Scientific journal
Modern high technologies
ISSN 1812-7320
"Перечень" ВАК
ИФ РИНЦ = 1,279

Personal portfolio
(submit article)

MODELING A MEDIUM DENSITY PEDESTRIAN FLOW AS A CLUSTER FLOW

Naumova N.A. 1
1 Kuban State Technological University
Modeling pedestrian flows has gained immense importance in recent decades, since the construction and design of places of attraction for large numbers of people requires the creation of safety conditions. An urgent task is the development of a mathematical model that allows determining the parameters of pedestrian flows with a sufficient degree of accuracy to control them in real time. Often the stream is split into related pairs or clusters (groups of acquaintances or members of the same family). In the work, the pedestrian flow is considered as a flow of random events. An event is understood as the arrival of a pedestrian to a point on the plane with a fixed coordinate along the axis directed along the movement of the stream. Arriving at this point in the cluster is interpreted as one event. An algorithm has been developed for the automated dividing of a pedestrian traffic of an average density level into clusters. Pedestrian traffic is approximated using Erlang’s law. A method for determining Erlang parameters from experimental data is presented. Using the methods of the theory of random processes, probabilistic functions are derived that characterize the stochastic process of pedestrian arrival at a fixed point in space. The case of merging several streams at a fixed point is also considered. The developed analytical apparatus allows obtaining results in real time, therefore the model is applicable in intelligent transport systems.
pedestrian flow
mathematical model
stochastic process
cluster analysis
traffic organization

Библиографическая ссылка

Наумова Н.А. МОДЕЛИРОВАНИЕ ПЕШЕХОДНОГО ПОТОКА СРЕДНЕГО УРОВНЯ ПЛОТНОСТИ КАК ПОТОКА КЛАСТЕРОВ // Современные наукоемкие технологии. 2020. № 11-1. С. 43-48;
URL: https://top-technologies.ru/en/article/view?id=38296 (дата обращения: 01.07.2026).