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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

Let $P$ be a set of nodes in a wireless network, where each node is modeled as a point in the plane, and let $s\in P$ be a given source node. Each node $p$ can transmit information to all other nodes within unit distance, provided $p$ is…

Computational Geometry · Computer Science 2017-05-04 Mark de Berg , Hans L. Bodlaender , Sándor Kisfaludi-Bak

When several wireless users are sharing the spectrum, packet collision is a simple, yet widely used model for interference. Under this model, when transmitters cause interference at any of the receivers, their collided packets are discarded…

Information Theory · Computer Science 2016-11-17 Alireza Vahid , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

The recent witnessed evolution of cellular networks from a carefully planned deployment to more irregular, heterogeneous deployments of Macro, Pico and Femto-BSs motivates new analysis and design approaches. In this paper, we analyze the…

Networking and Internet Architecture · Computer Science 2013-09-17 Abdelrahman M. Ibrahim , Tamer ElBatt , Amr El-Keyi

The coverage problem in wireless sensor networks deals with the problem of covering a region or parts of it with sensors. In this paper, we address the problem of covering a set of line segments in sensor networks. A line segment ` is said…

Computational Geometry · Computer Science 2017-11-16 Dinesh Dash , Arijit Bishnu , Arobinda Gupta , Subhas C. Nandy

We investigate a probabilistic model for routeing in a multihop ad-hoc communication network, where each user sends a message to the base station. Messages travel in hops via other users, used as relays. Their trajectories are chosen at…

Optimization and Control · Mathematics 2019-02-18 Wolfgang König , András Tóbiás

In random access protocols, the service rate depends on the number of stations with a packet buffered for transmission. We demonstrate via numerical analysis that this state-dependent rate along with the consideration of Poisson traffic and…

Networking and Internet Architecture · Computer Science 2014-05-23 Cristina Cano , David Malone

Recently, stochastic geometry has been applied to provide tractable performance analysis for low earth orbit (LEO) satellite networks. However, existing works mainly focus on analyzing the ``coverage probability'', which provides limited…

Information Theory · Computer Science 2023-07-06 Yanshi Sun , Zhiguo Ding

We study the diffusion of influence in random multiplex networks where links can be of $r$ different types, and for a given content (e.g., rumor, product, political view), each link type is associated with a content dependent parameter…

Physics and Society · Physics 2012-09-11 Osman Yagan , Virgil Gligor

Vehicular platooning refers to coordinated and close movement of vehicular users (VUs) traveling together along a common route segment, offering strategic benefits such as reduced fuel costs, lower emissions, and improved traffic flow.…

Information Theory · Computer Science 2026-01-28 Kaushlendra Pandey , Harpreet S. Dhillon , Abhishek K. Gupta

The functionality of nodes in a network is often described by the structural feature of belonging to the giant component. However, when dealing with problems like transport, a more appropriate functionality criterion is for a node to belong…

Physics and Society · Physics 2021-02-03 Bnaya Gross , Ivan Bonamassa , Shlomo Havlin

In this work, a VANET (Vehicular Ad-hoc NETwork) is considered to operate on a simple lane, without infrastructure. The arrivals of vehicles are assumed to be general with any traffic and speed assumptions. The vehicles communicate through…

Performance · Computer Science 2015-10-09 Michel Marot , Adel Mounir Saïd , Hossam Afifi

We consider transport networks with nodes scattered at random in a large domain. At certain local rates, the nodes generate traffic flowing according to some navigation scheme in a given direction. In the thermodynamic limit of a growing…

Probability · Mathematics 2016-02-03 Christian Hirsch , Benedikt Jahnel , Paul Keeler , Robert I. A. Patterson

In a Poisson Point Process (PPP) network model, in which the locations of Base Stations (BSs) are randomly distributed according to a Spatial Poisson Process, has been recently used as a tractable stochastic model to analyse the performance…

Information Theory · Computer Science 2016-06-21 Sinh Cong Lam , Kumbesan Sandrasegaran

We compute profile likelihoods for a stochastic model of diffusive transport motivated by experimental observations of heat conduction in layered skin tissues. This process is modelled as a random walk in a layered one-dimensional material,…

This paper provides a necessary and sufficient condition for a random network with nodes Poissonly distributed on a unit square and a pair of nodes directly connected following a generic random connection model to be asymptotically almost…

Networking and Internet Architecture · Computer Science 2012-10-05 Guoqiang Mao , Brian Do Anderson

The stationary isotropic Poisson line process was used to derive upper bounds on mean excess network geodesic length in Aldous and Kendall [Adv. in Appl. Probab. 40 (2008) 1-21]. The current paper presents a study of the geometry and…

Probability · Mathematics 2012-11-08 Wilfrid S. Kendall

Device-to-device (D2D) communication has huge potential for capacity and coverage enhancements for next generation cellular networks. The number of potential nodes for D2D communication is an important parameter that directly impacts the…

Information Theory · Computer Science 2016-03-08 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Ali Imran , Rahim Tafazolli

In "On Coding for Reliable Communication over Packet Networks" (Lun, Medard, and Effros, Proc. 42nd Annu. Allerton Conf. Communication, Control, and Computing, 2004), a capacity-achieving coding scheme for unicast or multicast over lossy…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

In a Vehicular Ad-hoc Network (VANET), the amount of interference from neighboring nodes to a communication link is governed by the vehicle density dynamics in vicinity and transmission probabilities of terminals. It is obvious that…

Networking and Internet Architecture · Computer Science 2012-11-28 Ivan Wang-Hei Ho , Kin K. Leung , John W. Polak
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