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Article: Discretised link travel time models based on cumulative flows: Formulations and properties

TitleDiscretised link travel time models based on cumulative flows: Formulations and properties
Authors
KeywordsCausality
Cumulative flow
FIFO
Link travel time
Piecewise linearization
Issue Date2011
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb
Citation
Transportation Research Part B: Methodological, 2011, v. 45 n. 1, p. 232-254 How to Cite?
AbstractIn the research area of dynamic traffic assignment, link travel times can be derived from link cumulative inflow and outflow curves which are generated by dynamic network loading. In this paper, the profiles of cumulative flows are piecewise linearized. Both the step function (SF) and linear interpolation (LI) are used to approximate cumulative flows over time. New formulations of the SF-type and LI-type link travel time models are developed. We prove that these two types of link travel time models ensure first-in-first-out (FIFO) and continuity of travel times with respect to flows, and have other desirable properties. Since the LI-type link travel time model does not satisfy the causality property, a modified LI-type (MLI-type) link travel time model is proposed in this paper. We prove that the MLI-type link travel time model ensures causality, strong FIFO and travel time continuity, and that the MLI-type link travel time function is strictly monotone under the condition that the travel time of each vehicle on a link is greater than the free flow travel time on that link. Numerical examples are set up to illustrate the properties and accuracy of the three models. © 2010 Elsevier Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/135055
ISSN
2015 Impact Factor: 3.769
2015 SCImago Journal Rankings: 3.905
ISI Accession Number ID
Funding AgencyGrant Number
National Basic Research Program of China2006CB705500
National Natural Science Foundation of China70631001
70821061
Funding Information:

The authors would like to thank Prof. Hai-Jun Huang, Prof. Malachy Carey, and the anonymous referees for their useful comments on this paper. This work is jointly supported by the National Basic Research Program of China (2006CB705500) and the National Natural Science Foundation of China (70631001, 70821061).

References

 

DC FieldValueLanguage
dc.contributor.authorLong, Jen_HK
dc.contributor.authorGao, Zen_HK
dc.contributor.authorSzeto, WYen_HK
dc.date.accessioned2011-07-27T01:27:22Z-
dc.date.available2011-07-27T01:27:22Z-
dc.date.issued2011en_HK
dc.identifier.citationTransportation Research Part B: Methodological, 2011, v. 45 n. 1, p. 232-254en_HK
dc.identifier.issn0191-2615en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135055-
dc.description.abstractIn the research area of dynamic traffic assignment, link travel times can be derived from link cumulative inflow and outflow curves which are generated by dynamic network loading. In this paper, the profiles of cumulative flows are piecewise linearized. Both the step function (SF) and linear interpolation (LI) are used to approximate cumulative flows over time. New formulations of the SF-type and LI-type link travel time models are developed. We prove that these two types of link travel time models ensure first-in-first-out (FIFO) and continuity of travel times with respect to flows, and have other desirable properties. Since the LI-type link travel time model does not satisfy the causality property, a modified LI-type (MLI-type) link travel time model is proposed in this paper. We prove that the MLI-type link travel time model ensures causality, strong FIFO and travel time continuity, and that the MLI-type link travel time function is strictly monotone under the condition that the travel time of each vehicle on a link is greater than the free flow travel time on that link. Numerical examples are set up to illustrate the properties and accuracy of the three models. © 2010 Elsevier Ltd.en_HK
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trben_HK
dc.relation.ispartofTransportation Research Part B: Methodologicalen_HK
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Transportation Research Part B: Methodological. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Transportation Research Part B: Methodological, 2011, v. 45 n. 1, p. 232-254. DOI: 10.1016/j.trb.2010.05.002-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectCausalityen_HK
dc.subjectCumulative flowen_HK
dc.subjectFIFOen_HK
dc.subjectLink travel timeen_HK
dc.subjectPiecewise linearizationen_HK
dc.titleDiscretised link travel time models based on cumulative flows: Formulations and propertiesen_HK
dc.typeArticleen_HK
dc.identifier.emailSzeto, WY:ceszeto@hku.hken_HK
dc.identifier.authoritySzeto, WY=rp01377en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.trb.2010.05.002en_HK
dc.identifier.scopuseid_2-s2.0-78149496094en_HK
dc.identifier.hkuros187893en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78149496094&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume45en_HK
dc.identifier.issue1en_HK
dc.identifier.spage232en_HK
dc.identifier.epage254en_HK
dc.identifier.eissn1879-2367-
dc.identifier.isiWOS:000285035600015-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLong, J=14033105100en_HK
dc.identifier.scopusauthoridGao, Z=7402832776en_HK
dc.identifier.scopusauthoridSzeto, WY=7003652508en_HK
dc.identifier.citeulike7383064-

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