Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 8, Pages 1381–1394
DOI: https://doi.org/10.31857/S0044466923070190 (Mi zvmmf11608) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Computer science

Constructing estimates of reachability sets in crowd flows modeling

M. V. Zaitseva, P. A. Tochilin

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia
Full-text PDF Citations (4)
DOI: https://doi.org/10.31857/S0044466923070190
Abstract: Mathematical modeling of crowd flows in a building is studied. The study is based on a modification of the discrete CTM macromodel built on guaranteed estimates. Two methods for an approximate calculation of the reachability set–the number of people in each room at the next point in time–are proposed. Interval estimates and estimates in the form of sets of two-dimensional projections are constructed. The proposed algorithms are illustrated by numerical examples.
Key words: crowd flow modeling, linear programming, reachability set, nonlinear dynamics.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
The paper was published with the financial support of the Ministry of Education and Science of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics under the agreement no. 075-15-2022-284.
Received: 23.01.2023
Revised: 23.01.2023
Accepted: 30.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 8, Pages 1527–1539
DOI: https://doi.org/10.1134/S0965542523070163
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. V. Zaitseva, P. A. Tochilin, “Constructing estimates of reachability sets in crowd flows modeling”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1381–1394; Comput. Math. Math. Phys., 63:8 (2023), 1527–1539
Citation in format AMSBIB
\Bibitem{ZaiToc23}
\by M.~V.~Zaitseva, P.~A.~Tochilin
\paper Constructing estimates of reachability sets in crowd flows modeling
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 8
\pages 1381--1394
\mathnet{http://mi.mathnet.ru/zvmmf11608}
\crossref{https://doi.org/10.31857/S0044466923070190}
\elib{https://elibrary.ru/item.asp?id=54270666}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 8
\pages 1527--1539
\crossref{https://doi.org/10.1134/S0965542523070163}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11608
  • https://www.mathnet.ru/eng/zvmmf/v63/i8/p1381
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025