Traffic jam and discontinuity induced by slowdown in two-stage optimal-velocity model

Katsunori Tanaka, Ryoichi Nagai and Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 756-768

Abstract: We study the traffic states and jams induced by a slowdown of vehicles in a single-lane highway. The two-stage optimal velocity model is used in which the optimal velocity function has two turning points. The fundamental (flow-density) diagrams are calculated. At low density, the flow (current) increases linearly with density, while it saturates at some values of intermediate density. When the flow saturates, the discontinuous front (stationary shock wave) appears before or within the section of slowdown. The values of saturated flow are determined by the extreme values of theoretical current curves. The relationship between the densities is derived before and after the discontinuity.

Keywords: Vehicular dynamics; Traffic state; Traffic jam; Discontinuity; Phase transition; Many-particle system (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:756-768

DOI: 10.1016/j.physa.2006.02.025

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