Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach
Name
OR-353-01.pdf
Size
1.95 MB
Format
Adobe PDF
Checksum (MD5)
c04abece1b6504d3f36491e2caf14061
Author(s)
Kachani, Soulaymane
Perakis, Georgia
Date Issued
April 2001
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 353-01
Abstract
In this paper, we take a fluid dynamics approach to determine the travel time in traversing a network's link. We propose a general model for travel time functions that utilizes fluid dynamics laws for compressible flow to capture a variety of flow patterns such as the formation and dissipation of queues, drivers' response to upstream congestion or decongestion and drivers' reaction time. We examine two variants of the model, in the case of separable velocity functions, which gives rise to two families of travel time functions for the problem; a polynomial and an exponential family. We analyze these travel time functions and examine several special cases. Our investigation also extends to the case of non-separable velocity functions starting with an analysis of the interaction between two links, and then extending it to the general case of acyclic networks.
MIT Department
Massachusetts Institute of Technology. Operations Research Center
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