Continuum approach to car-following models

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 2, 2000, Pages 1056-1066

  Berg, Peter ^a   Mason, Anthony ^b   Woods, Andrew ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; STABILITY CRITERIA;

CAR-FOLLOWING MODELING; CAR-FOLLOWING MODELS; CONTINUUM MODEL; CONTINUUM MODELING; DISCRETE MODELS; GLOBAL BEHAVIORS; SERIES EXPANSION; TRAVELING WAVE SOLUTION;

TRAFFIC CONTROL;

EID: 0001317652     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.1056     Document Type: Article

References (15)

1. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, Phys. Rev. E 51, 1035 (1995).
2. K. Nakanishi, K. Itoh, Y. Igarashi, and M. Bando, Phys. Rev. E 55, 6519 (1997).
3. M. Bando, K. Hasebe, K. Nakanishi, A. Nakayama, A. Shibata, and Y. Sugiyama, Phys. Rev. E 58, 5429 (1998).
4. H. Hayakawa and K. Nakanishi, Phys. Rev. E 57, 3839 (1998).
5. B.S. Kerner and P. Konhäuser, Phys. Rev. E 50, 54 (1994).
6. A. Bachem, M. Schreckenberg, and D.E. Wolf, Traffic and Granular Flow (World Scientific, Singapore, 1996).
7. K. Nagel, Phys. Rev. E 53, 4655 (1996).
8. A.D. Mason, Ph.D. thesis, University of Cambridge, 1998 (unpublished).
9. J. Bevan and A.W. Woods (unpublished).
10. J. Bevan, master’s thesis, University of Bristol, 1998 (unpublished).
11. M. Herrmann and B.S. Kerner, Physica A 255, 163 (1998).
12. T. Nagatani, Physica A 261, 589 (1998).
13. T. Nagatani, Physica A 264, 581 (1999).
14. M.J. Lighthill and G.B. Whitham, Proc. R. Soc. London, Ser. A 229, 317 (1955).
15. G.B. Whitham, Linear and Nonlinear Waves (John Wiley & Sons, New York, 1974).