scholarly journals Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

2019 ◽  
Vol 46 ◽  
pp. 72-90 ◽  
Author(s):  
Natalia Gennadievna Churbanova ◽  
◽  
Antonina Alexandrovna Chechina ◽  
Marina Alexandrovna Trapeznikova ◽  
Pavel Alexeevich Sokolov ◽  
...  
Keyword(s):  
Cellular Automata ◽  
Automata Theory ◽  
Traffic Flows ◽  
Road Segments

scholarly journals Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

2019 ◽  
Vol 46 ◽  
pp. 72-90
Author(s):  
Natalia Gennadievna Churbanova ◽  
◽  
Antonina Alexandrovna Chechina ◽  
Marina Alexandrovna Trapeznikova ◽  
Pavel Alexeevich Sokolov ◽  
...  
Keyword(s):  
Cellular Automata ◽  
Automata Theory ◽  
Traffic Flows ◽  
Road Segments

Simulating multilane traffic flows based on cellular automata theory

2012 ◽  
Vol 4 (1) ◽  
pp. 53-61
Author(s):  
M. A. Trapeznikova ◽  
I. R. Furmanov ◽  
N. G. Churbanova ◽  
R. Lipp
Keyword(s):  
Cellular Automata ◽  
Automata Theory ◽  
Traffic Flows

scholarly journals Traffic Flow Modeling on Road Networks Using Cellular Automata Theory

2018 ◽  
Vol 7 (2.28) ◽  
pp. 225 ◽  
Author(s):  
A Chechina ◽  
N Churbanova ◽  
M Trapeznikova ◽  
A Ermakov ◽  
M German
Keyword(s):  
Cellular Automata ◽  
Initial Conditions ◽  
Road Networks ◽  
Original Model ◽  
Program Package ◽  
Automata Theory ◽  
Flow Modeling ◽  
Traffic Flows ◽  
Urban Road ◽  
The Road

The paper deals with mathematical modeling of traffic flows on urban road networks. The original model is based on the cellular automata theory and presents a generalization of Nagel-Schreckenberg model to a multilane case.Numerical realization of the model is represented in a form of the program package that consists of two modules: User Interface and Visualization module (for setting initial conditions and modelling parameters and visual representation of calculations) and Computation module (for calculations).Computations are carried out for each element of the road (i.e. T or X type intersection, straight road fragment) separately and in parallel, that allows performing calculations on various complex road networks. Different kinds of average characteristics (e.g. the capacity of the crossroad) can be also obtained using the program package. 

PARALLEL SIMULATION AND VISUALIZATION OF TRAFFIC FLOWS USING CELLULAR AUTOMATA THEORY AND QUASIGASDYNAMIC APPROACH

2020 ◽  
pp. 223-236
Author(s):  
Antonina Chechina ◽  
Natalia Churbanova ◽  
Pavel Sokolov ◽  
Marina Trapeznikova ◽  
Mikhail German ◽  
...  
Keyword(s):  
Cellular Automata ◽  
Parallel Simulation ◽  
Automata Theory ◽  
Traffic Flows

scholarly journals Multilane Traffic Flow Modeling Using Cellular Automata Theory

2018 ◽  
Vol 173 ◽  
pp. 06003 ◽  
Author(s):  
Antonina Chechina ◽  
Natalia Churbanova ◽  
Marina Trapeznikova
Keyword(s):  
Mathematical Modeling ◽  
Cellular Automata ◽  
Traffic Flow ◽  
Road Networks ◽  
Automata Theory ◽  
Flow Modeling ◽  
Traffic Flows ◽  
Microscopic Approach ◽  
Traffic Lights ◽  
Urban Road

The paper deals with the mathematical modeling of traffic flows on urban road networks using microscopic approach. The model is based on the cellular automata theory and presents a generalization of the Nagel-Schreckenberg model to a multilane case. The created program package allows to simulate traffic on various types of road fragments (T or X type intersection, strait road elements, etc.) and on road networks that consist of these elements. Besides that, it allows to predict the consequences of various decisions regarding road infrastructure changes, such as: number of lanes increasing/decreasing, putting new traffic lights into operation, building new roads, entrances/exits, road junctions.

scholarly journals Driver Behaviour Algorithms for the Cellular Automata-Based Mathematical Model of Traffic Flows

2021 ◽  
Vol 248 ◽  
pp. 02002
Author(s):  
Antonina Chechina ◽  
Natalia Churbanova ◽  
Marina Trapeznikova
Keyword(s):  
Cellular Automata ◽  
Flow Model ◽  
Complex Interaction ◽  
Automata Theory ◽  
Numerical Implementation ◽  
Traffic Flows ◽  
Driver Behaviour ◽  
Traffic Flow Model ◽  
Stop And Go ◽  
New Algorithms

The work is devoted to the development of new algorithms describing the complex interaction of drivers for the parallel numerical implementation of the traffic flow model developed by the authors based on the cellular automata theory. As is known from observations, the behaviour of drivers largely determines how difficult it will be to pass a section with a bottleneck (a narrowing, a motionless obstacle, etc.) or even without it at the same flow values. In such conditions, cars can move in a synchronized flow at a more or less constant speed or go into “stop-and-go” mode. The authors have developed a set of algorithms for a large number of different road situations, which is featured in this article.

Three-dimensional multi-species mathematical model of the aerobic granulation process based on cellular automata theory

2018 ◽  
Vol 77 (12) ◽  
pp. 2761-2771
Author(s):  
Guoqiang Zheng ◽  
Kuizu Su ◽  
Shuai Zhang ◽  
Yulan Wang ◽  
Weihong Wang
Keyword(s):  
Mathematical Model ◽  
Spatial Distribution ◽  
Cellular Automata ◽  
Three Dimensional ◽  
Granular Sludge ◽  
Automata Theory ◽  
Aerobic Granular Sludge ◽  
Granulation Process ◽  
Autotrophic Bacteria ◽  
Degrading Bacteria

Abstract Aerobic granular sludge is a kind of microbial polymer formed by self-immobilization under aerobic conditions. It has been widely studied because of its promising application in wastewater treatment. However, the granulation process of aerobic sludge is still a key factor affecting its practical application. In this paper, a three-dimensional (3D) multi-species mathematical model of aerobic granular sludge was constructed using the cellular automata (CA) theory. The growth process of aerobic granular sludge and its spatial distribution of microorganisms were studied under different conditions. The simulation results show that the aerobic granules were smaller under high shear stress and that the autotrophic bacterial content of the granular sludge interior was higher. However, the higher the dissolved oxygen concentration, the larger the size of granular sludge and the higher the content of autotrophic bacteria in the interior of the granular sludge. In addition, inhibition of toxic substances made the aerobic granule size increase more slowly, and the spatial distribution of the autotrophic bacteria and the toxic-substance-degrading bacteria were mainly located in the outer layer, with the heterotrophic bacteria mainly existing in the interior of the granular sludge.

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