Open AccessMathematical modeling and optimization of traffic flows
Author(s) -
Ekaterina Kasatkina,
Д. Д. Вавилова
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2134/1/012002
Subject(s) - traffic flow (computer networking) , traffic generation model , computer science , traffic signal , mathematical optimization , traffic optimization , traffic network , microscopic traffic flow model , genetic algorithm , traffic congestion reconstruction with kerner's three phase theory , exponential function , traffic wave , simulation , transport engineering , real time computing , traffic congestion , floating car data , engineering , mathematics , computer network , mathematical analysis
The article presents a mathematical model for optimizing traffic flows in an urban environment based on a stochastic approach. It allows to optimize traffic flows using a genetic algorithm by changing the phases of traffic lights operation. An exponential law of distribution of the generation of cars at the input points of the transport network has been established. The relationship between the intensity of servicing the traffic flow and the time of the green signal of the traffic light is revealed. Practical calculations have confirmed the applicability of the optimization model in traffic management.