A Whole-Link Travel-Time Model with Desirable Properties

Malachy Carey, Y. E. Ge and Mark McCartney
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Malachy Carey: Faculty of Business and Management, University of Ulster, Northern Ireland, BT37 0QB
Y. E. Ge: Faculty of Business and Management, University of Ulster, Northern Ireland, BT37 0QB
Mark McCartney: Faculty of Informatics, University of Ulster, Northern Ireland, BT37 0QB

Transportation Science, 2003, vol. 37, issue 1, 83-96

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.

Date: 2003
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