Abstract
We study the phase transition on a highway induced by the fluctuations of on-ramp flow. The highway traffic is provided by a hydrodynamical model. We analyze the characteristics of perturbations to induce congestion near an on-ramp. The phase boundary is obtained. A scaling relation is revealed. We also analyze the time evolution of the local density profile. Conventional control mechanisms to regulate the on-ramp flow are examined. A new control scheme is proposed to suppress the congestion.
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The following parameters are adopted[15,16]: r = 0.5 min, co = 54 km/hr, p = 600 veh km/hr, V(p) = Vo (1 — p/po)/[1 + 100 (p/po)4], 0(x) = exp [—x2/(2Q2)] /(2Tr v),where Vo = 120 km/hr and po = 140 veh/km are the maximum values for velocity and density, respectively, and v = 60 m denotes the length of the on-ramp.
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© 2003 Springer-Verlag Berlin Heidelberg
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Huang, D. (2003). On-Ramp Control. In: Fukui, M., Sugiyama, Y., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10583-2_35
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DOI: https://doi.org/10.1007/978-3-662-10583-2_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07304-5
Online ISBN: 978-3-662-10583-2
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