Published March 5, 2004
| Version v1
Journal article
A stochastic cellular automaton model for traffic flow with multiple metastable states
- 1. Department of Applied Mathematics and Informatics, Ryukoku University, Shiga 520-2194 (Japan)
- 2. Nakanihon Automotive College, Gifu, 505-0077 (Japan)
- 3. Institute for Theoretical Physics, University of Cologne, 50923 Cologne(Germany)
Description
A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this model shows multiple metastable branches near the transition density from free to congested traffic, which form a wide scattering area in the fundamental diagram. The stability of these branches and their velocity distributions are explicitly studied by numerical simulations
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/3101/a4_9_003.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/3101/a4_9_003.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/9/003;
- PII
- S0305-4470(04)71908-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 9
- Journal Page Range
- p. 3101-3110
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35070739
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- MATHEMATICAL MODELS; METASTABLE STATES; SIMULATION; STOCHASTIC PROCESSES; VELOCITY
- Descriptors DEC
- ENERGY LEVELS; EXCITED STATES