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Matematicheskoe modelirovanie, 2006, Volume 18, Number 6, Pages 85–95 (Mi mm60)  

This article is cited in 15 scientific papers (total in 16 papers)

A two-dimensional model of traffic flows

Yu. N. Karamzin, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova

Institute for Mathematical Modelling, Russian Academy of Sciences
References:
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. An original two-dimensional model of congestion traffic flows is developed basing on the continuum approach and analogy with the quasi gas dynamic system of equations. The model is verified by test problems.
Received: 05.12.2005
Bibliographic databases:
Language: Russian
Citation: Yu. N. Karamzin, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “A two-dimensional model of traffic flows”, Mat. Model., 18:6 (2006), 85–95
Citation in format AMSBIB
\Bibitem{KarTraChe06}
\by Yu.~N.~Karamzin, M.~A.~Trapeznikova, B.~N.~Chetverushkin, N.~G.~Churbanova
\paper A two-dimensional model of traffic flows
\jour Mat. Model.
\yr 2006
\vol 18
\issue 6
\pages 85--95
\mathnet{http://mi.mathnet.ru/mm60}
\zmath{https://zbmath.org/?q=an:1096.90005}
Linking options:
  • https://www.mathnet.ru/eng/mm60
  • https://www.mathnet.ru/eng/mm/v18/i6/p85
  • This publication is cited in the following 16 articles:
    1. V. F. Tishkin, M. A. Trapeznikova, A. A. Chechina, N. G. Churbanova, “Modelirovanie transportnykh potokov na osnove kvazigazodinamicheskogo podkhoda i teorii kletochnykh avtomatov s ispolzovaniem superkompyuterov”, Kompyuternye issledovaniya i modelirovanie, 16:1 (2024), 175–194  mathnet  crossref
    2. M. A. Trapeznikova, A. A. Chechina, N. G. Churbanova, “Dvumernaya model kletochnykh avtomatov dlya opisaniya dinamiki transportnykh potokov na elementakh ulichno-dorozhnoi seti”, Matem. modelirovanie, 29:9 (2017), 110–120  mathnet  elib
    3. A. V. Kolesnichenko, “Samoorganizatsiya stokhasticheskoi transportnoi sistemy pod vliyaniem indutsirovannykh multiplikativnym shumom fazovykh perekhodov”, Matem. modelirovanie, 27:11 (2015), 120–134  mathnet  mathscinet  elib
    4. A. S. Bugaev, A. P. Buslaev, V. V. Kozlov, A. G. Tatashev, M. V. Yashina, “Obobschennaya transportno-logisticheskaya model kak klass dinamicheskikh sistem”, Matem. modelirovanie, 27:12 (2015), 65–87  mathnet  elib
    5. M. A. Trapeznikova, A. A. Chechina, N. G. Churbanova, D. B. Polyakov, “Matematicheskoe modelirovanie potokov avtotransporta na osnove makro- i mikroskopicheskikh podkhodov”, Vestn. Astrakhan. gos. tekhn. un-ta. Ser. upravlenie, vychisl. tekhn. inform., 2014, no. 1, 130–139  mathnet
    6. A. V. Kolesnichenko, B. N. Chetverushkin, “Vyvod gidrodinamicheskikh i kvazigidrodinamicheskikh uravnenii dlya avtotransportnykh sistem na osnove statistiki Tsallisa”, Preprinty IPM im. M. V. Keldysha, 2014, 008, 32 pp.  mathnet
    7. A. I. Aptekarev, A. L. Afendikov, V. M. Buchstaber, S. K. Godunov, A. B. Zhizhchenko, V. V. Kozlov, A. I. Maslov, V. P. Platonov, V. F. Tishkin, L. D. Faddeev, “Boris Nikolaevich Chetverushkin (on his 70th birthday)”, Russian Math. Surveys, 69:2 (2014), 387–392  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. M. N. Smirnova, A. I. Bogdanova, Z. J. Zhu, A. S. Manenkova, N. N. Smirnov, “Matematicheskaya model avtotransportnykh potokov s elementami vyazkouprugosti”, Matem. modelirovanie, 26:7 (2014), 54–64  mathnet
    9. A. V. Kolesnichenko, “Samoorganizatsiya sinkhronizirovannykh transportnykh potokov pod vliyaniem indutsirovannykh shumom perekhodov”, Preprinty IPM im. M. V. Keldysha, 2013, 057, 19 pp.  mathnet
    10. Kolesnichenko A.V., Chetverushkin B.N., “Kinetic Derivation of a Quasi-Hydrodynamic System of Equations on the Base of Nonextensive Statistics”, Russ. J. Numer. Anal. Math. Model, 28:6 (2013), 547–576  crossref  mathscinet  zmath  isi  elib  scopus
    11. M. A. Trapeznikova, I. R. Furmanov, N. G. Churbanova, R. Lipp, “Simulation of multilane vehicle traffic flows based on the cellular automata theory”, Math. Models Comput. Simul., 4:1 (2012), 53–61  mathnet  crossref  elib
    12. A. A. Zlotnik, “On stability of small perturbations for a modified two-dimensional quasi-gasdynamic model of traffic flows”, Math. Models Comput. Simul., 2:6 (2010), 776–781  mathnet  crossref  mathscinet  zmath
    13. A. S. Golubkov, V. A. Tsarev, “Metod i algoritmy mikroskopicheskogo diskretno-sobytiinogo modelirovaniya transportnykh potokov v ulichno-dorozhnykh setyakh”, Matem. modelirovanie, 22:8 (2010), 33–41  mathnet
    14. A. B. Sukhinova, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Two-dimensional macroscopic model of traffic flows”, Math. Models Comput. Simul., 1:6 (2009), 669–676  mathnet  crossref  zmath
    15. A. A. Zlotnik, “Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows”, Comput. Math. Math. Phys., 49:2 (2009), 363–372  mathnet  crossref  mathscinet  zmath  isi
    16. M. V. Lurje, “Mathematical simulation of the street traffic in the presence of traffic lights”, Math. Models Comput. Simul., 2:3 (2010), 388–395  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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