-
1
-
-
0033691480
-
Resur-rection of "second order" models of traffic flow
-
A. AW AND M. RASCLE, Resur-rection 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
-
2
-
-
0036706213
-
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
-
3
-
-
3142655881
-
A multiclass homogenized hyperbolic model of traffic flow
-
P. BAGNERINI AND M. RASCLE, A multiclass homogenized hyperbolic model of traffic flow, SIAM J. Math. Anal., 35 (2003), pp. 949-973.
-
(2003)
SIAM J. Math. Anal
, vol.35
, pp. 949-973
-
-
BAGNERINI, P.1
RASCLE, M.2
-
4
-
-
0036466705
-
A behavioral theory of multi-lane traffic flow, part I: Long homogeneous freeway sections
-
C. F. DAGANZO, A behavioral theory of multi-lane traffic flow, part I: Long homogeneous freeway sections, Transportation Res. B, 36 (2002), pp. 131-158.
-
(2002)
Transportation Res. B
, vol.36
, pp. 131-158
-
-
DAGANZO, C.F.1
-
5
-
-
0029416695
-
Requiem for second-order fluid approximations of traffic flow
-
C. F. DAGANZO, Requiem for second-order fluid approximations of traffic flow, Transportation Res. B, 29 (1995), pp. 277-286.
-
(1995)
Transportation Res. B
, vol.29
, pp. 277-286
-
-
DAGANZO, C.F.1
-
6
-
-
4544321875
-
Congestion redux
-
J. M. GREENBERG, Congestion redux, SIAM J. Appl. Math., 64 (2004), pp. 1175-1185.
-
(2004)
SIAM J. Appl. Math
, vol.64
, pp. 1175-1185
-
-
GREENBERG, J.M.1
-
7
-
-
0036306864
-
Extensions and amplifications of a traffic flow model of Aw and Rascle
-
J. M. GREENBERG, Extensions and amplifications of a traffic flow 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
-
8
-
-
0038166020
-
Congestion on muttilane highways
-
J. M. GREENBERG, A. KLAR, AND M. RASCLE, Congestion on muttilane highways, SIAM J. Appl. Math., 63 (2003), pp. 818-833.
-
(2003)
SIAM J. Appl. Math
, vol.63
, pp. 818-833
-
-
GREENBERG, J.M.1
KLAR, A.2
RASCLE, M.3
-
10
-
-
42549169242
-
Multi-class traffic models on road networks
-
M. HERTY, C. KIRCHENER, AND S. MOUTARI, Multi-class traffic models on road networks, Commun. Math. Sci., 4 (2006), pp. 591-608.
-
(2006)
Commun. Math. Sci
, vol.4
, pp. 591-608
-
-
HERTY, M.1
KIRCHENER, C.2
MOUTARI, S.3
-
11
-
-
0036605010
-
A new continuum model for traffic flow and numerical tests
-
R. JIANG, Q. S. WU, AND Z. J. ZHU, A new continuum model for traffic flow and numerical tests, Transportation Res. B, 36 (2002), pp. 405-419.
-
(2002)
Transportation Res. B
, vol.36
, pp. 405-419
-
-
JIANG, R.1
WU, Q.S.2
ZHU, Z.J.3
-
12
-
-
0002562202
-
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 (3), 50 (1994), pp. 54-83.
-
(1994)
Phys. Rev. E
, vol.50
, Issue.3
, pp. 54-83
-
-
KERNER, B.S.1
KONHÄUSER, P.2
-
13
-
-
0001899093
-
Macroscopic freeway model for dense traffic-stop-start waves and incident detection
-
J. Volmuller and R. Hamerslag, eds, VNU Science Press, Utrecht
-
R. D. KÜHNE, Macroscopic freeway model for dense traffic-stop-start waves and incident detection, in Proceedings of the 9th International Symposium on Transportation and Traffic Theory, J. Volmuller and R. Hamerslag, eds., VNU Science Press, Utrecht, 1984, pp. 21-42.
-
(1984)
Proceedings of the 9th International Symposium on Transportation and Traffic Theory
, pp. 21-42
-
-
KÜHNE, R.D.1
-
14
-
-
0000090588
-
On kinematic waves: II A theory of traffic flow on long crowded roads
-
M. J. LIGHTHILL AND G. B. WHITHAM, On kinematic waves: II A theory of traffic flow on long crowded roads, Proc. Roy. Soc. London Ser. A, 229 (1955), pp. 317-345.
-
(1955)
Proc. Roy. Soc. London Ser. A
, vol.229
, pp. 317-345
-
-
LIGHTHILL, M.J.1
WHITHAM, G.B.2
-
15
-
-
42549083152
-
-
H. J. PAYNE, Models of freeway traffic and control, in Mathematical Models of Public Systems, 1, A. G. Bekey, ed., Simulation Council Proc. Ser. 1, La Jolla, CA, 1971, pp. 51-61.
-
H. J. PAYNE, Models of freeway traffic and control, in Mathematical Models of Public Systems, Vol. 1, A. G. Bekey, ed., Simulation Council Proc. Ser. 1, La Jolla, CA, 1971, pp. 51-61.
