메뉴 건너뛰기




Volumn 29, Issue 6, 2009, Pages 1541-1555

A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows

Author keywords

76M12; conservation law; density velocity relationship; Eikonal type equation; fast marching method; finite volume method; pedestrian flows; unstructured grids

Indexed keywords


EID: 73549114064     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0252-9602(10)60002-1     Document Type: Article
Times cited : (55)

References (49)
  • 1
    • 85010603058 scopus 로고    scopus 로고
    • The nonmotorized core of Tianjin
    • Zacharias J. The nonmotorized core of Tianjin. Int J Sustainable Transport 1 4 (2007) 231-248
    • (2007) Int J Sustainable Transport , vol.1 , Issue.4 , pp. 231-248
    • Zacharias, J.1
  • 2
    • 70449585652 scopus 로고    scopus 로고
    • Influences of built environments on walking and cycling: Lessons from Bogota
    • Cervero R., Sarmiento O.L., Jacoby E., et al. Influences of built environments on walking and cycling: Lessons from Bogota. Int J Sustainable Transport 3 4 (2009) 203-226
    • (2009) Int J Sustainable Transport , vol.3 , Issue.4 , pp. 203-226
    • Cervero, R.1    Sarmiento, O.L.2    Jacoby, E.3
  • 3
    • 0346245136 scopus 로고    scopus 로고
    • The flow of human crowds
    • Hughes R.L. The flow of human crowds. Annu Rev Fluid Mech 35 10 (2003) 169-182
    • (2003) Annu Rev Fluid Mech , vol.35 , Issue.10 , pp. 169-182
    • Hughes, R.L.1
  • 4
    • 16344391062 scopus 로고    scopus 로고
    • Self-organized pedestrian crowd dynamics: Experiments, simulations, and design solutions
    • Helbing D., Buzna L., Johansson A., et al. Self-organized pedestrian crowd dynamics: Experiments, simulations, and design solutions. Transport Sci 39 1 (2005) 1-24
    • (2005) Transport Sci , vol.39 , Issue.1 , pp. 1-24
    • Helbing, D.1    Buzna, L.2    Johansson, A.3
  • 5
    • 34247235039 scopus 로고    scopus 로고
    • The dynamics of crowd disasters: An empirical study
    • Helbing D., Johansson A., and Al-Abideen H.Z. The dynamics of crowd disasters: An empirical study. Phys Rev E 75 (2007) 046109
    • (2007) Phys Rev E , vol.75 , pp. 046109
    • Helbing, D.1    Johansson, A.2    Al-Abideen, H.Z.3
  • 6
    • 0032641860 scopus 로고    scopus 로고
    • Jamming transition in pedestrian counter flow
    • Muramatsu M., Irie T., and Nagatani T. Jamming transition in pedestrian counter flow. Physica A 267 (1999) 487-498
    • (1999) Physica A , vol.267 , pp. 487-498
    • Muramatsu, M.1    Irie, T.2    Nagatani, T.3
  • 7
    • 0033225776 scopus 로고    scopus 로고
    • Cellular automata microsimulation of bi-directional pedestrian flows
    • Blue V.J., and Adler J.L. Cellular automata microsimulation of bi-directional pedestrian flows. Transport Res Rec 1678 (2000) 135-141
    • (2000) Transport Res Rec , vol.1678 , pp. 135-141
    • Blue, V.J.1    Adler, J.L.2
  • 8
    • 0035263565 scopus 로고    scopus 로고
    • Cellular automata microsimulation for modeling bi-directional pedestrian walkways
    • Blue V.J., and Adler J.L. Cellular automata microsimulation for modeling bi-directional pedestrian walkways. Transport Res B 35 (2001) 293-312
    • (2001) Transport Res B , vol.35 , pp. 293-312
    • Blue, V.J.1    Adler, J.L.2
  • 9
    • 42149116274 scopus 로고    scopus 로고
    • Dynamic cell-transmission-based pedestrian model with multi-directional flows and strategic route choices
    • Asano M., Sumalee A., Kuwahara M., et al. Dynamic cell-transmission-based pedestrian model with multi-directional flows and strategic route choices. Transport Res Rec 2039 (2007) 42-49
    • (2007) Transport Res Rec , vol.2039 , pp. 42-49
    • Asano, M.1    Sumalee, A.2    Kuwahara, M.3
  • 10
    • 35949007691 scopus 로고
    • Social force model for pedestrian dynamics
    • Helbing D., and Molnár P. Social force model for pedestrian dynamics. Phys Rev E 51 (1995) 4282-4286
    • (1995) Phys Rev E , vol.51 , pp. 4282-4286
    • Helbing, D.1    Molnár, P.2
  • 11
    • 0034727079 scopus 로고    scopus 로고
    • Simulating dynamical features of escape panic
    • Helbing D., Farkas I., and Vicsek T. Simulating dynamical features of escape panic. Nature 407 6803 (2000) 487-490
    • (2000) Nature , vol.407 , Issue.6803 , pp. 487-490
    • Helbing, D.1    Farkas, I.2    Vicsek, T.3
  • 12
  • 13
    • 0344272298 scopus 로고    scopus 로고
    • Pedestrian route-choice and activity scheduling theory and models
    • Hoogendoorn S.P., and Bovy P.H.L. Pedestrian route-choice and activity scheduling theory and models. Transport Res B 38 2 (2004) 169-190
    • (2004) Transport Res B , vol.38 , Issue.2 , pp. 169-190
    • Hoogendoorn, S.P.1    Bovy, P.H.L.2
  • 14
    • 2542446484 scopus 로고    scopus 로고
    • Dynamic user-optimal assignment in continuous time and space
    • Hoogendoorn S.P., and Bovy P.H.L. Dynamic user-optimal assignment in continuous time and space. Transport Res B 38 7 (2004) 571-592
    • (2004) Transport Res B , vol.38 , Issue.7 , pp. 571-592
    • Hoogendoorn, S.P.1    Bovy, P.H.L.2
  • 15
    • 0006212847 scopus 로고    scopus 로고
    • The flow of large crowds of pedestrians
    • Hughes R.L. The flow of large crowds of pedestrians. Math Comput Simul 53 4 (2000) 367-370
    • (2000) Math Comput Simul , vol.53 , Issue.4 , pp. 367-370
    • Hughes, R.L.1
  • 16
    • 0036643318 scopus 로고    scopus 로고
    • A continuum theory for the flow of pedestrians
    • Hughes R.L. A continuum theory for the flow of pedestrians. Transport Res B 36 6 (2002) 507-535
    • (2002) Transport Res B , vol.36 , Issue.6 , pp. 507-535
    • Hughes, R.L.1
  • 17
    • 0035876651 scopus 로고    scopus 로고
    • Simulation of pedestrian dynamics using a two-dimensional cellular automaton
    • Burstedde C.K., Klauck K., Schadschneider A., et al. Simulation of pedestrian dynamics using a two-dimensional cellular automaton. Physica A 295 (2001) 507-535
    • (2001) Physica A , vol.295 , pp. 507-535
    • Burstedde, C.K.1    Klauck, K.2    Schadschneider, A.3
  • 18
    • 35248833727 scopus 로고    scopus 로고
    • Modeling crowd turbulence by many-particle simulations
    • Yu W.J., and Johansson A. Modeling crowd turbulence by many-particle simulations. Phys Rev E 76 (2007) 46105
    • (2007) Phys Rev E , vol.76 , pp. 46105
    • Yu, W.J.1    Johansson, A.2
  • 19
    • 55049132227 scopus 로고    scopus 로고
    • Revisiting Hughes dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm
    • Huang L., Wong S.C., Zhang M.P., et al. Revisiting Hughes dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm. Transport Res B 43 1 (2009) 127-141
    • (2009) Transport Res B , vol.43 , Issue.1 , pp. 127-141
    • Huang, L.1    Wong, S.C.2    Zhang, M.P.3
  • 20
    • 68149112016 scopus 로고    scopus 로고
    • Self-organization in pedestrian flow
    • Hoogendoorn S.P., Luding S., and Bovy P.H.L. (Eds), Springer, Berlin
    • Hoogendoorn S.P., and Daamen W. Self-organization in pedestrian flow. In: Hoogendoorn S.P., Luding S., and Bovy P.H.L. (Eds). Traffic and Granular Flow'03 (2005), Springer, Berlin 373-382
    • (2005) Traffic and Granular Flow'03 , pp. 373-382
    • Hoogendoorn, S.P.1    Daamen, W.2
  • 21
    • 19944401573 scopus 로고    scopus 로고
    • Pedestrian behavior at bottlenecks
    • Hoogendoorn S.P., and Daamen W. Pedestrian behavior at bottlenecks. Transport Sci 39 2 (2005) 147-159
    • (2005) Transport Sci , vol.39 , Issue.2 , pp. 147-159
    • Hoogendoorn, S.P.1    Daamen, W.2
  • 22
    • 0347533824 scopus 로고    scopus 로고
    • Experimental research of pedestrian walking behavior
    • Daamen W., and Hoogendoorn S.P. Experimental research of pedestrian walking behavior. Transport Res Rec 1828 (2003) 20-30
    • (2003) Transport Res Rec , vol.1828 , pp. 20-30
    • Daamen, W.1    Hoogendoorn, S.P.2
  • 23
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • Helbing D. Traffic and related self-driven many-particle systems. Rev Mod Phys 73 4 (2001) 1067-1141
    • (2001) Rev Mod Phys , vol.73 , Issue.4 , pp. 1067-1141
    • Helbing, D.1
  • 25
    • 0036723401 scopus 로고    scopus 로고
    • Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics
    • Kirchner A., and Schadschneider A. Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics. Physica A 312 (2002) 260-276
    • (2002) Physica A , vol.312 , pp. 260-276
    • Kirchner, A.1    Schadschneider, A.2
  • 26
    • 33748432735 scopus 로고    scopus 로고
    • Cellular automaton simulation of pedestrian counter flow with different walk velocities
    • Weng W.G., Chen T., and Yuan H.Y. Cellular automaton simulation of pedestrian counter flow with different walk velocities. Phys Rev E 74 (2006) 036102
    • (2006) Phys Rev E , vol.74 , pp. 036102
    • Weng, W.G.1    Chen, T.2    Yuan, H.Y.3
  • 27
    • 19944409314 scopus 로고    scopus 로고
    • Microscopic Dynamics of Pedestrian Evacuation
    • Parisi D.R., and Dorso C.O. Microscopic Dynamics of Pedestrian Evacuation. Physica A 354 (2005) 606-618
    • (2005) Physica A , vol.354 , pp. 606-618
    • Parisi, D.R.1    Dorso, C.O.2
  • 28
    • 21444458466 scopus 로고    scopus 로고
    • Modifications of the Helbing-Molnár-Farkas-Vicsek social-force model for pedestrian evolution
    • Lakoba T.I., Kaup D.J., and Finkelstein N.M. Modifications of the Helbing-Molnár-Farkas-Vicsek social-force model for pedestrian evolution. Simulation 81 5 (2005) 339-352
    • (2005) Simulation , vol.81 , Issue.5 , pp. 339-352
    • Lakoba, T.I.1    Kaup, D.J.2    Finkelstein, N.M.3
  • 29
    • 0034299475 scopus 로고    scopus 로고
    • Jamming transition of pedestrian traffic at a crossing with open boundaries
    • Muramatsu M., and Nagatani T. Jamming transition of pedestrian traffic at a crossing with open boundaries. Physica A 286 (2000) 377-390
    • (2000) Physica A , vol.286 , pp. 377-390
    • Muramatsu, M.1    Nagatani, T.2
  • 30
    • 42749102747 scopus 로고    scopus 로고
    • Lattice gas simulation of experimentally studied evacuation dynamics
    • Helbing D., Isobe M., Nagatani T., et al. Lattice gas simulation of experimentally studied evacuation dynamics. Phys Rev E 67 (2003) 067101
    • (2003) Phys Rev E , vol.67 , pp. 067101
    • Helbing, D.1    Isobe, M.2    Nagatani, T.3
  • 31
    • 36448992326 scopus 로고    scopus 로고
    • A mobile lattice gas model for simulating pedestrian evacuation
    • Guo R.Y., and Huang H.J. A mobile lattice gas model for simulating pedestrian evacuation. Physica A 387 (2008) 580-586
    • (2008) Physica A , vol.387 , pp. 580-586
    • Guo, R.Y.1    Huang, H.J.2
  • 32
    • 57849162805 scopus 로고    scopus 로고
    • An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model
    • Xia Y.H., Wong S.C., Zhang M.P., et al. An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model. Int J Numer Meth Engng 76 3 (2008) 337-350
    • (2008) Int J Numer Meth Engng , vol.76 , Issue.3 , pp. 337-350
    • Xia, Y.H.1    Wong, S.C.2    Zhang, M.P.3
  • 33
    • 0004058410 scopus 로고    scopus 로고
    • Aspects of unstructured grids and finite volume solvers for the Euler and Navier-Stokes equations
    • 787, 1999, 6.1-6.61
    • Barth T J. Aspects of unstructured grids and finite volume solvers for the Euler and Navier-Stokes equations. AGARD Report 787, 1999, 6.1-6.61
    • AGARD Report
    • Barth, T.J.1
  • 34
    • 0346736680 scopus 로고    scopus 로고
    • A comparative study of finite volume methods on unstructured meshes for simulation of 2D shallow water wave problems
    • Wang J.W., and Liu R.X. A comparative study of finite volume methods on unstructured meshes for simulation of 2D shallow water wave problems. Math Comput Simul 53 3 (2000) 171-184
    • (2000) Math Comput Simul , vol.53 , Issue.3 , pp. 171-184
    • Wang, J.W.1    Liu, R.X.2
  • 35
    • 40749127977 scopus 로고    scopus 로고
    • A high-order arbitrarily unstructured finite volume model of the global atmosphere: Tests solving the shallow water equations
    • Weller H., and Weller H.G. A high-order arbitrarily unstructured finite volume model of the global atmosphere: Tests solving the shallow water equations. Int J Numer Meth Fluids 56 8 (2008) 1589-1596
