Discontinuity at edge of traffic jam induced by slowdown

Ryoichi Nagai, Hirotoshi Hanaura, Katsunori Tanaka and Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2006, vol. 364, issue C, 464-472

Abstract: We study the traffic states and jams induced by a slowdown of vehicles in a single lane highway. We use an extended one of the optimal velocity model to take into account the slowdown in a section of highway. The fundamental (flow-density) diagram is calculated. The flow (current) increases linearly with density, saturates at a critical density, and then decreases with density. When the flow saturates, the discontinuous front (stationary shock wave) appears at the end of traffic jam which begins just before the section of slowdown. The position of discontinuous front moves to the upstream with increasing density. It is found that the relationship between the densities holds before and after the discontinuity, while the flow (current) keeps the saturated value. The region map of distinct jams is shown.

Keywords: Vehicular dynamics; Traffic state; Traffic jam; 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:364:y:2006:i:c:p:464-472

DOI: 10.1016/j.physa.2005.09.055

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