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Article: Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition

TitleReformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition
Authors
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. 189-217 How to Cite?
AbstractHoogendoorn and Bovy (2004) developed an approach for a pedestrian user-optimal dynamic assignment in continuous time and space. Although their model was proposed for pedestrian traffic, it can also be applied to urban cities. The model is very general, and consists of a conservation law (CL) and a Hamilton–Jacobi–Bellman (HJB) equation that contains a minimum value problem. However, only an isotropic application example was given in their paper. We claim that the HJB equation is difficult to compute numerically in an anisotropic case. To overcome this, we reformulate their model for a dense urban city that is arbitrary in shape and has multiple central business districts (CBDs). In our model, the minimum value problem is only used in the CL portion, and the HJB equation reduces to a Hamilton–Jacobi (HJ) equation for easier computation. The dynamic path equilibrium of our model is proven in a different way from theirs, and a numerical algorithm is also provided to solve the model. Finally, we show two numerical examples under the anisotropic case and compare the results with those of the isotropic case.
Persistent Identifierhttp://hdl.handle.net/10722/211731
ISSN
2015 Impact Factor: 3.769
2015 SCImago Journal Rankings: 3.905

 

DC FieldValueLanguage
dc.contributor.authorDu, J-
dc.contributor.authorWong, SC-
dc.contributor.authorShu, CW-
dc.contributor.authorZhang, M-
dc.date.accessioned2015-07-21T02:09:20Z-
dc.date.available2015-07-21T02:09:20Z-
dc.date.issued2015-
dc.identifier.citationTransportation Research Part B: Methodological, 2015, v. 79, p. 189-217-
dc.identifier.issn0191-2615-
dc.identifier.urihttp://hdl.handle.net/10722/211731-
dc.description.abstractHoogendoorn and Bovy (2004) developed an approach for a pedestrian user-optimal dynamic assignment in continuous time and space. Although their model was proposed for pedestrian traffic, it can also be applied to urban cities. The model is very general, and consists of a conservation law (CL) and a Hamilton–Jacobi–Bellman (HJB) equation that contains a minimum value problem. However, only an isotropic application example was given in their paper. We claim that the HJB equation is difficult to compute numerically in an anisotropic case. To overcome this, we reformulate their model for a dense urban city that is arbitrary in shape and has multiple central business districts (CBDs). In our model, the minimum value problem is only used in the CL portion, and the HJB equation reduces to a Hamilton–Jacobi (HJ) equation for easier computation. The dynamic path equilibrium of our model is proven in a different way from theirs, and a numerical algorithm is also provided to solve the model. Finally, we show two numerical examples under the anisotropic case and compare the results with those of the isotropic case.-
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.rightsCopyright © 2015 Elsevier Ltd.-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.titleReformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition-
dc.typeArticle-
dc.identifier.emailWong, SC: hhecwsc@hku.hk-
dc.identifier.authorityWong, SC=rp00191-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.trb.2015.06.005-
dc.identifier.hkuros244738-
dc.identifier.volume79-
dc.identifier.spage189-
dc.identifier.epage217-
dc.publisher.placeUnited Kingdom-

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