The dynamic user equilibrium on a transport network: mathematical properties and economic applications

Abstract : This thesis is focused on dynamic user equilibrium models and their applications to traffic assignment. It aims at providing a mathematically rigorous and general formulation for the dynamic user equilibrium. Particular attention is paid to the representation of transport demand and more specifically to trip scheduling and users with heterogeneous preferences. This is achieved by expressing the dynamic user equilibrium as a Nash game with a continuum of players. This allows for a precise, concise and microeconomically consistent description. This thesis also deals with computational techniques. We solve analytically equilibrium on small networks to get a general intuition of the complex linkage between the demand and supply of transport in dynamic frameworks. The intuition acquired from the resolution is used to elaborate efficient numerical solving methods that can be applied to large size, real life, transport networks. Along the thesis several economic applications are proposed. All of them are dealing with the assessment of congestion pricing policies where are likely to reschedule their trips. In particular, a pricing scheme designed to ease congestion during holiday departure periods is tested. In this scheme a toll varying within the day and from day to day is set on the french motorway network. This form to toll is especially appealing as it enables the operator to influence the departure day as well as the departure time. Indeed it is shown that even moderate variations of the toll with time might have strong impacts on an highly congested interurban network.
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https://pastel.archives-ouvertes.fr/pastel-00939008
Contributor : Nicolas Wagner <>
Submitted on : Wednesday, January 29, 2014 - 8:32:35 PM
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  • HAL Id : pastel-00939008, version 1

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Nicolas Wagner. The dynamic user equilibrium on a transport network: mathematical properties and economic applications. Economics and Finance. Université Paris-Est, 2012. English. ⟨pastel-00939008⟩

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