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arXiv · 1208.4341

Dynamic Congestion and Tolls with Mobile Source Emission

Ke Han·Terry L. Friesz·Hongcheng Liu·Tao Yao
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Abstract

This paper proposes a dynamic congestion pricing model that takes into account mobile source emissions. We consider a tollable vehicular network where the users selfishly minimize their own travel costs, including travel time, early/late arrival penalties and tolls. On top of that, we assume that part of the network can be tolled by a central authority, whose objective is to minimize both total travel costs of road users and total emission on a network-wide level. The model is formulated as a mathematical program with equilibrium constraints (MPEC) problem and then reformulated as a mathematical program with complementarity constraints (MPCC). The MPCC is solved using a quadratic penalty-based gradient projection algorithm. A numerical study on a toy network illustrates the effectiveness of the tolling strategy and reveals a Braess-type paradox in the context of traffic-derived emission.

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Ke Han, Terry L. Friesz, Hongcheng Liu, Tao Yao. 2012-08-21. Dynamic Congestion and Tolls with Mobile Source Emission. https://arxiv.org/abs/1208.4341

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