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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • 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