    • (2008) Int J Numer Meth Fluids , vol.56 , Issue.8 , pp. 1589-1596
    • Weller, H.1    Weller, H.G.2
  • 36
    • 0034705102 scopus 로고    scopus 로고
    • Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured mesh
    • Sethian J.A., and Vladimirsky A. Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured mesh. Proc Natl Acad Sci 97 11 (2000) 5699-5703
    • (2000) Proc Natl Acad Sci , vol.97 , Issue.11 , pp. 5699-5703
    • Sethian, J.A.1    Vladimirsky, A.2
  • 37
    • 33751231737 scopus 로고    scopus 로고
    • Computational study of fast methods for the Eikonal equations
    • Gremaud P.A., and Kuster C.M. Computational study of fast methods for the Eikonal equations. SIAM J Sci Comput 27 6 (2006) 1803-1816
    • (2006) SIAM J Sci Comput , vol.27 , Issue.6 , pp. 1803-1816
    • Gremaud, P.A.1    Kuster, C.M.2
  • 38
    • 73549089634 scopus 로고    scopus 로고
    • Bi-directional pedestrian stream model with oblique intersecting angle
    • in press
    • Wong S C, Leung W L, Chan S H, et al. Bi-directional pedestrian stream model with oblique intersecting angle. ASCE J Transport Engng, 2008, in press
    • (2008) ASCE J Transport Engng
    • Wong, S.C.1    Leung, W.L.2    Chan, S.H.3
  • 39
    • 0032219178 scopus 로고    scopus 로고
    • Multi-commodity traffic assignment by continuum approximation of network flow with variable demand
    • Wong S.C. Multi-commodity traffic assignment by continuum approximation of network flow with variable demand. Transport Res B 32 8 (1998) 567-581
    • (1998) Transport Res B , vol.32 , Issue.8 , pp. 567-581
    • Wong, S.C.1
  • 40
    • 0032299056 scopus 로고    scopus 로고
    • Finite element solution for the continuum traffic equilibrium problems
    • Wong S.C., Lee C.K., and Tong C.O. Finite element solution for the continuum traffic equilibrium problems. Int J Numer Meth Engng 43 7 (1998) 1253-1273
    • (1998) Int J Numer Meth Engng , vol.43 , Issue.7 , pp. 1253-1273
    • Wong, S.C.1    Lee, C.K.2    Tong, C.O.3
  • 41
    • 33646695474 scopus 로고    scopus 로고
    • Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes
    • Ho H.W., Wong S.C., and Loo B. Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes. Transport Res B 40 8 (2006) 633-650
    • (2006) Transport Res B , vol.40 , Issue.8 , pp. 633-650
    • Ho, H.W.1    Wong, S.C.2    Loo, B.3
  • 42
    • 38349047264 scopus 로고    scopus 로고
    • Housing allocation problem in a continuum transportation system
    • Ho H.W., and Wong S.C. Housing allocation problem in a continuum transportation system. Transportmetrica 3 1 (2007) 21-39
    • (2007) Transportmetrica , vol.3 , Issue.1 , pp. 21-39
    • Ho, H.W.1    Wong, S.C.2
  • 43
    • 49049107929 scopus 로고    scopus 로고
    • Existence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation system
    • Ho H.W., and Wong S.C. Existence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation system. Transportmetrica 3 2 (2007) 107-117
    • (2007) Transportmetrica , vol.3 , Issue.2 , pp. 107-117
    • Ho, H.W.1    Wong, S.C.2
  • 44
    • 0034333576 scopus 로고    scopus 로고
    • A predictive dynamic traffic assignment model in congested capacity-constrained road networks
    • Tong C.O., and Wong S.C. A predictive dynamic traffic assignment model in congested capacity-constrained road networks. Transport Res B 34 8 (2000) 625-644
    • (2000) Transport Res B , vol.34 , Issue.8 , pp. 625-644
    • Tong, C.O.1    Wong, S.C.2
  • 48
    • 0037263762 scopus 로고    scopus 로고
    • Explicit schemes for dam-break simulations
    • Zoppou C., and Roberts S. Explicit schemes for dam-break simulations. J Hydraul Engng 129 1 (2003) 11-34
    • (2003) J Hydraul Engng , vol.129 , Issue.1 , pp. 11-34
    • Zoppou, C.1    Roberts, S.2
  • 49
    • 45449125925 scopus 로고    scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J Comput Phys 77 2 (1998) 439-471
    • (1998) J Comput Phys , vol.77 , Issue.2 , pp. 439-471
    • Shu, C.W.1    Osher, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.