A linear framework for dynamic user equilibrium traffic assignment in a single origin-destination capacitated network

Nam H. Hoang, Hai L. Vu, Manoj Panda and Hong K. Lo

Transportation Research Part B: Methodological, 2019, vol. 126, issue C, 329-352

Abstract: The dynamic traffic assignment (DTA) problem has been studied intensively in the literature. However, there is no existing linear framework to solve the user equilibrium (UE) DTA problem. In this paper, we develop a novel linear programming framework to solve the UE-DTA problem in a dynamic capacity network that exploits the linkage between the UE and system optimal (SO) solutions underpinned by a first-in-first-out (FIFO) principle. This important property enables us to develop an incremental loading method to obtain the UE solutions efficiently by solving a sequence of linear programs. The proposed solution methodology possesses several nice properties such as a predictable number of iterations before reaching the UE solution, and a linear system of equations to be solved in each of the iterations.

Keywords: User equilibrium (UE); System optimal (SO); First-In-First-Out (FIFO); Linear programming (LP); Incremental solution method (ISM) (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.trb.2017.11.013

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