Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik KRAUNC. Fiz.-Mat. Nauki:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 40, Number 3, Pages 101–110
DOI: https://doi.org/10.26117/2079-6641-2022-40-3-101-110
(Mi vkam557)
 

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL MODELING

A complete system of conditions for uncongested traffic of vehicles in front of a traffic light at a symmetrical two-lane intersection

V. Ch. Kudaev, A. K. Buzdov

Institute of Informatics and Regional Management Problems of the KBNTS RAS
Full-text PDF (735 kB) Citations (1)
References:
Abstract: The problem of optimizing the transport system of cities has not yet been solved. One of the urgent practical problems is the problem of the operation mode of traffic light at the city intersections. The present article is based on the theoretically proven by M. Lighthill and J. Whitham and now widely known condition of non-accumulation of vehicles in front of an intersection traffic light operating in two modes (red light on, green light on) along each of the intersection routes. Although more than 70 years have passed since the Lighthill-Whitham condition was proved, this condition is not used in practice, and is treated as a purely theoretical result. However, the Lighthill-Whitham condition may quite simply get a practical interpretation and average values of the traffic flow would be obtained, based on measurements of the intersection lanes' traffic. Based on the Lighthill-Whitham condition, the paper proves the general condition (necessary and sufficient) to avoid the congestion of vehicles in front of a traffic light at an intersection as a whole and a sufficient condition for blocking an intersection, which makes it possible to identify symmetrical two-lane intersections along each of the highways in the city, that are close to blocking. An optimal solution to the problem of a traffic light is presented based on a commutation relation that sets the limiting times for the green traffic light to be on along each of the intersection routes. It was a symmetrical two-lane intersection that was considered in the work, for the reason that such intersections make up a larger part of urban intersections.
Document Type: Article
UDC: 519.85
MSC: 93-10
Language: Russian
Citation: V. Ch. Kudaev, A. K. Buzdov, “A complete system of conditions for uncongested traffic of vehicles in front of a traffic light at a symmetrical two-lane intersection”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 101–110
Citation in format AMSBIB
\Bibitem{KudBuz22}
\by V.~Ch.~Kudaev, A.~K.~Buzdov
\paper A complete system of conditions for uncongested traffic of vehicles in front of a traffic light at a symmetrical two-lane intersection
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 40
\issue 3
\pages 101--110
\mathnet{http://mi.mathnet.ru/vkam557}
\crossref{https://doi.org/10.26117/2079-6641-2022-40-3-101-110}
Linking options:
  • https://www.mathnet.ru/eng/vkam557
  • https://www.mathnet.ru/eng/vkam/v40/i3/p101
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:45
    Full-text PDF :11
    References:15
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024