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Quasi-dynamic traffic assignment with residual point queues incorporating a first order node model

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  • Bliemer, Michiel C.J.
  • Raadsen, Mark P.H.
  • Smits, Erik-Sander
  • Zhou, Bojian
  • Bell, Michael G.H.
Abstract
Static traffic assignment models are still widely applied for strategic transport planning purposes in spite of the fact that such models produce implausible traffic flows that exceed link capacities and predict incorrect congestion locations. There have been numerous attempts to constrain link flows to capacity. Capacity constrained models with residual queues are often referred to as quasi-dynamic traffic assignment models. After reviewing the literature, we come to the conclusion that an important piece of the puzzle has been missing so far, namely the inclusion of a first order node model. In this paper we propose a novel path-based static traffic assignment model for finding a stochastic user equilibrium in general transportation networks. This model includes a first order (steady-state) node model that yields more realistic turn capacities, which are then used to determine consistent capacity constrained traffic flows, residual point (vertical) queues (upstream bottleneck links), and path travel times consistent with queuing theory. The route choice part of the model is specified as a variational inequality problem, while the network loading part is formulated as a fixed point problem. Both problems are solved using existing techniques to find a solution. We illustrate the model using hypothetical examples, and also demonstrate feasibility on large-scale networks.

Suggested Citation

  • Bliemer, Michiel C.J. & Raadsen, Mark P.H. & Smits, Erik-Sander & Zhou, Bojian & Bell, Michael G.H., 2014. "Quasi-dynamic traffic assignment with residual point queues incorporating a first order node model," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 363-384.
    • Handle: RePEc:eee:transb:v:68:y:2014:i:c:p:363-384
    DOI: 10.1016/j.trb.2014.07.001
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    5. Brederode, Luuk & Pel, Adam & Wismans, Luc & Rijksen, Bernike & Hoogendoorn, Serge, 2023. "Travel demand matrix estimation for strategic road traffic assignment models with strict capacity constraints and residual queues," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 1-31.
    6. Raadsen, Mark P.H. & Bliemer, Michiel C.J., 2023. "General solution scheme for the static link transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 108-135.
    7. Wang, Yi & Szeto, W.Y. & Han, Ke & Friesz, Terry L., 2018. "Dynamic traffic assignment: A review of the methodological advances for environmentally sustainable road transportation applications," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 370-394.
    8. Smith, Michael J & Viti, Francesco & Huang, Wei & Mounce, Richard, 2023. "With spatial queueing, the P0 responsive traffic signal control policy may fail to maximise network capacity even if queue storage capacities are very large," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
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