Analysis of Dynamic Traffic Equilibrium with Departure Time Choice

Authors:
B. G. Heydecker;J. D. Addison
Affiliations:
Centre for Transport Studies, University College London, Gower Street, London WC1E 6BT, United Kingdom;Centre for Transport Studies, University College London, Gower Street, London WC1E 6BT, United Kingdom
Venue:
Transportation Science
Year:
2005

Citing 3
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Abstract

We present and analyse a model of the combined choice of departure time and route in a congested road network. Using the property of equilibrium solutions that for each origin-destination pair the total cost associated with travel is identical for all travellers, we establish a general result that relates assignments to various components of cost. The analysis is developed to include time-varying tolls and to establish a formula that will induce any specified inflow profile as an equilibrium. We introduce an iteration operator to calculate equilibrium inflow profiles, and present the results of example calculations for a range of test problems.