Optimisation through control in static and dynamic traffic networks

Richard Mounce*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

There is clearly a need for optimising traffic systems in order to reduce congestion and improve network reliability. A system optimal assignment is a traffic flow pattern that minimises total network costs. In reality, travellers are not under any centralised control, but instead choose routes in order to minimise their own individual travel costs, which in general does not lead to a system optimal assignment. Travellers may be induced to choose routes that are closer to yielding a system optimal assignment through the use of tolls and signal control. The paper considers both approaches within a static traffic model (where flows and costs stay constant over time) and within a dynamic traffic model (where flows and costs vary over time).

Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2008
EditorsA D Fitt, J Norbury, H Ockendon, R E Wilson
Place of PublicationBerlin
PublisherSpringer Berlin / Heidelberg
Pages953-958
Number of pages6
Volume15
ISBN (Electronic)978-3-642-12110-4
ISBN (Print)978-3-642-12109-8
DOIs
Publication statusPublished - May 2010
Event15th European Conference on Mathematics for Industry - London, United Kingdom
Duration: 30 Jun 20084 Jul 2008

Publication series

NameMathematics in Industry
PublisherSpringer Berlin Heidelberg
Volume15

Conference

Conference15th European Conference on Mathematics for Industry
CountryUnited Kingdom
Period30/06/084/07/08

Keywords

  • assignment
  • model

Cite this

Mounce, R. (2010). Optimisation through control in static and dynamic traffic networks. In A. D. Fitt, J. Norbury, H. Ockendon, & R. E. Wilson (Eds.), Progress in Industrial Mathematics at ECMI 2008 (Vol. 15, pp. 953-958). (Mathematics in Industry; Vol. 15). Berlin: Springer Berlin / Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_152

Optimisation through control in static and dynamic traffic networks. / Mounce, Richard.

Progress in Industrial Mathematics at ECMI 2008 . ed. / A D Fitt; J Norbury; H Ockendon; R E Wilson. Vol. 15 Berlin : Springer Berlin / Heidelberg, 2010. p. 953-958 (Mathematics in Industry; Vol. 15).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mounce, R 2010, Optimisation through control in static and dynamic traffic networks. in AD Fitt, J Norbury, H Ockendon & RE Wilson (eds), Progress in Industrial Mathematics at ECMI 2008 . vol. 15, Mathematics in Industry, vol. 15, Springer Berlin / Heidelberg, Berlin, pp. 953-958, 15th European Conference on Mathematics for Industry, United Kingdom, 30/06/08. https://doi.org/10.1007/978-3-642-12110-4_152
Mounce R. Optimisation through control in static and dynamic traffic networks. In Fitt AD, Norbury J, Ockendon H, Wilson RE, editors, Progress in Industrial Mathematics at ECMI 2008 . Vol. 15. Berlin: Springer Berlin / Heidelberg. 2010. p. 953-958. (Mathematics in Industry). https://doi.org/10.1007/978-3-642-12110-4_152
Mounce, Richard. / Optimisation through control in static and dynamic traffic networks. Progress in Industrial Mathematics at ECMI 2008 . editor / A D Fitt ; J Norbury ; H Ockendon ; R E Wilson. Vol. 15 Berlin : Springer Berlin / Heidelberg, 2010. pp. 953-958 (Mathematics in Industry).
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