Abstract:
The problem of modeling vehicular traffic flows on city roads and at freeways is considered. A brief review of existing conceptions and models is given. A two-dimensional model of congestion traffic flows is developed basing on the continuum approach and analogy with kinetically consistent finite-difference schemes. The model is verified by test problems.
Citation:
A. B. Sukhinova, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Two-dimensional macroscopic model of traffic flows”, Mat. Model., 21:2 (2009), 118–126; Math. Models Comput. Simul., 1:6 (2009), 669–676
This publication is cited in the following 28 articles:
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Shrey Agrawal, Venkatesan Kanagaraj, Martin Treiber, “Two-dimensional LWR model for lane-free traffic”, Physica A: Statistical Mechanics and its Applications, 625 (2023), 128990
Matteo Piu, Michael Herty, Gabriella Puppo, “Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow”, SIAM J. Appl. Math., 83:5 (2023), 2052
Chetverushkin B., Chechina A., Churbanova N., Trapeznikova M., “Development of Parallel Algorithms For Intelligent Transportation Systems”, Mathematics, 10:4 (2022), 643
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Antonina Chechina, Natalia Churbanova, Pavel Sokolov, Marina Trapeznikova, Mikhail German, Alexey Ermakov, Obidzhon Bozorov, Emerging Extended Reality Technologies For Industry 4.0, 2020, 223
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Herty M., Moutari S., Visconti G., “Macroscopic Modeling of Multilane Motorways Using a Two-Dimensional Second-Order Model of Traffic Flow”, SIAM J. Appl. Math., 78:4 (2018), 2252–2278
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A. V. Kolesnichenko, “Samoorganizatsiya stokhasticheskoi transportnoi sistemy pod vliyaniem indutsirovannykh multiplikativnym shumom fazovykh perekhodov”, Matem. modelirovanie, 27:11 (2015), 120–134
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