title: 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¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ 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: Comparative analysis of mathematical models and methods for studying traffic flows
Creators: name: ÐÐ»ÐµÐºÑÐ°Ð½Ð´ÑÐ¾Ð²Ð°, Ð­Ð»Ð»Ð¸Ð½Ð°
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: 2021
Subjects: Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÐ¹ Ð¿Ð¾ÑÐ¾Ðº
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Ð¼Ð¸ÐºÑÐ¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¹
mathematical model
transport flow
motor vehicle
macroscopic
mesoscopic
microscopic

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description: The subject of the graduate qualification work is "Comparative analysis of mathematical models and methods for the study of traffic flows." This work is devoted to the analysis of existing mathematical models and methods for the study of traffic flows. The tasks that were solved during the study: 1. Study the literature on the topic of traffic flow modeling methods and make a review of it. 2. Research of existing mathematical models of traffic flows. 3. Comparative analysis of mathematical models and methods for studying traffic flows. As a result, three existing methods for modeling traffic flows were analyzed: macroscopic, mesoscopic and microscopic. Each of them had pros, cons and distinctive features. Chapter 5 provides a comparative analysis of these models. We also conducted an experiment in which we used the Lighthill-Whitham-Richards (LWR) model in practice.