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On-ramp control. (English) Zbl 1052.90012

Fukui, Minoru (ed.) et al., Traffic and granular flow ’01. Proceedings of the symposium, Nagoya, Japan, October 15–17, 2001. Berlin: Springer (ISBN 3-540-40255-1/hbk). 351-356 (2003).
Summary: 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.
For the entire collection see [Zbl 1021.00016].

MSC:

90B20 Traffic problems in operations research
35Q35 PDEs in connection with fluid mechanics