Existence of simultaneous route and departure choice dynamic user equilibrium

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Title: Existence of simultaneous route and departure choice dynamic user equilibrium
Author(s): Han, K
Friesz, TL
Yao, T
Item Type: Journal Article
Abstract: This paper is concerned with the existence of the simultaneous route-and-departure choice dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite- dimensional variational inequality in Friesz et al. (1993). In deriving our existence result, we employ the generalized Vickrey model (GVM) introduced in Han et al. (2013a,b) to for- mulate the underlying network loading problem. As we explain, the GVM corresponds to a path delay operator that is provably strongly continuous on the Hilbert space of interest. Finally, we provide the desired SRDC-DUE existence result for general constraints relating path flows to a table of fixed trip volumes without invocation of a priori bounds on the path flows.
Publication Date: 1-Jul-2013
Date of Acceptance: 21-Jan-2013
URI: http://hdl.handle.net/10044/1/62310
DOI: https://dx.doi.org/10.1016/j.trb.2013.01.009
ISSN: 0191-2615
Publisher: Elsevier
Start Page: 17
End Page: 30
Journal / Book Title: Transportation Research Part B: Methodological
Volume: 53
Copyright Statement: © 2013 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords: Social Sciences
Science & Technology
Technology
Economics
Engineering, Civil
Operations Research & Management Science
Transportation
Transportation Science & Technology
Business & Economics
Engineering
Simultaneous route-and-departure choice dynamic user equilibrium
Existence
The generalized Vickrey model
Effective delay operator
DIFFERENTIAL-EQUATION FORMULATION
VICKREYS BOTTLENECK MODEL
TRAFFIC FLOW
COMPUTATION
ASSIGNMENT
WAVES
math.OC
math.OC
math.DS
90B10, 90B20, 91A10
1507 Transportation And Freight Services
0102 Applied Mathematics
Logistics & Transportation
Publication Status: Published
Online Publication Date: 2013-04-11
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering



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