title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Modeling of traffic flows
Creators: name: Ð¡Ð°ÑÑÐ¾Ð½Ð¾Ð²Ð°, ÐÐ½Ð°ÑÑÐ°ÑÐ¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÐ¹ Ð¿Ð¾ÑÐ¾Ðº
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MATLAB
transport flow
mathematical model
modeling
density
speed
time
differential equation
system
dependence
macromodeling
micromodeling
mesomodeling
Payne model
Tribera model

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¹ Ð¿Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1) ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿Ð¾ ÑÐµÐ¼Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. 2) ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿Ð¾ ÑÐµÐ¼Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. 3) ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ ÐºÐ»Ð°ÑÑÐ° ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐ¸Ñ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ðµ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð². 4) ÐÑÐ±Ð¾Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð»Ñ Ð¸Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð² MatLab. 5) Ð ÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ (Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð³ÑÐ°ÑÐ¸ÐºÐ¾Ð²) Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ°. 6) Ð¡ÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ°. 7) Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¹ Ð¿Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ°. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð½Ð°ÑÑÐ½Ð¾Ð¹ Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ, Ð±ÑÐ» Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð², Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð° Ð¿ÑÐ¸ÑÐ¸Ð½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð², Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ Ð¾Ð±Ð·Ð¾Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ°. ÐÑÐ»Ð¾ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐµÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð²: Ð¼Ð°ÐºÑÐ¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¹, Ð¼Ð¸ÐºÑÐ¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¹, Ð¼ÐµÐ·Ð¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¹. ÐÑÐ»Ð¸ Ð²ÑÐ±ÑÐ°Ð½Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° Ð´Ð»Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ (Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð³ÑÐ°ÑÐ¸ÐºÐ¾Ð²). ÐÑÐ»Ð¾ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð´Ð°Ð»ÐµÐµ Ð±ÑÐ»Ð¸ ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¿Ð¾ ÐºÐ°Ð¶Ð´Ð¾Ð¼Ñ Ð¼ÐµÑÐ¾Ð´Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÑÐ´ÐµÐ»Ð°Ð½ Ð¾Ð±ÑÐ¸Ð¹ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð±ÑÐ»Ð° Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¹ Ð¿Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ.
description: This work is devoted to the modeling of traffic flows based on selected mathematical models, the development of recommendations for use. Tasks that were solved during the research: 1) Analysis of the subject area on the topic of mathematical methods and mathematical modeling models. 2) Analysis of the subject area on the topic of mathematical modeling models. 3) The study of each class of existing mathematical models describing the movement of traffic flows. 4) The choice of mathematical models for their implementation in MatLab. 5) Implementation (plotting) of selected mathematical models of traffic flow. 6) Comparative analysis of mathematical models of traffic flow. 7) Development of recommendations on the application of mathematical models of traffic flow. As a result, with the help of scientific literature, an analysis of the subject area of traffic flow modeling was performed, the reason for the study of traffic flows was substantiated, and a review of mathematical models of traffic flow was made. Three mathematical methods were studied: macroscopic, microscopic, and mesoscopic. Models of each method were selected for implementation (plotting). The modeling of traffic flows was performed on the basis of selected mathematical models, then conclusions were drawn for each modeling method and a general comparative analysis of modeling methods was made, recommendations for application were developed.