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We develop diffusion approximations for parallel-queueing systems with the randomized longest-queue-first scheduling algorithm by establishing new mean-field limit theorems as the number of buffers $n\to\infty$. We achieve this by allowing…

Probability · Mathematics 2014-10-10 A. B. Dieker , Tonghoon Suk

We simulate queues of activity in a directed sandpile automaton in 1+1 dimensions by adding grains at the top row with driving rate $0 < r \leq 1$. The duration of elementary avalanches is exactly described by the distribution $P_1(t) \sim…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic , Vyatcheslav Priezzhev

This paper considers the steady-state performance of load balancing algorithms in a many-server system with distributed queues. The system has $N$ servers, and each server maintains a local queue with buffer size $b-1,$ i.e. a server can…

Probability · Mathematics 2019-12-30 Xin Liu , Lei Ying

Recent advances have resulted in queue-based algorithms for medium access control which operate in a distributed fashion, and yet achieve the optimal throughput performance of centralized scheduling algorithms. However, fundamental…

Networking and Internet Architecture · Computer Science 2013-05-24 Florian Simatos , Niek Bouman , Sem Borst

In this article, a new mathematical model of human population growth as an autonomous non-Markov queuing system with an unlimited number of servers and two types of applications is proposed. The research of this system was carried out a…

Probability · Mathematics 2020-05-22 Mariia Nosova

Understanding how information can efficiently spread in distributed systems under noisy communications is a fundamental question in both biological research and artificial system design. When agents are able to control whom they interact…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-11 Niccolò D'Archivio , Amos Korman , Emanuele Natale , Robin Vacus

In this paper, we consider a queue-aware distributive resource control algorithm for two-hop MIMO cooperative systems. We shall illustrate that relay buffering is an effective way to reduce the intrinsic half-duplex penalty in cooperative…

Machine Learning · Computer Science 2015-05-20 Rui Wang , Vincent K. N. Lau , Ying Cui

Quality of service (QoS) provisioning in next-generation mobile communications systems entails a deep understanding of the delay performance. The delay in wireless networks is strongly affected by the traffic arrival process and the service…

Information Theory · Computer Science 2018-04-23 Marios Kountouris , Nikolaos Pappas , Apostolos Avranas

This paper investigates the capacity of a channel in which information is conveyed by the timing of consecutive packets passing through a queue with independent and identically distributed service times. Such timing channels are commonly…

Information Theory · Computer Science 2018-03-06 Mehrnaz Tavan , Roy D. Yates , Waheed U. Bajwa

In this paper, we consider a simple network consisting of a source, a half-duplex decode-and-forward relay, and a destination. We propose a new relaying protocol employing adaptive link selection, i.e., in any given time slot, based on the…

Information Theory · Computer Science 2015-03-20 Nikola Zlatanov , Robert Schober , Petar Popovski

Heterogeneity is becoming increasingly ubiquitous in modern large-scale computer systems. Developing good load balancing policies for systems whose resources have varying speeds is crucial in achieving low response times. Indeed, how best…

Performance · Computer Science 2020-06-26 Kristen Gardner , Jazeem Abdul Jaleel , Alexander Wickeham , Sherwin Doroudi

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram

This article considers the performance of digital communication systems transmitting messages over finite-state erasure channels with memory. Information bits are protected from channel erasures using error-correcting codes; successful…

Information Theory · Computer Science 2013-09-10 Santhosh Kumar , Jean-Francois Chamberland , Henry D. Pfister

In this paper, we consider an $N$-queue overloaded polling network attended by a single cyclically roving server. Upon the completion of his service, a customer is either routed to another queue or leaves the system. All the switches are…

Probability · Mathematics 2017-01-17 Zaiming Liu , Yuejiao Wang , Yuqing Chu , Yingqiu Li

In a network, arrival process is converted into departure process through network elements. The departure process suffer propagation delay in the link, processing delay at the network elements like router and data loss due to buffer…

Networking and Internet Architecture · Computer Science 2011-02-19 Nitul Dutta , Iti Saha Misra

We consider the processor sharing $M/M/1$-PS queue which also models balking. A customer that arrives and sees $n$ others in the system "balks" (i.e., decides not to enter) with probability $1-b_n$. If $b_n$ is inversely proportional to…

Probability · Mathematics 2011-04-26 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl

This paper considers a communication system where a source sends time-sensitive information to its destination via queues in tandem. We assume that the arrival process as well as the service process (of each server) are memoryless, and each…

Information Theory · Computer Science 2024-05-07 Ashirwad Sinha , Shubhransh Singhvi , Praful D. Mankar , Harpreet S. Dhillon

Our interest lies in load balancing jobs in large scale systems consisting of multiple dispatchers and FCFS servers. In the absence of any information on job sizes, dispatchers typically use queue length information reported by the servers…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-16 Tim Hellemans , Benny Van Houdt

The Join-the-Shortest-Queue-d routing policy is considered for a large system with $n$ servers. Moderate deviation principles (MDP) for the occupancy process and the empirical queue length process are established as $n\to \infty$. Each MDP…

Probability · Mathematics 2025-03-06 Zhenhua Wang , Ruoyu Wu

A multiple access system with bursty data arrivals to the terminals is considered. The users are frame-synchronized, with variable sized packets independently arriving in each slot at every transmitter. Each packet needs to be delivered to…

Information Theory · Computer Science 2016-11-29 Sakshi Kapoor , Sreejith Sreekumar , Sibi Raj B Pillai
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