A theory of travel time estimation under equilibrated traffic network

Takamasa Iryo, Agachai Sumalee

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

Abstract

One approach to reduce the cost for congestion monitoring in a city is to minimize the number of surveyed links. This study proposes a theoretical method for estimating congestion levels in an urban road network with travel time data from a subset of links in the network under the assumption of Wardrop's equilibrium. The paper gives a theoretical condition for valid estimated travel times for a given set of observed link travel times which may yield non-unique solutions. The paper then proposes a way to formulate the travel time estimation problem as a mixed 1-0 linear optimization problem which can be solved to its global optimum using a branch and bound algorithm. Two variants of this problem are explained with objectives of minimize and maximize total travel time respectively. The method is tested with a small example.

Original languageEnglish
Title of host publicationProceedings of the 11th International Conference of Hong Kong Society for Transportation Studies
Subtitle of host publicationSustainable Transportation
Pages441-450
Number of pages10
Publication statusPublished - 2006 Dec 1
Externally publishedYes
Event11th International Conference of Hong Kong Society for Transportation Studies: Sustainable Transportation - Kowloon, Hong Kong
Duration: 2006 Dec 92006 Dec 11

Publication series

NameProceedings of the 11th International Conference of Hong Kong Society for Transportation Studies: Sustainable Transportation

Conference

Conference11th International Conference of Hong Kong Society for Transportation Studies: Sustainable Transportation
CountryHong Kong
CityKowloon
Period06/12/906/12/11

ASJC Scopus subject areas

  • Automotive Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Safety, Risk, Reliability and Quality
  • Transportation

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  • Cite this

    Iryo, T., & Sumalee, A. (2006). A theory of travel time estimation under equilibrated traffic network. In Proceedings of the 11th International Conference of Hong Kong Society for Transportation Studies: Sustainable Transportation (pp. 441-450). (Proceedings of the 11th International Conference of Hong Kong Society for Transportation Studies: Sustainable Transportation).