Modeling of Transport Flows in Critical Situations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26510%2F26%3A0201805" target="_blank" >RIV/00216305:26510/26:0201805 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Modeling of Transport Flows in Critical Situations

Popis výsledku v původním jazyce

Cellular automata can be used to model traffic flow by applying a simple algorithm that regulates the acceleration and deceleration of vehicles. Despite its simplicity, this model allows for the observation of large-scale phenomena, such as traffic jams that propagate backward. These backward-propagating congestion patterns emerge naturally from the interactions between vehicles without the need for centralized control. A variation of this model, implemented in MATLAB, was used to study how different parameters, such as vehicle density on the road or the number of lanes, affect traffic flow intensity. The simulation approach leverages a one-dimensional array of discrete cells, where each cell represents a possible vehicle position and its velocity. Experiments revealed that in a system with a single lane and a maximum speed of 1, a phase transition occurs at a density of 0.08 cars per cell. This phase transition marks a critical shift in traffic dynamics: below the threshold, traffic flows freely, while above it, jams persist and propagate. Moreover, this transition was observed only in cases where the maximum speed exceeded one, confirming the non-linear nature of traffic flow dynamics even under simple rule sets.

Název v anglickém jazyce

Modeling of Transport Flows in Critical Situations

Popis výsledku anglicky

Cellular automata can be used to model traffic flow by applying a simple algorithm that regulates the acceleration and deceleration of vehicles. Despite its simplicity, this model allows for the observation of large-scale phenomena, such as traffic jams that propagate backward. These backward-propagating congestion patterns emerge naturally from the interactions between vehicles without the need for centralized control. A variation of this model, implemented in MATLAB, was used to study how different parameters, such as vehicle density on the road or the number of lanes, affect traffic flow intensity. The simulation approach leverages a one-dimensional array of discrete cells, where each cell represents a possible vehicle position and its velocity. Experiments revealed that in a system with a single lane and a maximum speed of 1, a phase transition occurs at a density of 0.08 cars per cell. This phase transition marks a critical shift in traffic dynamics: below the threshold, traffic flows freely, while above it, jams persist and propagate. Moreover, this transition was observed only in cases where the maximum speed exceeded one, confirming the non-linear nature of traffic flow dynamics even under simple rule sets.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

DYNAMICAL SYSTEM MODELLING AND STABILITY INVESTIGATION

ISBN

978-617-8817-15-2

Počet stran výsledku

13

Strana od-do

445-457

Počet stran knihy

562

Název nakladatele

Tetiana Suprun

Místo vydání

Kyiv

Kód UT WoS kapitoly

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