A continuum theory of traffic dynamics for freeways with special lanes

Transportation Research Part B: Methodological

Volumn 31, Issue 2, 1997, Pages 83-102

  Daganzo, Carlos F ^a  

^a Berkeley   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; GRAPH THEORY; GROUND VEHICLES; HIGHWAY MARKINGS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PAVEMENTS; PIECEWISE LINEAR TECHNIQUES;

CONTINUUM THEORY; KINEMATIC WAVE THEORY; SPECIAL LANES;

HIGHWAY TRAFFIC CONTROL;

EID: 0031124355     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(96)00017-3     Document Type: Article

References (16)

1. Bick, J. H. and Newell, G. F. (1960) A continuum model for two-lane directional traffic flow. O. App. Math 18, 191-204.
2. Daganzo, C. F. (1993) A finite difference approximation for the kinematic wave model. Inst. of Transp. Studies Research Report UCB-ITS-RR-93-11, Univ. of California, Berkeley. (Published in abbreviated form in Transportation Research B 29, 261-276, 1995.)
3. Garabedian, P. R. (1986) Partial Differential Equations. Chelsea Publishing Co., New York.
4. Gazis, D. C. and Herman, R. (1992) The moving and 'phantom' bottlenecks. Transportation Science 26, 223-229.
5. Gazis, D. C., Herman, R. and Weiss, G. H. (1962) Density oscillations between lanes on a multilane highway. Operations Research 10, 658-667.
6. Godunov, S. K. (1961) Bounds on the discrepancy of approximate solutions constructed for the equations of gas dynamics. Journal Computers Mathematics and Mathematical Physics 1, 623-637.
7. Lax, P. D. (1973) Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shockwaves. Regional Conference Series in Applied Mathematics. SIAM, Philadelphia, PA.
8. Lebacque, J. P. (1993) Les modèles macroscopiques de Trafic. Annales des Ponts (3rd trim) 67, 28-45.
9. LeVeque, R. J. (1992) Numerical Methods for Conservation Laws. Birkhäuser Verlag, Boston, MA.
10. Lighthill, M. J. and Whitham, J. B. (1955) On kinematic waves. I Flow movement in long rivers. II A theory of traffic flow on long crowded roads. Proceedings Royal Society A, 229, 281-345.
11. Michalopoulos, P. G. and Beskos, D. E. (1984) Improved continuum models of traffic flow. Proceedings 9th International Symposium on Transportation and Traffic Theory (Vollmuller, J. and Hamerslag, R. Eds), pp. 89-111. VNU Science Press BV, Utrecht, The Netherlands.
12. Munjal, P. K. and Pipes, L. A. (1971) Propagation of on-ramp density perturbations on uni-directional two and three lane freeways. Transportation Research 5, 257-266.
13. Newell, G. F. (1993a) A moving bottleneck. Institute of Transportation Studies Research Report UCB-ITS-RR-93-3, University of California, Berkeley.
14. Newell, G. F. (1993b) A simplified theory of kinematic waves in highway traffic, Part I: General theory; Part II: Queuing at freeway bottlenecks; Part III: Multi-destination flows. Transportation Research B 27, 281-314.
15. Richards, P. I. (1956) Shockwaves on the highway. Operations Research. 4, 42-51.
16. Whitham, G. B. (1974) Linear and Nonlinear Waves. Wiley, New York.