Dynamics of the congestion triggered by boundary

Ding-wei Huang

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 2, 587-598

Abstract: We study the congestion on a homogeneous roadway with open boundaries. Three different phases are identified. Both numerical and analytical results are presented. For stationary boundaries, three different flow can be associated with a single density on the fundamental diagram. When the congestion is characterized by numerous jams, the system is homogeneous and the traffic flow is low. When the system is dominate by a single jam, the time trajectory traces out finite cycles and a higher traffic flow can be supported. If the cycles fill up a two-dimensional area, the traffic flow remains constant as the density changes; if the cycles collapse into a one-dimensional loop, a much higher traffic flow can be achieved. We also discuss the effects of dynamical boundaries.

Keywords: Traffic flow; Congestion; Boundary-induced transition (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:2:p:587-598

DOI: 10.1016/j.physa.2007.09.032

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