-
-
-
-
16
-
-
0036171941
-
An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model
-
M. RASCLE, An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model, Math. Comput. Modelling, 35 (2002), pp. 581-590.
-
(2002)
Math. Comput. Modelling
, vol.35
, pp. 581-590
-
-
RASCLE, M.1
-
17
-
-
0002842180
-
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
-
18
-
-
42549111495
-
-
C.-W. SHU, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu, and E. Tadmor, Lecture Notes in Math. 1697, A. Quarteroni, ed., Springer, Berlin, 1998, pp. 325-432.
-
C.-W. SHU, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu, and E. Tadmor, Lecture Notes in Math. 1697, A. Quarteroni, ed., Springer, Berlin, 1998, pp. 325-432.
-
-
-
-
19
-
-
33744952332
-
On the fundamental diagram of traffic flow
-
F. SIEBEL AND W. MAUSER, On the fundamental diagram of traffic flow, SIAM J. Appl. Math., 66 (2006), pp. 1150-1162.
-
(2006)
SIAM J. Appl. Math
, vol.66
, pp. 1150-1162
-
-
SIEBEL, F.1
MAUSER, W.2
-
21
-
-
42549128102
-
Balanced vehicular traffic at a bottleneck
-
submitted
-
F. SIEBEL AND W. MAUSER, Balanced vehicular traffic at a bottleneck, Phys. A, submitted.
-
Phys. A
-
-
SIEBEL, F.1
MAUSER, W.2
-
24
-
-
42549098827
-
-
M. Fukui, Y. Sugiyama, M. Schreckenberg, and D. E. Wolf, eds, Springer, Berlin
-
R. E. WILSON AND P. BERG, Existence and classification of traveling wave solutions to second order highway traffic models, in Traffic and Granular Flow '01, M. Fukui, Y. Sugiyama, M. Schreckenberg, and D. E. Wolf, eds., Springer, Berlin, 2003, pp. 85-90.
-
(2003)
Existence and classification of traveling wave solutions to second order highway traffic models, in Traffic and Granular Flow '01
, pp. 85-90
-
-
WILSON, R.E.1
BERG, P.2
-
25
-
-
0036832844
-
A multi-class traffic flow model-an extension of LWR model with heterogeneous drivers
-
G. C. K. WONG AND S. C. WONG, A multi-class traffic flow model-an extension of LWR model with heterogeneous drivers, Transportation Res. A, 36 (2002), pp. 827-841.
-
(2002)
Transportation Res. A
, vol.36
, pp. 827-841
-
-
WONG, G.C.K.1
WONG, S.C.2
-
27
-
-
0036497648
-
A non-equilibrium traffic model devoid of gas-like behavior
-
H. M. ZHANG, A non-equilibrium traffic model devoid of gas-like behavior, Transportation Res. B, 36 (2002), pp. 275-290.
-
(2002)
Transportation Res. B
, vol.36
, pp. 275-290
-
-
ZHANG, H.M.1
-
29
-
-
26944467874
-
-
Phys. Rev. E (3, 71 , article 056704
-
P. ZHANG, R. X. LIU, AND S. C. WONG, High-resolution numerical approximation of traffic flow problems with variable lanes and free-flow velocities, Phys. Rev. E (3), 71 (2005), article 056704.
-
(2005)
High-resolution numerical approximation of traffic flow problems with variable lanes and free-flow velocities
-
-
ZHANG, P.1
LIU, R.X.2
WONG, S.C.3
-
30
-
-
33749354424
-
Hyperbolicity and kinematic waves of a class of multi-population partial differential equations
-
P. ZHANG, R. X. LIU, S. C. WONG, AND S. Q. DAI, Hyperbolicity and kinematic waves of a class of multi-population partial differential equations, European J. Appl. Math., 17 (2006), pp. 171-200.
-
(2006)
European J. Appl. Math
, vol.17
, pp. 171-200
-
-
ZHANG, P.1
LIU, R.X.2
WONG, S.C.3
DAI, S.Q.4
-
31
-
-
0242267633
-
A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
-
M. P. ZHANG, C. W. SHU, G. C. K. WONG, AND S. C. WONG, A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model, J. Comput. Phys., 191 (2003), pp. 639-659.
-
(2003)
J. Comput. Phys
, vol.191
, pp. 639-659
-
-
ZHANG, M.P.1
SHU, C.W.2
WONG, G.C.K.3
WONG, S.C.4
-
32
-
-
29144469118
-
A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway
-
P. ZHANG, S. C. WONG, AND C. W. SHU, A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway, J. Comput. Phys., 212 (2006), pp. 739-756.
-
(2006)
J. Comput. Phys
, vol.212
, pp. 739-756
-
-
ZHANG, P.1
WONG, S.C.2
SHU, C.W.3
-
33
-
-
31744444513
-
Characteristic parameters of a wide cluster in a higher-order traffic flow model
-
P. ZHANG, S. C. WONG, AND S. Q. DAI, Characteristic parameters of a wide cluster in a higher-order traffic flow model, Chinese Phys. Lett., 23 (2006), pp. 516-519.
-
(2006)
Chinese Phys. Lett
, vol.23
, pp. 516-519
-
-
ZHANG, P.1
WONG, S.C.2
DAI, S.Q.3
|