Transportation Science
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TRANSPORTATION SCIENCE
Vol. 37, No. 1, February 2003, pp. 83-96
DOI: 10.1287/trsc.37.1.83.12819
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A Whole-Link Travel-Time Model with Desirable Properties

Malachy Carey, Y. E. Ge, Mark McCartney

Faculty of Business and Management, University of Ulster, Northern Ireland, BT37 0QB
Faculty of Business and Management, University of Ulster, Northern Ireland, BT37 0QB
Faculty of Informatics, University of Ulster, Northern Ireland, BT37 0QB

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.

History: Received: July 2000; revised: June 2001; accepted: November 2001.




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Operations Research, November 1, 2006; 54(6): 1151 - 1171.
[Abstract] [PDF]




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