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

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

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.

Suggested Citation

  • Hoang, Nam H. & Vu, Hai L. & Panda, Manoj & Lo, Hong K., 2019. "A linear framework for dynamic user equilibrium traffic assignment in a single origin-destination capacitated network," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 329-352.
    • Handle: RePEc:eee:transb:v:126:y:2019:i:c:p:329-352
    DOI: 10.1016/j.trb.2017.11.013
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