A whole-link travel-time model with desirable properties

A whole-link travel-time model with desirable properties

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Article ID: iaor20052695
Country: United States
Volume: 37
Issue: 1
Start Page Number: 83
End Page Number: 96
Publication Date: Feb 2003
Journal: Transportation Science
Authors: , ,
Keywords: networks: flow
Abstract:

In network models for dynamic traffic assignment the link travel times are often described by ‘whole-link’ models. In particular, they have been expressed as a function of the number of vehicles currently on the link. Such whole-link models are useful approximations and make the network model tractable when flows and travel times are varying over time. Here we propose an alternative whole-link model to approximate travel times. For a vehicle entering a link at time t, we let the link travel time be a function of a weighted average of the inflow rate at the time it enters and the outflow rate at the time it exits. We show that this model ensures first-in-first-out and has other desirable properties. We indicate computational methods for solving the model, apply it to various patterns of inflows, and compare the numerical results with two alternative whole-link models.

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