File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance

TitleFormulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance
Authors
KeywordsDynamic user equilibrium
Bounded rationality
Variational inequality
Existence
Computation
Convergence
Issue Date2015
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb
Citation
Transportation Research Part B: Methodological, 2015, v. 79, p. 16-49 How to Cite?
AbstractThis paper analyzes dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure times and routes. Intrinsically, the boundedly rational dynamic user equilibrium (BR-DUE) model we present assumes that travelers do not always seek the least costly route-and-departure-time choice. Rather, their perception of travel cost is affected by an indifference band describing travelers’ tolerance of the difference between their experienced travel costs and the minimum travel cost. An extension of the BR-DUE problem is the so-called variable tolerance dynamic user equilibrium (VT-BR-DUE) wherein endogenously determined tolerances may depend not only on paths, but also on the established path departure rates. This paper presents a unified approach for modeling both BR-DUE and VT-BR-DUE, which makes significant contributions to the model formulation, analysis of existence, solution characterization, and numerical computation of such problems. The VT-BR-DUE problem, together with the BR-DUE problem as a special case, is formulated as a variational inequality. We provide a very general existence result for VT-BR-DUE and BR-DUE that relies on assumptions weaker than those required for normal DUE models. Moreover, a characterization of the solution set is provided based on rigorous topological analysis. Finally, three computational algorithms with convergence results are proposed based on the VI and DVI formulations. Numerical studies are conducted to assess the proposed algorithms in terms of solution quality, convergence, and computational efficiency.
Persistent Identifierhttp://hdl.handle.net/10722/215231
ISSN
2017 Impact Factor: 4.081
2015 SCImago Journal Rankings: 3.905
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorHan, K-
dc.contributor.authorSzeto, WY-
dc.contributor.authorFriesz, TL-
dc.date.accessioned2015-08-21T13:18:37Z-
dc.date.available2015-08-21T13:18:37Z-
dc.date.issued2015-
dc.identifier.citationTransportation Research Part B: Methodological, 2015, v. 79, p. 16-49-
dc.identifier.issn0191-2615-
dc.identifier.urihttp://hdl.handle.net/10722/215231-
dc.description.abstractThis paper analyzes dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure times and routes. Intrinsically, the boundedly rational dynamic user equilibrium (BR-DUE) model we present assumes that travelers do not always seek the least costly route-and-departure-time choice. Rather, their perception of travel cost is affected by an indifference band describing travelers’ tolerance of the difference between their experienced travel costs and the minimum travel cost. An extension of the BR-DUE problem is the so-called variable tolerance dynamic user equilibrium (VT-BR-DUE) wherein endogenously determined tolerances may depend not only on paths, but also on the established path departure rates. This paper presents a unified approach for modeling both BR-DUE and VT-BR-DUE, which makes significant contributions to the model formulation, analysis of existence, solution characterization, and numerical computation of such problems. The VT-BR-DUE problem, together with the BR-DUE problem as a special case, is formulated as a variational inequality. We provide a very general existence result for VT-BR-DUE and BR-DUE that relies on assumptions weaker than those required for normal DUE models. Moreover, a characterization of the solution set is provided based on rigorous topological analysis. Finally, three computational algorithms with convergence results are proposed based on the VI and DVI formulations. Numerical studies are conducted to assess the proposed algorithms in terms of solution quality, convergence, and computational efficiency.-
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb-
dc.relation.ispartofTransportation Research Part B: Methodological-
dc.rights© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/-
dc.subjectDynamic user equilibrium-
dc.subjectBounded rationality-
dc.subjectVariational inequality-
dc.subjectExistence-
dc.subjectComputation-
dc.subjectConvergence-
dc.titleFormulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance-
dc.typeArticle-
dc.identifier.emailSzeto, WY: ceszeto@hku.hk-
dc.identifier.authoritySzeto, WY=rp01377-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.trb.2015.05.002-
dc.identifier.scopuseid_2-s2.0-84930938271-
dc.identifier.hkuros250022-
dc.identifier.volume79-
dc.identifier.spage16-
dc.identifier.epage49-
dc.identifier.isiWOS:000361401200002-
dc.publisher.placeUnited Kingdom-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats