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User equilibrium, system optimum, and externalities in time-dependent road networks

Chow, A.H.F.; (2007) User equilibrium, system optimum, and externalities in time-dependent road networks. Presented at: 86th Annual meeting of the Transportation Research Board, Washington D.C., USA. Green open access

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Abstract

This paper develops a comprehensive framework for analysing and calculating user equilibrium, system optimum, and externalities in time-dependent road networks. Under dynamic user equilibrium, traffic is assigned such that for each origin-destination pair in the network, the individual travel costs experienced by each traveller, no matter which combination of travel route and departure time he/she chooses, are equal and minimal. The system optimal flow is determined by solving a state-dependent optimal control problem, which assigns traffic such that the total system cost of the network system is minimized. The externalities are derived by using a novel sensitivity analysis. The analyses developed in this paper can work with general travel cost functions. Numerical examples are provided for illustration and discussion. Finally, some concluding remarks are given.

Type: Conference item (Presentation)
Title: User equilibrium, system optimum, and externalities in time-dependent road networks
Event: 86th Annual meeting of the Transportation Research Board
Location: Washington D.C., USA
Dates: 21-25 January 2007
Open access status: An open access version is available from UCL Discovery
Language: English
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/3375
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