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We carry out a delay stability analysis (i.e., determine conditions under which expected steady-state delays at a queue are finite) for a simple 3-queue system operated under the Max-Weight scheduling policy, for the case where one of the…

Systems and Control · Computer Science 2012-07-25 Mihalis G. Markakis , Eytan Modiano , John N. Tsitsiklis

This paper investigates an edge computing system where requests are processed by a set of replicated edge servers. We investigate a class of applications where similar queries produce identical results. To reduce processing overhead on the…

Emerging Technologies · Computer Science 2024-05-29 Adrian-Cristian Nicolaescu , Spyridon Mastorakis , Md Washik Al Azad , David Griffin , Miguel Rio

We study parallel \emph{Load Balancing} protocols for a client-server distributed model defined as follows. There is a set $\sC$ of $n$ clients and a set $\sS$ of $n$ servers where each client has (at most) a constant number $d \geq 1$ of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Andrea Clementi , Emanuele Natale , Isabella Ziccardi

In contention resolution, multiple processors are trying to coordinate to send discrete messages through a shared channel with limited communication. If two processors send at the same time, the messages collide and are not transmitted…

Data Structures and Algorithms · Computer Science 2025-02-28 Leslie Ann Goldberg , John Lapinskas

We investigate congestion-aware control of quantum repeater nodes operating under stochastic traffic and finite memory coherence. Entanglement generation is modeled as a probabilistic process producing Werner states subject to depolarizing…

Quantum Physics · Physics 2026-03-27 Nicolò Lo Piparo , William J. Munro , Kae Nemoto

We investigate, under general stationary ergodic assumptions, the stability of systems of $S$ parallel queues in which any incoming customer joins the queue of the server having the $p+1$-th shortest workload ($p < S$), or a free server if…

Probability · Mathematics 2015-12-16 Pascal Moyal

Performance evaluation of caching systems is an old and widely investigated research topic. The research community is once again actively working on this topic because the Internet is evolving towards new transfer modes, which envisage to…

Networking and Internet Architecture · Computer Science 2013-09-04 G. Bianchi , N. Blefari Melazzi , A. Caponi , A. Detti

In this work, we study the impact of a relay node to a network with a finite number of users-sources and a destination node. We assume that the users have saturated queues and the relay node does not have packets of its own; we have random…

Information Theory · Computer Science 2014-02-05 Nikolaos Pappas , Anthony Ephremides , Apostolos Traganitis

The problem of increased queueing delays in the Internet motivates the study of currently implemented transport protocols and active queue management (AQM) policies. We study Compound TCP (default protocol in Windows) with Random Early…

Networking and Internet Architecture · Computer Science 2019-07-16 Sreelakshmi Manjunath , Gaurav Raina

This paper studies the stability and convergence properties of a class of multi-agent concurrent learning (CL) algorithms with momentum and restart. Such algorithms can be integrated as part of the estimation pipelines of data-enabled…

Optimization and Control · Mathematics 2024-06-24 Daniel E. Ochoa , Muhammad U. Javed , Xudong Chen , Jorge I. Poveda

We consider an acyclic network of single-server queues with heterogeneous processing rates. It is assumed that each queue is fed by the superposition of a large number of i.i.d. Gaussian processes with stationary increments and positive…

Probability · Mathematics 2020-09-01 Martin Zubeldia , Michel Mandjes

We analyze convergence of decentralized cooperative online estimation algorithms by a network of multiple nodes via information exchanging in an uncertain environment. Each node has a linear observation of an unknown parameter with randomly…

Signal Processing · Electrical Eng. & Systems 2020-12-08 Jiexiang Wang , Tao Li , Xiwei Zhang

We study a queueing network with a single shared server that serves the queues in a cyclic order. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the…

Probability · Mathematics 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

Some of the most important open problems for linear layouts of graphs ask for the relation between a graph's queue number and its stack number or mixed number. In such, we seek a vertex order and edge partition of $G$ into parts with…

Combinatorics · Mathematics 2025-01-13 Julia Katheder , Michael Kaufmann , Sergey Pupyrev , Torsten Ueckerdt

We study distributed load balancing in bipartite queueing systems where frontends route jobs to heterogeneous backends with workload-dependent service rates. The system's connectivity -- governed by compatibility constraints such as data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-25 Wenxin Zhang , Santiago R. Balseiro , Robert Kleinberg , Vahab Mirrokni , Balasubramanian Sivan , Bartek Wydrowski

This research paper addresses the stability of search algorithms in complex networks when dealing with incomplete information or uncertainty. We propose a theoretical model to investigate whether a global search algorithm with incomplete…

Social and Information Networks · Computer Science 2023-10-17 Andrey Ananev , Aleksey Khlyupin

In a recent paper [1], the authors investigated the maximum stable throughput region of a network composed of a rechargeable primary user and a secondary user plugged to a reliable power supply. The authors studied the cases of an infinite…

Information Theory · Computer Science 2014-01-15 Ahmed El Shafie , Ahmed Sultan

In this paper we study the uniform stability properties of two classes of parallel server networks with multiple classes of jobs and multiple server pools of a tree topology. These include a class of networks with a single non-leaf server…

Optimization and Control · Mathematics 2022-03-22 Hassan Hmedi , Ari Arapostathis , Guodong Pang

The tandem fluid queueing model is a useful tool for performance analysis and control design for a variety of transportation systems. In this article, we study the joint impact of stochastic capacity and spillback on the long-time…

Optimization and Control · Mathematics 2019-05-07 Li Jin , Saurabh Amin

In this paper, we investigate overlap times in a two-dimensional infinite server tandem queue. Specifically, we analyze the amount of time that a pair of customers spend overlapping in any station of the two dimensional tandem network. We…

Probability · Mathematics 2024-03-13 Ruici Gao , Jamol Pender