
    • H. M. ZHANG, Comment on "On the controversy around Daganzo's requiem for the Aw-Rascle's resurrection of second-order traffic flow models" by D. Helbing and A. F. Johansson, Transp. Res. B, 69(2009), p. 563.
    • (2009) Transp. Res. B , vol.69 , pp. 563
    • Zhang, H.M.1
  • 221
    • 10444258099 scopus 로고    scopus 로고
    • A car-following theory for multiphase vehicular traffic flow
    • DOI 10.1016/j.trb.2004.06.005, PII S0191261504000864
    • H. M. ZHANG AND T. KIM, A car-following theory for multiphase vehicular traffic flow, Transp. Res. B, 39(2005), pp. 385-399. (Pubitemid 39644874)
    • (2005) Transportation Research Part B: Methodological , vol.39 , Issue.5 , pp. 385-399
    • Zhang, H.M.1    Kim, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.