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In this paper we prove Aldous's conjecture from 1987 that there is no backoff protocol that is stable for any positive arrival rate. The setting is a communication channel for coordinating requests for a shared resource. Each user who wants…

Probability · Mathematics 2026-03-04 Leslie Ann Goldberg , John Lapinskas

Retransmissions represent a primary failure recovery mechanism on all layers of communication network architecture. Similarly, fair sharing, e.g. processor sharing (PS), is a widely accepted approach to resource allocation among multiple…

Performance · Computer Science 2014-09-22 Predrag R. Jelenković , Evangelia D. Skiani

Randomized backoff protocols, such as exponential backoff, are a powerful tool for managing access to a shared resource, often a wireless communication channel (e.g., [1]). For a wireless device to transmit successfully, it uses a backoff…

Data Structures and Algorithms · Computer Science 2022-07-26 Michael A. Bender , Seth Gilbert , Fabian Kuhn , John Kuszmaul , Muriel Médard

In this paper, we present a condition to obtain instability for a class of queueing networks where the arrival rates in each server are constant and the departure rate in each server is a decreasing function of the queue lengths of other…

Probability · Mathematics 2023-08-01 Pierre Popineau , Seva Shneer

Stability with respect to a given scheduling policy has become an important issue for wireless communication systems, but it is hard to prove in particular scenarios. In this paper two simple conditions for stability in broadcast channels…

Networking and Internet Architecture · Computer Science 2009-04-16 Chan Zhou , Gerhard Wunder

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

We consider the impact of scheduling disciplines on performance of routing in the framework of adversarial queuing. We propose an adversarial model which reflects stalling of packets due to transient failures and explicitly incorporates…

Networking and Internet Architecture · Computer Science 2018-12-31 Bogdan S. Chlebus , Vicent Cholvi , Dariusz R. Kowalski

We consider a heterogeneous distributed service system, consisting of $n$ servers with unknown and possibly different processing rates. Jobs with unit mean and independent processing times arrive as a renewal process of rate $\lambda n$,…

Performance · Computer Science 2020-07-15 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

We consider stability of scheduled multiaccess message communication with random coding and joint maximum-likehood decoding of messages. The framework we consider here models both the random message arrivals and the subsequent reliable…

Information Theory · Computer Science 2007-07-13 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

We consider a stochastic queueing system modelling the behaviour of a wireless network with nodes employing a discrete-time version of the standard decentralised medium access algorithm. The system is {\em unsaturated} -- each node receives…

Networking and Internet Architecture · Computer Science 2018-03-21 Seva Shneer , Alexander Stolyar

In this paper, we study stability and latency of routing in wireless networks where it is assumed that no collision will occur. Our approach is inspired by the adversarial queuing theory, which is amended in order to model wireless…

Networking and Internet Architecture · Computer Science 2010-06-08 Vicent Cholvi , Dariusz R. Kowalski

We study the phenomenon of entrainment in processor sharing networks, whereby, while individual network resources have sufficient capacity to met demand, the requirement for simultaneous availability of resources means that a network may…

Probability · Mathematics 2007-08-01 Jennie Hansen , Cian Reynolds , Stan Zachary

We study, from a network layer perspective, the effect of an Ad-Hoc secondary network with N nodes randomly accessing the spectrum licensed to a primary node during the idle slots of the primary user. If the sensing is perfect, then the…

Information Theory · Computer Science 2012-05-09 Anthony Fanous , Anthony Ephremides

In this paper, we consider contention resolution on a multiple-access communication channel. In this problem, a set of nodes arrive over time, each with a message it intends to send. In each time slot, each node may attempt to broadcast its…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-22 Haimin Chen , Yonggang Jiang , Chaodong Zheng

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

Stability is an important issue in order to characterize the performance of a network, and it has become a major topic of study in the last decade. Roughly speaking, a communication network system is said to be stable if the number of…

Networking and Internet Architecture · Computer Science 2020-05-06 Vicent Cholvi , Paweł Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

Randomized exponential backoff is a widely deployed technique for coordinating access to a shared resource. A good backoff protocol should, arguably, satisfy three natural properties: (i) it should provide constant throughput, wasting as…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-14 Michael A. Bender , Jeremy T. Fineman , Seth Gilbert , Maxwell Young

In this paper we consider the Max-Weight protocol for routing and scheduling in wireless networks under an adversarial model. This protocol has received a significant amount of attention dating back to the papers of Tassiulas and…

Networking and Internet Architecture · Computer Science 2012-01-17 Sungsu Lim , Kyomin Jung , Matthew Andrews

The purpose of this paper is to analyze the so-called back-off technique of the IEEE 802.11 protocol in broadcast mode with waiting queues. In contrast to existing models, packets arriving when a station (or node) is in back-off state are…

Performance · Computer Science 2018-12-05 Guy Fayolle , Paul Muhlethaler
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