Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation

Ke Han (), Gabriel Eve () and Terry L. Friesz ()
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Ke Han: Imperial College London
Gabriel Eve: Imperial College London
Terry L. Friesz: Pennsylvania State University

Networks and Spatial Economics, 2019, vol. 19, issue 3, No 9, 869-902

Abstract: Abstract Dynamic user equilibrium (DUE) is the most widely studied form of dynamic traffic assignment (DTA), in which road travelers engage in a non-cooperative Nash-like game with departure time and route choices. DUE models describe and predict the time-varying traffic flows on a network consistent with traffic flow theory and travel behavior. This paper documents theoretical and numerical advances in synthesizing traffic flow theory and DUE modeling, by presenting a holistic computational theory of DUE, which is numerically implemented in a MATLAB package. In particular, the dynamic network loading (DNL) sub-problem is formulated as a system of differential algebraic equations based on the Lighthill-Whitham-Richards fluid dynamic model, which captures the formation, propagation and dissipation of physical queues as well as vehicle spillback on networks. Then, the fixed-point algorithm is employed to solve the DUE problems with simultaneous route and departure time choices on several large-scale networks. We make openly available the MATLAB package, which can be used to solve DUE problems on user-defined networks, aiming to not only facilitate benchmarking a wide range of DUE algorithms and solutions, but also offer researchers a platform to further develop their own models and applications. The MATLAB package and computational examples are available at https://github.com/DrKeHan/DTA .

Keywords: Dynamic traffic assignment; Dynamic user equilibrium; Dynamic network loading; Traffic flow model; Fixed-point algorithm; Software (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s11067-018-9433-y

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