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We study randomized experiments in a service system when stochastic congestion can arise from temporarily limited supply or excess demand. Such congestion gives rise to cross-unit interference between the waiting customers, and analytic…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Shuangning Li , Ramesh Johari , Xu Kuang , Stefan Wager

The article describes the diffusion approximation and the method of its use for evaluation of the effectiveness of active queue management (AQM) mechanisms. The presented model combines the approximation and simulation approaches. The…

Systems and Control · Electrical Eng. & Systems 2019-11-07 Dariusz Marek , Adam Domański , Joanna Domańska , Tadeusz Czachórski , Jerzy Klamka , Jakub Szyguła

In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server that serves both queues with generally distributed service…

Probability · Mathematics 2017-07-14 Mayank Saxena , Onno Boxma , Stella Kapodistria , Rudesindo Núñez Queija

Since its inception, control of data congestion on the Internet has been based on stochastic models. One of the first such models was Random Early Detection. Later, this model was reformulated as a dynamical system, with the average queue…

Dynamical Systems · Mathematics 2020-01-24 José M. Amigó , Angel Giménez , Oscar Martínez-Bonastre , José Valero

Incast traffic in data centers can lead to severe performance degradation, such as packet loss and increased latency. Effectively addressing incast requires prompt and accurate detection. Existing solutions, including MA-ECN, BurstRadar and…

Networking and Internet Architecture · Computer Science 2025-11-06 Yiming Zheng , Haoran Qi , Lirui Yu , Zhan Shu , Qing Zhao

Given a random variable $N$ with values in ${\mathbb{N}}$, and $N$ i.i.d. positive random variables $\{\mu_k\}$, we consider a queue with renewal arrivals and $N$ exponential servers, where server $k$ serves at rate $\mu_k$, under two work…

Probability · Mathematics 2008-08-22 Rami Atar

Distributed cloud networking enables the deployment of a wide range of services in the form of interconnected software functions instantiated over general purpose hardware at multiple cloud locations distributed throughout the network. We…

Networking and Internet Architecture · Computer Science 2017-09-01 Hao Feng , Jaime Llorca , Antonia M. Tulino , Andreas F. Molisch

We address a single server queue control problem (QCP) in heavy traffic originating from Lee and Weerasinghe (2011). The state process represents the offered waiting time, the customer arrival has a state-dependent intensity, and the…

Optimization and Control · Mathematics 2025-07-18 Bowen Xie , Haoyu Yin

This work develops a robust diffusion recursive least squares algorithm to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. This algorithm minimizes an exponentially weighted…

Information Theory · Computer Science 2019-02-20 Y. Yu , R. C. de Lamare , Y. Zakharov

This paper studies the limiting behavior of a closed queueing network with multiple single-server and infinite-server stations. Under a heavy traffic asymptotic regime$\unicode{x2014}$where the number of jobs and single-server service rates…

Probability · Mathematics 2026-03-13 Amir A. Alwan , Barış Ata

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

Information Theory · Computer Science 2018-09-11 Nikolaos Pappas

Motivated by timeouts in Internet services, we consider networks of infinite server queues in which routing decisions are based on deadlines. Specifically, at each node in the network, the total service time equals the minimum of several…

Performance · Computer Science 2016-09-20 Neal Master , Nicholas Bambos

Consider a countably infinite collection of interacting queues, with a queue located at each point of the $d$-dimensional integer grid, having independent Poisson arrivals, but dependent service rates. The service discipline is of the…

Probability · Mathematics 2019-03-12 Abishek Sankararaman , François Baccelli , Sergey Foss

We study link scheduling in wireless networks under stochastic arrival processes of packets, and give an algorithm that achieves stability in the physical (SINR) interference model. The efficiency of such an algorithm is the fraction of the…

Networking and Internet Architecture · Computer Science 2012-03-20 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

We study network response to queries that require computation of remotely located data and seek to characterize the performance limits in terms of maximum sustainable query rate that can be satisfied. The available resources include (i) a…

Networking and Internet Architecture · Computer Science 2016-11-17 Apostolos Destounis , Georgios S. Paschos , Iordanis Koutsopoulos

Discrete flow models offer a powerful framework for learning distributions over discrete state spaces and have demonstrated superior performance compared to the discrete diffusion models. However, their convergence properties and error…

Statistics Theory · Mathematics 2026-05-27 Zhengyan Wan , Yidong Ouyang , Qiang Yao , Liyan Xie , Fang Fang , Hongyuan Zha , Guang Cheng

Congestion is an important issue which researchers focus on in the Transmission Control Protocol (TCP) network environment. To keep the stability of the whole network, congestion control algorithms have been extensively studied. Queue…

Performance · Computer Science 2010-07-15 G. F. Ali Ahammed , Reshma Banu

Deep within the networks of distributed systems, one often finds anomalies that affect their efficiency and performance. These anomalies are difficult to detect because the distributed systems may not have sufficient sensors to monitor the…

Computers and Society · Computer Science 2014-12-09 Freddy Chong Tat Chua , Ee-Peng Lim , Bernardo A. Huberman

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

In this paper, we introduce adversarially robust streaming algorithms for central machine learning and algorithmic tasks, such as regression and clustering, as well as their more general counterparts, subspace embedding, low-rank…

Machine Learning · Computer Science 2021-10-27 Vladimir Braverman , Avinatan Hassidim , Yossi Matias , Mariano Schain , Sandeep Silwal , Samson Zhou
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