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In this paper, flow models of networks without congestion control are considered. Users generate data transfers according to some Poisson processes and transmit corresponding packet at a fixed rate equal to their access rate until the…

Probability · Mathematics 2012-01-17 Mathieu Feuillet

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

Chaotic Dynamics · Physics 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

We study the problem of counting the number of nodes in a slotted-time communication network, under the challenging assumption that nodes do not have identifiers and the network topology changes frequently. That is, for each time slot links…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-08 Alessia Milani , Miguel A. Mosteiro

Distributed secondary frequency control for power systems, is a problem that has been extensively studied in the literature, and one of its key features is that an additional communication network is required to achieve optimal power…

Optimization and Control · Mathematics 2023-12-05 Mengmou Li , Jeremy Watson , Ioannis Lestas

We study the invasion of an unstable state by a propagating front in a peculiar but generic situation where the invasion process exhibits a remnant instability. Here, remnant instability refers to the fact that the spatially constant…

Analysis of PDEs · Mathematics 2020-09-07 Gregory Faye , Matt Holzer , Arnd Scheel , Lars Siemer

We study the almost-sure reachability problem in a distributed system obtained as the asynchronous composition of N copies (called processes) of the same automaton (called protocol), that can communicate via a shared register with finite…

Logic in Computer Science · Computer Science 2016-05-06 Patricia Bouyer , Nicolas Markey , Mickael Randour , Arnaud Sangnier , Daniel Stan

Stability of linear systems with uncertain bounded time-varying delays is studied under assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound…

Optimization and Control · Mathematics 2007-05-23 Eugenii Shustin , Emilia Fridman

Distributed applications are commonly based on overlay networks interconnecting their sites so that they can exchange information. For these overlay networks to preserve their functionality, they should be able to recover from various…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-22 Christian Scheideler , Alexander Setzer , Thim Strothmann

We consider the problem of balancing load items (tokens) in networks. Starting with an arbitrary load distribution, we allow nodes to exchange tokens with their neighbors in each round. The goal is to achieve a distribution where all nodes…

Discrete Mathematics · Computer Science 2015-03-20 Thomas Sauerwald , He Sun

This paper studies a consensus protocol over a group of agents driven by second order dynamics. The communication among members of the group is assumed to be directed and affected by two rationally independent time delays, one in the…

Optimization and Control · Mathematics 2014-07-04 Rudy Cepeda-Gomez , Nejat Olgac

One of the basic properties of a queueing network is stability. Roughly speaking, it is the property that the total number of jobs in the network remains bounded as a function of time. One of the key questions related to the stability issue…

Probability · Mathematics 2009-11-19 David Gamarnik , Dmitriy Katz

We consider learning outcomes in games with carryover effects between rounds: when outcomes in the present round affect the game in the future. An important example of such systems is routers in networking, as they use simple learning…

Computer Science and Game Theory · Computer Science 2025-07-22 Ariana Abel , Yoav Kolumbus , Jeronimo Martin Duque , Cristian Palma Foster , Eva Tardos

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

Alice and Bob want to run a protocol over a noisy channel, where a certain number of bits are flipped adversarially. Several results take a protocol requiring $L$ bits of noise-free communication and make it robust over such a channel. In a…

Data Structures and Algorithms · Computer Science 2015-08-17 Varsha Dani , Thomas P. Hayes , Mahnush Movahedi , Jared Saia , Maxwell Young

The effect of signals on stability, throughput region, and delay in a two-user slotted ALOHA based random-access system with collisions is considered. This work gives rise to the development of random access G-networks, which can model…

Information Theory · Computer Science 2019-02-08 Ioannis Dimitriou , Nikolaos Pappas

Recent studies have suggested that the stability of peer-to-peer networks may rely on persistent peers, who dwell on the network after they obtain the entire file. In the absence of such peers, one piece becomes extremely rare in the…

Networking and Internet Architecture · Computer Science 2017-11-15 Omer Bilgen , Aaron B. Wagner

Consensus of autonomous agents is a benchmark problem in multi-agent control. In this paper, we consider continuous-time averaging consensus policies (or Laplacian flows) and their discrete-time counterparts over time-varying graphs in…

Optimization and Control · Mathematics 2021-05-18 Anton V. Proskurnikov , Giuseppe Carlo Calafiore

We consider the problem of forwarding packets arriving online with their destinations in a line network. In each time step, each router can forward one packet along the edge to its right. Each packet that is forwarded arrives at the next…

Data Structures and Algorithms · Computer Science 2026-03-09 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen , Kevin Schewior , Rob van Stee

Binary exponential backoff (BEB) is a decades-old algorithm for coordinating access to a shared channel. In modern networks, BEB plays an important role in WiFi (IEEE 802.11) and other wireless communication standards. Despite this track…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-12 William C. Anderton , Trisha Chakraborty , Maxwell Young

FAST-TCP achieves better performance than traditional TCP-Reno schemes, but unfortunately it is inherently unfair to older connections due to wrong estimations of the round-trip propagation delay. This paper presents a model for this…

Networking and Internet Architecture · Computer Science 2015-09-02 Miguel Rodríguez-Pérez , Sergio Herrería-Alonso , Manuel Fernández-Veiga , Cándido López-García