Cellular automata models of road traffic
S Maerivoet, B De Moor - Physics reports, 2005 - Elsevier
In this paper, we give an elaborate and understandable review of traffic cellular automata
(TCA) models, which are a class of computationally efficient microscopic traffic flow models …
(TCA) models, which are a class of computationally efficient microscopic traffic flow models …
Computing in the statistics curricula
D Nolan, D Temple Lang - The American Statistician, 2010 - Taylor & Francis
The nature of statistics is changing significantly with many opportunities to broaden the
discipline and its impact on science and policy. To realize this potential, our curricula and …
discipline and its impact on science and policy. To realize this potential, our curricula and …
High-speed flight in an ergodic forest
S Karaman, E Frazzoli - 2012 IEEE International Conference on …, 2012 - ieeexplore.ieee.org
Inspired by birds flying through cluttered environments such as dense forests, this paper
studies the theoretical foundations of high-speed motion through a randomly-generated …
studies the theoretical foundations of high-speed motion through a randomly-generated …
Spectral cycles and average velocity of clusters in discrete two‐contours system with two nodes
MV Yashina, AG Tatashev - Mathematical Methods in the …, 2020 - Wiley Online Library
The paper considers a discrete dynamical system containing two contours. There are n cells
and m particles in each contour. At any time, the particles of each contour form a cluster …
and m particles in each contour. At any time, the particles of each contour form a cluster …
Spectrum of elementary cellular automata and closed chains of contours
A Tatashev, M Yashina - Machines, 2019 - mdpi.com
In this paper, we study the properties of some elementary automata. We have obtained the
characteristics of these cellular automata. The concept of the spectrum for a more general …
characteristics of these cellular automata. The concept of the spectrum for a more general …
Urban traffic from the perspective of dual graph
Urban traffic is modeled using a dual graph representation of the urban transport network,
where roads are mapped to nodes and intersections are mapped to links. The proposed …
where roads are mapped to nodes and intersections are mapped to links. The proposed …
On cellular automata, traffic and dynamical systems in graphs
AP Buslaev, AG Tatashev, MV Yashina - International Journal of …, 2018 - elibrary.ru
Qualitative studies of discrete dynamical systems behavior on networks are relevant in many
fields such as system biology, transportation, information traffic, material sciences and so on …
fields such as system biology, transportation, information traffic, material sciences and so on …
Behavior of continuous two-contours system
AG Tatashev, MV Yashina - WSEAS Transactions on mathematics, 2019 - wseas.com
A deterministic continuous dynamical system is considered. This system contains two
contours. The length of the ith contour equals c_i, i= 1, 2. There is a moving segment …
contours. The length of the ith contour equals c_i, i= 1, 2. There is a moving segment …
For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?
TD Austin, I Benjamini - arXiv preprint math/0607759, 2006 - arxiv.org
arXiv:math/0607759v3 [math.CO] 22 Aug 2006 Page 1 arXiv:math/0607759v3 [math.CO] 22
Aug 2006 For what number of cars must self organization occur in the Biham-Middleton-Levine …
Aug 2006 For what number of cars must self organization occur in the Biham-Middleton-Levine …
Discrete open Buslaev chain with heterogenous loading
M Yashina, A Tatashev - 2019 7th International Conference on …, 2019 - ieeexplore.ieee.org
We consider a dynamical system called a discrete open chain of circles. There is a cluster of
particles in each circle. The clusters move in accordance with given rules. The length of …
particles in each circle. The clusters move in accordance with given rules. The length of …