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Article: Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition
Title | Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition |
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Authors | |
Keywords | Anisotropic Conservation law Continuum model Dynamic traffic assignment Hamilton-Jacobi equation Predictive user equilibrium |
Issue Date | 2015 |
Publisher | Pergamon. 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? |
Abstract | Hoogendoorn 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 Identifier | http://hdl.handle.net/10722/211731 |
ISSN | 2023 Impact Factor: 5.8 2023 SCImago Journal Rankings: 2.660 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Du, J | - |
dc.contributor.author | Wong, SC | - |
dc.contributor.author | Shu, CW | - |
dc.contributor.author | Zhang, M | - |
dc.date.accessioned | 2015-07-21T02:09:20Z | - |
dc.date.available | 2015-07-21T02:09:20Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Transportation Research Part B: Methodological, 2015, v. 79, p. 189-217 | - |
dc.identifier.issn | 0191-2615 | - |
dc.identifier.uri | http://hdl.handle.net/10722/211731 | - |
dc.description.abstract | Hoogendoorn 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.language | eng | - |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb | - |
dc.relation.ispartof | Transportation Research Part B: Methodological | - |
dc.rights | Copyright © 2015 Elsevier Ltd. | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Anisotropic | - |
dc.subject | Conservation law | - |
dc.subject | Continuum model | - |
dc.subject | Dynamic traffic assignment | - |
dc.subject | Hamilton-Jacobi equation | - |
dc.subject | Predictive user equilibrium | - |
dc.title | Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition | - |
dc.type | Article | - |
dc.identifier.email | Wong, SC: hhecwsc@hku.hk | - |
dc.identifier.authority | Wong, SC=rp00191 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1016/j.trb.2015.06.005 | - |
dc.identifier.scopus | eid_2-s2.0-84933039055 | - |
dc.identifier.hkuros | 244738 | - |
dc.identifier.volume | 79 | - |
dc.identifier.spage | 189 | - |
dc.identifier.epage | 217 | - |
dc.identifier.isi | WOS:000361401200010 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0191-2615 | - |