Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

Churbanova, N. G.; Chechina, Antonina Alexandrovna; Trapeznikova, Marina; Sokolov, Pavel

doi:10.20948/mathmon-2019-46-7

Cited by 7 publications

(4 citation statements)

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“…Newell's Car-Following Model [26] Gipps' model [26] 4. Models of cellular automata (CA) [5,27] Multilane CA model based on Nagel-Schreckenberg model [24,25,21] Note, that the QGD traffic model and the multilane CA model are original developments of the authors of the present paper.…”

Section: Microscopic Modelsmentioning

confidence: 98%

“…McCormack's scheme [22] Upwind scheme [23] 2. Macroscopic models Quasi-gas dynamic (QGD) traffic model [24,25] Lighthill-Whitham-Richards (LWR) model [26]…”

Section: User Requirements Interface and Platform Functionalitymentioning

confidence: 99%

“…The platform sections "Macroscopic models" and "Microscopic models" include the subsections "Theory", "Examples" and "Calculation methods". The well-known LWR model [26] with the parabolic fundamental diagram and the QGD traffic model with terms responsible for entry/exit and changing the number of lanes [24,25] are embedded. The user has the opportunity to compare results of some problems' solution, obtained on the basis of these models.…”

Section: Experiments: Approbation Of Macro-and Microscopic Models Vis...mentioning

confidence: 99%

“…In particular, the upstream propagation of the jam caused by the lane closure is observed. A significant part of the project is the development of visualization tools for a traffic flow model based on the CA theory, namely, the Nagel-Schreckenberg model, extended to the case of multi-lane traffic [24,25,21]. The primary task is to ensure the interaction of the code with visual components.…”

Section: Experiments: Approbation Of Macro-and Microscopic Models Vis...mentioning

confidence: 99%

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Digital Training Platform for Comprehensive Traffic Simulation

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The paper deals with the development of software for traffic flow simulation combining the widest spectrum of mathematical approaches used in this field. Macro- and microscopic models, models of cellular automata as well as different numerical methods of their computer implementation are incorporated into a digital platform. Original developments of the authors of the paper such as quasi-gas dynamic traffic model and multilane cellular automata model take the main place. Potential users of the software are students and researchers. The platform possesses an intuitive graphical interface ensuring interactivity. Microsoft Visual Studio with C# is chosen as the development environment, the Unity 3D engine is employed for visualization and collaboration with WinForm projects. In the future, the platform can be transformed into a network computer laboratory providing access to information resources via Internet.

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Section: Microscopic Modelsmentioning

confidence: 98%

“…McCormack's scheme [22] Upwind scheme [23] 2. Macroscopic models Quasi-gas dynamic (QGD) traffic model [24,25] Lighthill-Whitham-Richards (LWR) model [26]…”

Section: User Requirements Interface and Platform Functionalitymentioning

confidence: 99%