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Some features of non-linear travel time models for dynamic traffic assignment

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  • Jin-Su Mun

Abstract

This paper investigates some features of non-linear travel time models for dynamic traffic assignment (DTA) that adopt traffic on the link as the sole determinant for the calculation of travel time and have explicit relationships between travel time and traffic on the link. Analytical proofs and numerical examples are provided to show first-in-first-out (FIFO) violation and the behaviour of decreasing outflow with increasing traffic in non-linear travel time models. It is analytically shown that any non-linear travel time model could violate FIFO in some circumstances, especially when inflow drops sharply, and some convex non-linear travel time models could show behaviour with outflow decreasing as traffic increases. It is also shown that the linear travel time model does not show these behaviours. A non-linear travel time model in general form was used for analytical proofs and several existing non-linear travel time models were adopted for numerical examples. Considering the features addressed in this study, non-linear travel time models seem to have limitations for use in DTA in practical terms and care should be taken when they are used for modelling time-varying transportation networks.

Suggested Citation

  • Jin-Su Mun, 2009. "Some features of non-linear travel time models for dynamic traffic assignment," Transportation Planning and Technology, Taylor & Francis Journals, vol. 32(3), pages 261-288, April.
    • Handle: RePEc:taf:transp:v:32:y:2009:i:3:p:261-288
    DOI: 10.1080/03081060903017119
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    Cited by:

    1. Carey, Malachy & Humphreys, Paul & McHugh, Marie & McIvor, Ronan, 2014. "Extending travel-time based models for dynamic network loading and assignment, to achieve adherence to first-in-first-out and link capacities," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 90-104.
    2. Malachy Carey & Paul Humphreys & Marie McHugh & Ronan McIvor, 2017. "Travel-Time Models With and Without Homogeneity Over Time," Transportation Science, INFORMS, vol. 51(3), pages 882-892, August.

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