Modeling of Transport Flows in Critical Situations
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Modeling of Transport Flows in Critical Situations
Original language description
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.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
DYNAMICAL SYSTEM MODELLING AND STABILITY INVESTIGATION
ISBN
978-617-8817-15-2
Number of pages of the result
13
Pages from-to
445-457
Number of pages of the book
562
Publisher name
Tetiana Suprun
Place of publication
Kyiv
UT code for WoS chapter
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