Modelling and optimising fuel consumption in traffic assignment problems

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dc.contributor.author Raith, Andrea en
dc.contributor.author Thielen, C en
dc.contributor.author Tidswell, James en
dc.contributor.editor Burke, M en
dc.coverage.spatial Melbourne, Australia en
dc.date.accessioned 2017-05-10T05:03:59Z en
dc.date.issued 2016-12-22 en
dc.identifier.citation Australasian Transport Research Forum 2016, Melbourne, Australia, 16 Nov 2016 - 18 Nov 2016. Editors: Burke M. Australasian Transport Research Forum 2016 Proceedings. Department of Infrastructure and Regional Development., online. 13 pages. 22 Dec 2016 en
dc.identifier.uri http://hdl.handle.net/2292/32842 en
dc.description.abstract The Traffic Assignment (TA) Problem models route choices of users of a road transport network assuming a known relationship between traffic flow and travel time, and fixed demand between origin and destination points in the network. By modelling network user route choices, TA is able to derive network wide flows, for instance to understand the effects of modifications of the transport system in terms of congestion, travel times, or generalised cost. A basic assumption of TA is that network users selfishly minimise their own travel time and that a TA solution follows the so-called user equilibrium. It is well known that user equilibrium traffic flow does not necessarily follow a system-optimal travel pattern (in terms of travel time or generalised cost). Such a system-optimal travel pattern can be computed and congestion pricing theory shows that it can be enforced in a user equilibrium TA by charging network users an appropriate congestion toll (cf. Patrikkson 1994). In this paper, we develop a model of fuel consumption within the TA framework. Our aim is to derive a system-optimal distribution of traffic with respect to fuel consumption and to devise congestion pricing and speed limits to encourage traffic flow to follow this systemoptimal distribution when network users minimize a weighted sum of their travel time, fuel consumption, and tolls. We initially propose to apply a simplified model of fuel consumption (Song et al., 2013). Unfortunately, fuel consumption is not an increasing function of speed or arc flow – a basic assumption required to ensure that TA models converge to user equilibrium or system optimum solutions. Hence, considering fuel consumption in TA models provides new methodical challenges. Despite this, we analyse the proposed fuelconsumption TA model from a theoretical point of view and are able to show that, under appropriate assumptions, system-optimal traffic patterns can be derived and enforced by congestion pricing and appropriate speed limits. Moreover, we present results for standard TA instances (Transportation Networks for Research, 2016). en
dc.description.uri http://atrf.info/papers/2016/files/ATRF2016_Full_papers_resubmission_218.pdf en
dc.publisher Department of Infrastructure and Regional Development. en
dc.relation.ispartof Australasian Transport Research Forum 2016 en
dc.relation.ispartofseries Australasian Transport Research Forum 2016 Proceedings en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title Modelling and optimising fuel consumption in traffic assignment problems en
dc.type Conference Item en
pubs.author-url http://atrf.info/papers/2016/index.aspx en
pubs.finish-date 2016-11-18 en
pubs.place-of-publication online en
pubs.start-date 2016-11-16 en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Proceedings en
pubs.elements-id 609175 en
pubs.org-id Engineering en
pubs.org-id Engineering Science en
pubs.record-created-at-source-date 2017-01-23 en
pubs.online-publication-date 2016-01-22 en


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