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This article presents a mathematical model for the dynamics of probabilistic traffic at one of the intersections in Osh city (the intersection of A. Masaliev and Monuev streets). The variation in traffic flow is considered as a random process, and the critically permissible number of vehicles is determined for one direction of the intersection in the traffic network. A numerical solution is developed based on the finite-difference scheme, and an algorithm for solving the problem is constructed. Solution graphs are obtained and analyzed. Based on the resulting data, the outcomes can be used to adjust the traffic lights at this intersection.

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Mathematical Models and Algorithms for a Transport Intersection in Osh

  • 会议论文

  • 发表日期：

    2025年

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  • Gulzina Adieva,
  • Abdugany Satybaev,
  • Malika Elchieva

摘要

This article presents a mathematical model for the dynamics of probabilistic traffic at one of the intersections in Osh city (the intersection of A. Masaliev and Monuev streets). The variation in traffic flow is considered as a random process, and the critically permissible number of vehicles is determined for one direction of the intersection in the traffic network. A numerical solution is developed based on the finite-difference scheme, and an algorithm for solving the problem is constructed. Solution graphs are obtained and analyzed. Based on the resulting data, the outcomes can be used to adjust the traffic lights at this intersection.