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We consider random-access networks with nodes representing transmitter-receiver pairs whose signals interfere with each other depending on their vicinity. Data packets arrive at the nodes over time and form queues. The nodes can be either…

Probability · Mathematics 2022-05-04 Matteo Sfragara

We consider networks where each node represents a server with a queue. An active node deactivates at unit rate. An inactive node activates at a rate that depends on its queue length, provided none of its neighbors is active. For complete…

Probability · Mathematics 2021-02-10 Sem Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara

In this paper we study the performance of a bipartite network in which customers arrive at the nodes of the network, but not all nodes are able to serve their customers at all times. Each node can be either active or inactive, and two nodes…

Probability · Mathematics 2022-02-15 Sem Borst , Frank den Hollander , Francesca Nardi , Siamak Taati

We examine a queue-based random-access algorithm where activation and deactivation rates are adapted as functions of queue lengths. We establish its heavy traffic behavior on a complete interference graph, which turns out to be highly…

Probability · Mathematics 2021-06-08 Eyal Castiel , Sem Borst , Laurent Miclo , Florian Simatos , Philip Whiting

We use fluid limits to explore the (in)stability properties of wireless networks with queue-based random-access algorithms. Queue-based random-access schemes are simple and inherently distributed in nature, yet provide the capability to…

Networking and Internet Architecture · Computer Science 2013-02-26 Javad Ghaderi , Sem Borst , Phil Whiting

We explore the achievable delay performance in wireless random-access networks. While relatively simple and inherently distributed in nature, suitably designed queue-based random-access schemes provide the striking capability to match the…

Networking and Internet Architecture · Computer Science 2013-05-17 Niek Bouman , Sem Borst , Johan van Leeuwaarden

We consider dense wireless random-access networks, modeled as systems of particles with hard-core interaction. The particles represent the network users that try to become active after an exponential back-off time, and stay active for an…

Probability · Mathematics 2014-03-14 Alessandro Zocca , Sem C. Borst , Johan S. H. van Leeuwaarden

We consider the problem of searching for a node on a labelled random graph according to a greedy algorithm that selects a route to the desired node using metric information on the graph. Motivated by peer-to-peer networks two types of…

Statistical Mechanics · Physics 2013-05-29 David Lancaster

This paper considers a random access system where each sender can be in two modes of operation, active or not active, and where the set of active users is available to a common receiver only. Active transmitters encode data into independent…

Information Theory · Computer Science 2016-11-18 Paolo Minero , Massimo Franceschetti , David N. C. Tse

In this paper, we consider the performance of a random-access time-slotted wireless network with a single access point and a mix of half- and full- duplex stations. Full-duplex transmissions involve data transmitted simultaneously in both…

Information Theory · Computer Science 2014-07-15 Vaneet Aggarwal , N. K. Shankaranarayanan

We establish mean-field limits for large-scale random-access networks with buffer dynamics and arbitrary interference graphs. While saturated-buffer scenarios have been widely investigated and yield useful throughput estimates for…

Probability · Mathematics 2019-04-25 Fabio Cecchi , Sem C. Borst , Johan S. H. van Leeuwaarden , Philip A. Whiting

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

Traditional random access schemes are designed based on the aggregate process of user activation, which is created on the basis of independent activations of the users. However, in Machine-Type Communications (MTC), some users are likely to…

Information Theory · Computer Science 2018-03-12 Anders Ellersgaard Kalør , Osama A. Hanna , Petar Popovski

We study a discrete time self interacting random process on graphs, which we call Greedy Random Walk. The walker is located initially at some vertex. As time evolves, each vertex maintains the set of adjacent edges touching it that have not…

Probability · Mathematics 2019-02-20 Tal Orenshtein , Igor Shinkar

Consider a wireless network of n nodes represented by a graph G=(V, E) where an edge (i,j) models the fact that transmissions of i and j interfere with each other, i.e. simultaneous transmissions of i and j become unsuccessful. Hence it is…

Networking and Internet Architecture · Computer Science 2011-04-14 Devavrat Shah , Jinwoo Shin , Prasad Tetali

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

In this paper, we propose novel state-based algorithms which dynamically control the random access network based on its current state such as channel states of wireless links and backlog states of the queues. After formulating the problem,…

Information Theory · Computer Science 2010-11-24 Amir Mahdy Khodaian , Babak H. Khalaj

We consider dynamic routing in multi-hop wireless networks with adversarial traffic. The model of wireless communication incorporates interferences caused by packets' arrivals into the same node that overlap in time. We consider two classes…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-08 Bogdan S. Chlebus , Vicent Cholvi , Pawel Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

We study the biased random walk process in random uncorrelated networks with arbitrary degree distributions. In our model, the bias is defined by the preferential transition probability, which, in recent years, has been commonly used to…

Disordered Systems and Neural Networks · Physics 2013-05-29 Agata Fronczak , Piotr Fronczak

We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain number of requests, and each of those requests must be assigned…

Data Structures and Algorithms · Computer Science 2011-02-17 Marek Chrobak , Łukasz Jeż , Jiří Sgall
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