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We analyze access statistics of several popular webpages for a period of several years. The graphs of daily downloads are highly non-homogeneous with long periods of low activity interrupted by bursts of heavy traffic. These bursts are due…

Physics and Society · Physics 2009-11-13 M. V. Simkin , V. P. Roychowdhury

We consider the exclusion process on a ring with time-dependent defective bonds at which the hoping rate periodically switches between zero and one. This system models main roads in city traffics, intersecting with perpendicular streets. We…

Physics and Society · Physics 2017-03-08 Chikashi Arita , M. Ebrahim Foulaadvand , Ludger Santen

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

Adaptation and Self-Organizing Systems · Physics 2014-12-16 Bo Yang , Christopher Monterola

Traffic modeling of communication networks such as Internet has become a very important field of research. A number of interesting phenomena are found in measurements and traffic simulations. One of them is the propagation of congestion…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jozsef Steger , Peter Vaderna , Gabor Vattay

Consider a network embedded in the 2D plane, where a particle diffuses along the edges of the network. It is clear that over short length scales a particle moves along a single edge and thus undergoes one-dimensional diffusion. However, on…

Statistical Mechanics · Physics 2021-08-23 D. B. Wilson , C. H. L. Beentjes

Little's law allows to express the mean user throughput in any region of the network as the ratio of the mean traffic demand to the steady-state mean number of users in this region. Corresponding statistics are usually collected in…

Networking and Internet Architecture · Computer Science 2014-03-25 Bartlomiej Blaszczyszyn , Miodrag Jovanovic , Mohamed Kadhem Karray

The Internet, as well as many other networks, has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient for a communications network, favors at the same time the…

Statistical Mechanics · Physics 2009-10-31 Romualdo Pastor-Satorras , Alessandro Vespignani

The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

Disordered Systems and Neural Networks · Physics 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

The abnormal fluctuations in network traffic may indicate potential security threats or system failures. Therefore, efficient network traffic prediction and anomaly detection methods are crucial for network security and traffic management.…

Machine Learning · Computer Science 2025-07-02 Yujun Zhang , Runlong Li , Xiaoxiang Liang , Xinhao Yang , Tian Su , Bo Liu , Yan Zhou

Transport through nano-channels plays an important role in many biological processes and industrial applications. Gaining insights into the functioning of biological transport processes and the design of man-made nano-devices requires an…

Statistical Mechanics · Physics 2015-05-19 Anton Zilman , Golan Bel

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

Models for the dynamics of congestion control generally involve systems of coupled differential equations. Universally, these models assume that traffic sources saturate the maximum transmissions allowed by the congestion control method.…

Networking and Internet Architecture · Computer Science 2024-03-25 Harvinder Lehal , Natchanon Luangsomboon , Jörg Liebeherr

We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TASEP phenomenology on a single segment and borrowing ideas…

Statistical Mechanics · Physics 2011-08-09 I. Neri , N. Kern , A. Parmeggiani

We model information traffic on scale-free networks by introducing the bandwidth as the delivering ability of links. We focus on the effects of bandwidth on the packet delivering ability of the traffic system to better understand traffic…

Physics and Society · Physics 2009-11-13 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Yong-Hong Wu

The intersecting pedestrian flow on the 2D lattice with random update rule is studied. Each pedestrian has three moving directions without the back step. Under periodic boundary conditions, an intermediate phase has been found at which some…

Cellular Automata and Lattice Gases · Physics 2017-03-06 Zhong-Jun Ding , Shao-Long Yu , Kongjin Zhu , Jian-Xun Ding , Bokui Chen , Qin Shi , Rui Jiang , Bing-Hong Wang

We consider a single server queue that serves a finite population of $n$ customers that will enter the queue (require service) only once, also known as the $\Delta_{(i)}/G/1$ queue. This paper presents a method for analyzing heavy-traffic…

Probability · Mathematics 2015-12-01 Gianmarco Bet , Remco van der Hofstad , Johan S. H. van Leeuwaarden

We report the results of an in-depth study of the role of graph topology on quantum transport efficiency in random removal and Watts-Strogatz networks. By using four different environmental models -- noiseless, driving by classical random…

Quantum Physics · Physics 2023-03-17 Arzu Kurt , Matteo A. C. Rossi , Jyrki Piilo

We investigate random walks on complex networks and derive an exact expression for the mean first passage time (MFPT) between two nodes. We introduce for each node the random walk centrality $C$, which is the ratio between its coordination…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh , Heiko Rieger

In this paper, we provide a throughput analysis of the IEEE 802.11 protocol at the data link layer in non-saturated traffic conditions taking into account the impact of both transmission channel and capture effects in Rayleigh fading…

Networking and Internet Architecture · Computer Science 2016-11-17 F. Daneshgaran , Massimiliano Laddomada , F. Mesiti , M. Mondin

We solve a very general two-channel fermion-boson model describing charge transport within some background medium by means of a refined pseudo-site density matrix renormalization group (DMRG) technique. Performing a careful finite-size…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ejima , G. Hager , H. Fehske