Influence of reaction times and anticipation on the stability of vehicular traffic flow

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 6, Issue PART 1, 2006, Pages 205-210

  Kesting, Arne ^a   Treiber, Martin ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Car following model; Human reaction time; Local and string stability; Microscopic traffic simulation; Time delayed system

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DELAY CONTROL SYSTEMS; SYSTEM STABILITY; TIME DELAY; TRAFFIC CONTROL; VEHICLES;

CAR FOLLOWING MODELS; CONSTANT VELOCITIES; MICROSCOPIC TRAFFIC SIMULATION; MULTI-PARTICLE SYSTEMS; STRING STABILITY; TIME-DELAYED SYSTEMS; TRAFFIC SITUATIONS; VEHICULAR TRAFFIC FLOW;

HUMAN REACTION TIME;

EID: 79961141851     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060710-3-it-4901.00034     Document Type: Conference Paper

References (16)

1. Bando, M., K. Hasebe, K. Nakanishi and A. Nakayama (1998). Analysis of optimal velocity model with explicit delay. Phys. Rev. E 58, 5429.
2. Brackstone, M. and M. McDonald (1999). Car-following: a historical review. Transportation Research F 2, 181-196. (Pubitemid 129593950)
3. Brogan, William L. (1991). Modern control theory. Prentice-Hall. Upper Saddle River, USA.
4. Davis, L.C. (2002). Modifications of the optimal velocity traffic model to include delay due to driver reaction time. Physica A 319, 557.
5. Green, Marc (2000). 'How long does it take to stop?' methodological analysis of driver perception-brake times. Transportation Human Factors 2, 195-216.
6. Helbing, D. (2001). Traffic and related self-driven many-particle systems. Reviews of Modern Physics 73, 1067-1141.
7. Holland, E.N. (1998). A generalised stability criterion for motorway traffic. Transportation Research B 32, 141-154.
8. Isidori, Alberto (1995). Nonlinear Control Systems. Springer. New York.
9. Kesting, A., M. Treiber, M. Schönhof, F. Kranke and D. Helbing (2006). Jam-avoiding adaptive cruise control (ACC) and its impact on traffic dynamics. In: Traffic and Granular Flow '05. Springer. Berlin. preprint physics/0601096.
10. Knospe, W., L. Santen, A. Schadschneider and M. Schreckenberg (2002). Single-vehicle data of highway traffic: Microscopic description of traffic phases. Phys. Rev. E 65, 056133.
11. Newell, G.F. (1961). Nonlinear effects in the dynamics of car following. Operations Research 9, 209.
12. Shiffrin, R. and W.S. Schneider (1977). Controlled and automatic human information processing ii: Perceptual learning, automatic attending, and a general theory. Psychological Review 84, 127-190.
13. Tilch, B. and D. Helbing (2000). Evaluation of single vehicle data in dependence of the vehicle-type, lane, and site. In: Traffic and Granular Flow '99 (D. Helbing, H.J. Herrmann, M. Schreckenberg and D.E. Wolf, Eds.). pp. 333-338. Springer. Berlin.
14. Treiber, M., A. Hennecke and D. Helbing (1999). Derivation, properties, and simulation of a gas-kinetic-based, non-local traffic model. Phys. Rev. E 59, 239-253. (Pubitemid 129309225)
15. Treiber, M., A. Hennecke and D. Helbing (2000). Congested traffic states in empirical observations and microscopic simulations. Phys. Rev. E 62, 1805-1824.
16. Treiber, M., A. Kesting and D. Helbing (2006). Delays, inaccuracies and anticipation in microscopic traffic models. Physica A 360, 71-88.