Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15633
Title: A congestion-pricing problem with a polycentric region and multi-class users : a continuum modelling approach
Authors: Ho, HW
Wong, SC
Sumalee, A
Keywords: Continuum transportation system
Finite element method
Logit-type distribution function
Multiple user classes
National road pricing
Traffic equilibrium
Issue Date: 2013
Publisher: Taylor & Francis
Source: Transportmetrica. A, Transport science, 2013, v. 9, no. 6, p. 514-545 How to cite?
Journal: Transportmetrica. A, Transport science 
Abstract: Consider a region of arbitrary shape with multiple cities competing for multi-class users that are distributed continuously over the region. Within this region, the road network is represented as a continuum and users patronise in a two-dimensional continuum transportation system to their chosen city. A logit-type distribution function is specified to model the probabilistic destination choices made by the different classes of users. In this article, two different congestion-pricing models for this multi-class and multi-city continuum transportation system are studied. The first model focused on utility maximisation, which determines the optimal toll rates that maximise the total utility of the system, while the second model is a cordon-based congestion-pricing model that offers a sub-optimal but more practical tolling strategy. Both models are solved by finite element method and a promising Newtonian-based solution algorithm. A numerical example is given to show the effectiveness of the mathematical program and solution algorithm.
URI: http://hdl.handle.net/10397/15633
ISSN: 2324-9935
EISSN: 2324-9943
DOI: 10.1080/18128602.2011.621652
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