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Russian Journal of Cybernetics, 2021 Volume 2, Issue 4, Pages 67–74 (Mi uk91)

Mathematical problems of collaborating robotic vehicle traffic

V. A. Galkinabc

a Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation
b Surgut State University, Surgut, Russian Federation
c Industrial University of Tyumen, Surgut Branch, Surgut, Russian Federation

Abstract: An approach to the simulation of time-dependent collaborating vehicle traffic flows based on the self-consistent field theory and A. Vlasov equations are proposed. The problems of the simulation model applicability to collaborative traffic processes such as the behavior of a swarm of identical collaborating vehicles in phase space using the kinetic approach are stated.

Keywords: Vlasov equations, traffic, intelligent transportation system.

DOI: 10.51790/2712-9942-2021-2-4-7



© Steklov Math. Inst. of RAS, 2024