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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

In this work, we propose a Bayesian statistical model to simultaneously characterize two or more social networks defined over a common set of actors. The key feature of the model is a hierarchical prior distribution that allows us to…

Social and Information Networks · Computer Science 2021-02-22 Juan Sosa , Brenda Betancourt

The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in competition. In Bayesian inference, first and foremost, MCMC…

Computation · Statistics 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

Predicting future resource demand in Cloud Computing is essential for optimizing the trade-off between serving customers' requests efficiently and minimizing the provisioning cost. Modelling prediction uncertainty is also desirable to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Andrea Rossi , Andrea Visentin , Diego Carraro , Steven Prestwich , Kenneth N. Brown

The dynamics of technological, economic and social phenomena is controlled by how humans organize their daily tasks in response to both endogenous and exogenous stimulations. Queueing theory is believed to provide a generic answer to…

Physics and Society · Physics 2013-05-29 Thomas Maillart , Didier Sornette , Stefan Frei , Thomas Duebendorfer , Alexander Saichev

We study infinite-server queues in which the arrival process is a Cox process (or doubly stochastic Poisson process), of which the arrival rate is given by shot noise. A shot-noise rate emerges as a natural model, if the arrival rate tends…

Probability · Mathematics 2017-03-21 David Koops , Michel Mandjes , Onno Boxma

Emerging trends in communication systems, such as network softwarization, functional disaggregation, and multi-access edge computing (MEC), are reshaping both the infrastructural landscape and the application ecosystem. These…

Networking and Internet Architecture · Computer Science 2025-10-15 Anthony Kiggundu , Bin Han , Dennis Krummacker , Hans D. Schotten

This paper introduces and analyzes the notion of throughput suboptimality for many-server queueing systems in heavy traffic. The queueing model under consideration has multiple customer classes, indexed by a finite set $\mathcal{I}$, and…

Probability · Mathematics 2009-06-15 Rami Atar , Gennady Shaikhet

Dynamic queueing networks (DQN) model queueing systems where demand varies strongly with time, such as airport terminals. With rapidly rising global air passenger traffic placing increasing pressure on airport terminals, efficient…

This article examines the queueing performance of communication systems that transmit encoded data over unreliable channels. A fading formulation suitable for wireless environments is considered where errors are caused by a discrete channel…

Information Theory · Computer Science 2013-09-16 Fatemeh Hamidi-Sepehr , Henry D. Pfister , Jean-Francois Chamberland

A modular fluid-flow model for network congestion analysis and control is proposed. The model is derived from an information conservation law stating that the information is either in transit, lost or received. Mathematical models of…

Networking and Internet Architecture · Computer Science 2012-08-07 Corentin Briat , Emre Altug Yavuz , Gunnar Karlsson

Data Cleaning is a long standing problem, which is growing in importance with the mass of uncurated web data. State of the art approaches for handling inconsistent data are systems that learn and use conditional functional dependencies…

Databases · Computer Science 2012-04-18 Yuheng Hu , Sushovan De , Yi Chen , Subbarao Kambhampati

By analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting {\it Group-Server Queues}, and establishes two representative group-server queues through loss networks and impatient…

Performance · Computer Science 2017-07-24 Quan-Lin Li , Jing-Yu Ma , Mingzhou Xie , Li Xia

We consider queueing models, where customers arrive according to a continuous-time binomial process on a finite interval. In this arrival process, a total of $K$ customers arrive in the finite time interval $[0,T]$, where arrival times of…

Probability · Mathematics 2024-12-10 Kaito Hayashi , Yoshiaki Inoue , Tetsuya Takine

We analyze a tandem network of polling queues with two product types and two stations. We assume that external arrivals to the network follow a Poisson process, and service times at each station are exponentially distributed. For this…

Performance · Computer Science 2021-05-25 Ravi Suman , Ananth Krishnamurthy

We extend the recently introduced regularization/Bayesian System Identification procedures to the estimation of time-varying systems. Specifically, we consider an online setting, in which new data become available at given time steps. The…

Systems and Control · Computer Science 2016-09-26 Giulia Prando , Diego Romeres , Alessandro Chiuso

Large-scale scientific collaborations like ATLAS, Belle II, CMS, DUNE, and others involve hundreds of research institutes and thousands of researchers spread across the globe. These experiments generate petabytes of data, with volumes soon…

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

Probability · Mathematics 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

We consider exponential single server queues with state-dependent arrival and service rates which evolve under influences of external environments. The transitions of the queues are influenced by the environment's state and the movements of…

Probability · Mathematics 2023-07-19 Sonja Otten , Ruslan Krenzler , Hans Daduna , Karsten Kruse

Bayesian sociality models provide a scalable and flexible alternative for network analysis, capturing degree heterogeneity through actor-specific parameters while mitigating the identifiability challenges of latent space models. This paper…

Methodology · Statistics 2025-03-20 Juan Sosa , Carlo Martínez