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A demand model with departure time choice for within-day dynamic traffic assignment
Affiliation:1. Department of Spatial Economics, VU University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands;2. Tinbergen Institute, Gustav Mahlerplein 117, 1082 MS Amsterdam, The Netherlands;3. Institute for the Environment and Regional Development, Vienna University of Economics and Business, Welthandelsplatz 1, 1020 Vienna, Austria;1. Sobolev Institute of Mathematics, Novosibirsk 630090, Russia;2. Ammosov North-Eastern Federal University, Yakutsk, 677013, Russia;1. Department of Mathematics and Statistics, University of Konstanz, Germany;2. RiskLab, Department of Mathematics, ETH Zurich, Switzerland
Abstract:A within-day dynamic demand model is formulated, embodying, in addition to the classic generation, distribution and modal split stages, an actual demand model taking into account departure time choice. The work focuses on this last stage, represented through an extension of the discrete choice framework to a continuous choice set. The dynamic multimodal supply and equilibrium model based on implicit path enumeration, which have been developed in previous work are outlined here, to define within-day dynamic elastic demand stochastic multimodal equilibrium as a fixed point problem on users flows and transit line frequencies. A MSA algorithm capable, in the case of Logit route choice models, of supplying equilibrium flows and frequencies on real dimension networks, is presented, as well as the specific procedures implementing the departure time choice and actual demand models. Finally, the results obtained on a test network are presented and conclusions are drawn.
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