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Lattices are important as models for the node locations in wireless networks for two main reasons: (1) When network designers have control over the placement of the nodes, they often prefer a regular arrangement in a lattice for coverage…

Information Theory · Computer Science 2010-04-02 Martin Haenggi

Proportional fairness is a popular service allocation mechanism to describe and analyze the performance of data networks at flow level. Recently, several authors have shown that the invariant distribution of such networks admits a product…

Probability · Mathematics 2015-06-18 Maria Vlasiou , Jiheng Zhang , Bert Zwart

This work analyzes the gains of cooperative relaying in interference-limited networks, in which outages can be due to interference and fading. A stochastic model based on point process theory is used to capture the spatial randomness…

Information Theory · Computer Science 2016-11-17 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

Most of the stochastic orders for comparing random variables, considered in the literature, are afflicted with two main drawbacks: (i) lack of connex property and (ii) lack of consideration of any dependence structure between the random…

Methodology · Statistics 2021-03-03 Sugata Ghosh , Asok K. Nanda

The performance of wireless networks is fundamentally limited by the aggregate interference, which depends on the spatial distributions of the interferers, channel conditions, and user traffic patterns (or queueing dynamics). These factors…

Networking and Internet Architecture · Computer Science 2021-08-13 Xiao Lu , Mohammad Salehi , Martin Haenggi , Ekram Hossain , and Hai Jiang

Spatial interference alignment among a finite number of users is proposed as a technique to increase the probability of successful transmission in an interference limited clustered wireless ad hoc network. Using techniques from stochastic…

Information Theory · Computer Science 2010-01-14 R. Tresch , M. Guillaud

In this paper, we consider the problem of scheduling real-time traffic in wireless networks under a conflict-graph interference model and single-hop traffic. The objective is to guarantee that at least a certain fraction of packets of each…

Networking and Internet Architecture · Computer Science 2020-01-16 Christos Tsanikidis , Javad Ghaderi

A key challenge in wireless networking is the management of interference between transmissions. Identifying which transmitters interfere with each other is a crucial first step. In this paper we cast the task of estimating the a wireless…

Information Theory · Computer Science 2016-12-19 Jing Yang , Stark Draper , Robert Nowak

This paper develops a stochastic geometry-based approach for the modeling and analysis of single- and multi-cluster wireless networks. We first define finite homogeneous Poisson point processes to model the number and locations of the…

Information Theory · Computer Science 2017-12-27 Seyed Mohammad Azimi-Abarghouyi , Behrooz Makki , Martin Haenggi , Masoumeh Nasiri-Kenari , Tommy Svensson

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth quality-of-service (QoS) requirements can be satisfied. We…

Information Theory · Computer Science 2015-12-11 Ashwin Ganesan

In a series of two papers, we investigate the large deviations and asymptotic behavior of stochastic models of brain neural networks with random interaction coefficients. In this first paper, we take into account the spatial structure of…

Probability · Mathematics 2017-01-05 Tanguy Cabana , Jonathan Touboul

We study the stability of wireless networks under stochastic arrival processes of packets, and design efficient, distributed algorithms that achieve stability in the SINR (Signal to Interference and Noise Ratio) interference model.…

Networking and Internet Architecture · Computer Science 2012-10-18 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

This paper presents an unusual view of interference wireless networks based on complex system thinking. To proceed with this analysis, a literature review of the different applications of complex systems is firstly presented to illustrate…

Information Theory · Computer Science 2013-03-13 Pedro H. J. Nardelli , Paulo Cardieri , William A. Kretzschmar , Matti Latva-aho

Stochastic service systems describe situations in which customers compete for service from scarce resources. Think of check-in lines at airports, waiting rooms in hospitals or queues in supermarkets, where the scarce resource is human…

Probability · Mathematics 2017-06-30 Britt W. J. Mathijsen

We study link scheduling in wireless networks under stochastic arrival processes of packets, and give an algorithm that achieves stability in the physical (SINR) interference model. The efficiency of such an algorithm is the fraction of the…

Networking and Internet Architecture · Computer Science 2012-03-20 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

This paper considers the problem of interference control through the use of second-order statistics in massive MIMO multi-cell networks. We consider both the cases of co-located massive arrays and large-scale distributed antenna settings.…

Information Theory · Computer Science 2015-06-17 Haifan Yin , David Gesbert , Laura Cottatellucci

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

Stochastic ordering among distributions has been considered in a variety of scenarios. Economic studies often involve research about the ordering of investment strategies or social welfare. However, as noted in the literature, stochastic…

Distributed opportunistic scheduling is studied for wireless ad-hoc networks, where many links contend for one channel using random access. In such networks, distributed opportunistic scheduling (DOS) involves a process of joint channel…

Information Theory · Computer Science 2016-11-17 Dong Zheng , Man-On Pun , Weiyan Ge , Junshan Zhang , H. Vincent Poor

In some inferential statistical methods, such as tests and confidence intervals, it is important to describe the stochastic behavior of statistical functionals, aside from their large sample properties. We study such behavior in terms of…

Statistics Theory · Mathematics 2022-10-25 Tommaso Lando , Idir Arab , Paulo Eduardo Oliveira