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A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

adap-org · Physics 2008-02-03 Jan Freund , Thorsten Pöschel

This paper studies the information-theoretic secrecy performance in large-scale cellular networks based on a stochastic geometry framework. The locations of both base stations and mobile users are modeled as independent two-dimensional…

Information Theory · Computer Science 2014-01-09 He Wang , Xiangyun Zhou , Mark C. Reed

We analytically study a carrier sense multiple access (CSMA)-based network. In the network, the nodes have their own average throughput demands for transmission to a common base station. The CSMA is based on the request-to-send…

Computer Science and Game Theory · Computer Science 2015-03-13 Fu-Te Hsu , Hsuan-Jung Su

Many real-world phenomena can be modelled as dynamical processes on networks, a prominent example being the spread of infectious diseases such as COVID-19. Mean-field approximations are a widely used tool to analyse such dynamical processes…

Probability · Mathematics 2025-08-25 Jonathan A. Ward , Gábor Timár , Péter L. Simon

In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at the various queues depend on the server location. For this…

Probability · Mathematics 2014-08-04 Marko Boon , Sandra van Wijk , Ivo Adan , Onno Boxma

Instead of assuming fully loaded cells in the analysis on cache-enabled networks with tools of stochastic geometry, we focus on the dynamic traffic in this letter. With modeling traffic dynamics of request arrivals and departures,…

Information Theory · Computer Science 2016-09-20 Bin Xia , Chenchen Yang , Tianyu Cao

Numerous networks, such as transportation, distribution and delivery networks optimize their designs in order to increase efficiency and lower costs, improving the stability of its intended functions, etc. Networks that distribute goods,…

Physics and Society · Physics 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa

The Wyner model has been widely used to model and analyze cellular networks due to its simplicity and analytical tractability. Its key aspects include fixed user locations and the deterministic and homogeneous interference intensity. While…

Information Theory · Computer Science 2010-09-30 Jiaming Xu , Jun Zhang , Jeffery G. Andrews

A novel approach to analyze statistically the network traffic raw data is proposed. The huge amount of raw data of actual network traffic from the Intrusion Detection System is analyzed to determine if a traffic is a normal or harmful one.…

Cryptography and Security · Computer Science 2014-05-29 A. A. Waskita , H. Suhartanto , P. D. Persadha , L. T. Handoko

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

Statistical Mechanics · Physics 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

In this paper, we consider the problem of modelling the average delay experienced by a packet in a single cell IEEE 802.11 DCF wireless local area network. The packet arrival process at each node i is assumed to be Poisson with rate…

Networking and Internet Architecture · Computer Science 2010-09-23 Albert Sunny , Joy Kuri , Saurabh Aggarwal

A model for growing networks is introduced, having as a main ingredient that new nodes are attached to the network through one existing node and then explore the network through the links of the visited nodes. From exact calculations of two…

Statistical Mechanics · Physics 2007-05-23 Alexei Vazquez

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

Statistical Mechanics · Physics 2015-06-24 Jan Freund , Thorsten Poeschel

We consider navigation schemes on planar diluted lattices and semi lattices with one discrete and one continuous component. More precisely, nodes that survive inhomogeneous Bernoulli site percolation, or are placed as inhomogeneous Poisson…

Probability · Mathematics 2025-06-24 Partha Pratim Ghosh , Benedikt Jahnel , Yannic Steenbeck

In this paper the throughput and energy efficiency of an unlicensed machine type communications network is studied. If an outage event happens in the network, there is a possibility for packet retransmissions in order to obtain a lower…

Information Theory · Computer Science 2019-05-07 Iran Ramezanipour , Hirley Alves , Pedro J. H. Nardelli , Ari Pouttu

Microscopic modeling of multi-lane traffic is usually done by applying heuristic lane changing rules, and often with unsatisfying results. Recently, a cellular automaton model for two-lane traffic was able to overcome some of these problems…

Statistical Mechanics · Physics 2009-10-30 Kai Nagel , Dietrich E Wolf , Peter Wagner , Patrice Simon

We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communicating information and allocating goods in socioeconomic networks. In the model, the utility function of each node is given by a…

Physics and Society · Physics 2009-11-13 Rui Carvalho , Giulia Iori

We present the analytical and numerical results of a random walk on the family of small-world graphs. The average access time shows a crossover from the regular to random behavior with increasing distance from the starting point of the…

Statistical Mechanics · Physics 2009-10-31 Sagar A. Pandit , R. E. Amritkar

Assuming a network of infinite extent, several researchers have analyzed small-cell networks using a Poisson point process (PPP) location model, leading to simple analytic expressions. The general assumption has been that these results…

Information Theory · Computer Science 2015-12-11 S. Alireza Banani , Andrew W. Eckford , Raviraj S. Adve

We consider a stochastic network with mobile users in a heavy-traffic regime. We derive the scaling limit of the multi-dimensional queue length process and prove a form of spatial state space collapse. The proof exploits a recent result by…

Probability · Mathematics 2013-05-24 Sem Borst , Florian Simatos