Abstract
We investigate the effect of two-level crossings on the traffic jam in the cellular-automaton (CA) model of traffic flow. The CA model is an extended version of the traffic-flow model proposed by Biham, Middleton, and Levine [Phys. Rev. A 46, R6124 (1992)]. Its model is described in terms of the CA on the disordered square lattice with two components: one is the site of three states representing the one-level crossing and the other is the site of four states representing the two-level crossing. We find that the dynamical jamming transition does not occur when the fraction c of the two-level crossings becomes larger than the percolation threshold ${\mathit{p}}_{\mathit{p},}$c (c>${\mathit{p}}_{\mathit{p},}$c). The dynamical jamming transition occurs at higher density p of cars with increasing fraction c of the two-level crossings below the percolation threshold (c${\mathit{p}}_{\mathit{p},}$c). We also present a simple mean-field theory for the jamming transition in traffic flow with two-level crossings.
Keywords
JammingCellular automatonSquare latticePhysicsPercolation (cognitive psychology)Percolation thresholdLattice (music)Statistical physicsCondensed matter physicsQuantum mechanicsMathematicsAlgorithm
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Publication Info
- Year
- 1993
- Type
- article
- Volume
- 48
- Issue
- 5
- Pages
- 3290-3294
- Citations
- 210
- Access
- Closed
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Cite This
Takashi Nagatani
(1993).
Jamming transition in the traffic-flow model with two-level crossings.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
, 48
(5)
, 3290-3294.
https://doi.org/10.1103/physreve.48.3290
Identifiers
- DOI
- 10.1103/physreve.48.3290