Macroscopic Simulation of Traffic Flow on Continuum Urban Networks

Jiang, Yan; Zhou, Shu Guang

doi:10.4028/www.scientific.net/amm.641-642.887

Cited by 1 publication

(1 citation statement)

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“…to reflect that no traveler enters or exits the obstructions inside the continuum domain. Jiang and Zhou [28] use RDUE in continuum space for dynamic traffic assignments of vehicles inside an urban network. The urban network is considered as a 2D continuum with a configuration similar to Fig.…”

Section: Reactive Dynamic User Equilibrium Modelsmentioning

confidence: 99%

Dynamic traffic assignment using the macroscopic fundamental diagram: A Review of vehicular and pedestrian flow models

Aghamohammadi

Laval

2020

Transportation Research Part B: Methodological

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Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic Fundamental Diagram (MFD) on urban networks led to the formulation of discrete-space models, where the city is divided into a collection of reservoirs. Prior to 2008, a large body of DTA models based on pedestrian flow models had been formulated in continuum space as 2-dimensional conservation laws where the speed-density relationship can now be interpreted as the MFD. Perhaps surprisingly, we found that this continuum-space literature has been mostly unaware of MFD theory, and no attempts exist to verify the assumptions of MFD theory. This has the potential to create significant inconsistencies, and research is needed to analyze their extent and ways to resolve them. We also find that further research is needed to (i) incorporate departure time choice, (ii) improve existing numerical methods, possibly extending recent advances on the one-dimensional kinematic wave (LWR) model, (iii) study the properties of system optimum solutions, (iv) examine the real-time applicability of current continuum-space models compared to traditional DTA methods, and (v) formulate anisotropic models for the interaction of intersecting flows.

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Section: Reactive Dynamic User Equilibrium Modelsmentioning

confidence: 99%