Smith, MJ, Hazelton, ML, Lo, H et al. (2 more authors) (2013) The Long Term Behaviour of Day-to-Day Traffic Assignment Models. Transportmetrica A: Transport Science, 10 (7). 647 - 660. ISSN 2324-9943
Abstract
The dynamical behaviour of deterministic process, day-to-day traffic assignment models is sometimes characterised by convergence to a variety of different fixed equilibrium points dependent upon the initial flow pattern, even though individual trajectories are unique for a given start point. This non-uniqueness is seemingly in sharp contrast to the evolution of stochastic process, day-to-day models; under certain assumptions these converge in law to a unique stationary distribution, irrespective of the start point. In this article, we show how models may be constructed which exhibit characteristics of both deterministic models and stochastic models, and illustrate the ideas by using a simple example network.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an Accepted Manuscript of an article published by Taylor & Francis in Transportmetrica A: Transport Science on Jan 2013, available online: http://wwww.tandfonline.com/10.1080/18128602.2012.751683 |
Keywords: | Control; Deterministic; Dynamics; Stochastic |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 29 May 2015 12:42 |
Last Modified: | 16 Jan 2018 16:49 |
Published Version: | http://dx.doi.org/10.1080/18128602.2012.751683 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.1080/18128602.2012.751683 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:84531 |