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We study symmetric queuing networks with moving servers and FIFO service discipline. The mean-field limit dynamics demonstrates unexpected behavior which we attribute to the meta-stability phenomenon. Large enough finite symmetric networks…

Probability · Mathematics 2018-12-05 F. Baccelli , A. Rybko , S. Shlosman , A. Vladimirov

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

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

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

In this paper we solve a particular stochastic recursion in the stationary ergodic framework, and propose some applications of this result to the study of regenerativity (that is, finiteness of busy cycles) and stationarity of some queueing…

Probability · Mathematics 2010-09-08 Pascal Moyal

Motivated by recent concerns that queuing delays in the Internet are on the rise, we conduct a performance evaluation of Compound TCP (C-TCP) in two topologies: a single bottleneck and a multi-bottleneck topology, under different traffic…

Networking and Internet Architecture · Computer Science 2018-12-27 Debayani Ghosh , Krishna Jagannathan , Gaurav Raina

Due to the presence of buffers in the inner network nodes, each congestion event leads to buffer queueing and thus to an increasing end-to-end delay. In the case of delay sensitive applications, a large delay might not be acceptable and a…

Networking and Internet Architecture · Computer Science 2017-01-23 Stefano D'Aronco , Laura Toni , Sergio Mena , Xiaoqing Zhu , Pascal Frossard

Traditionally, distributed and parallel transactional systems have been studied in isolation, as they targeted different applications and experienced different bottlenecks. However, modern high-bandwidth networks have made the study of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-09 Naama Ben-David , Gal Sela , Adriana Szekeres

Consider a queueing system consisting of multiple servers. Jobs arrive over time and enter a queue for service; the goal is to minimize the size of this queue. At each opportunity for service, at most one server can be chosen, and at most…

Systems and Control · Computer Science 2019-11-25 Subhashini Krishnasamy , Rajat Sen , Ramesh Johari , Sanjay Shakkottai

Meeting the diverse delay requirements of emerging wireless applications is one of the most critical goals for the design of ultradense networks. Though the delay of point-to-point communications has been well investigated using classical…

Information Theory · Computer Science 2018-04-20 Yi Zhong , Martin Haenggi , Fu-Chun Zheng , Wenyi Zhang , Tony Q. S. Quek , Weili Nie

We consider a broad class of queueing models with random state-dependent vacation periods, which arise in the analysis of queue-based back-off algorithms in wireless random-access networks. In contrast to conventional models, the vacation…

Probability · Mathematics 2013-02-14 Niek Bouman , Sem C. Borst , Onno J. Boxma , Johan S. H. van Leeuwaarden

Bounding the queue length in a multiserver queue is a central challenge in queueing theory. Even for the classical $G/G/n$ queue with homogeneous servers, it is highly non-trivial to derive a simple and accurate bound for the steady-state…

Probability · Mathematics 2026-04-07 Yige Hong

The paper studies a closed queueing network containing two types of node. The first type (server station) is an infinite server queueing system, and the second type (client station) is a single server queueing system with autonomous…

Probability · Mathematics 2021-07-01 Vyacheslav M. Abramov

We consider a family of discrete time multihop switched queueing networks where each packet moves along a fixed route. In this setting, BackPressure is the canonical choice of scheduling policy; this policy has the virtues of possessing a…

Probability · Mathematics 2016-07-25 Maury Bramson , Bernardo D'Auria , Neil Walton

We consider an automatic overload control for two large service systems modeled as multi-server queues, such as call centers. We assume that the two systems are designed to operate independently, but want to help each other respond to…

Probability · Mathematics 2014-07-30 Ohad Perry , Ward Whitt

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

We study a double-ended queue which consists of two classes of customers. Whenever there is a pair of customers from both classes, they are matched and leave the system immediately. The matching follows first-come-first-serve principle. If…

Probability · Mathematics 2016-07-18 Xin Liu

We consider the bipartite matching model of customers and servers introduced by Caldentey, Kaplan, and Weiss (Adv. Appl. Probab., 2009). Customers and servers play symmetrical roles. There is a finite set C resp. S, of customer, resp.…

Discrete Mathematics · Computer Science 2010-03-19 Ana Bušić , Varun Gupta , Jean Mairesse

In asymptotic regimes, both in time and space (network size), the derivation of network capacity results is grossly simplified by brushing aside queueing behavior in non-Jackson networks. This simplifying double-limit model, however, lends…

Performance · Computer Science 2013-08-02 Florin Ciucu , Ramin Khalili , Yuming Jiang , Liu Yang , Yong Cui

We consider a stable open queuing network as a steady non-equilibrium system of interacting particles. The network is completely specified by its underlying graphical structure, type of interaction at each node, and the Markovian transition…

Statistical Mechanics · Physics 2015-05-18 Vladimir Y. Chernyak , Michael Chertkov , David A. Goldberg , Konstantin Turitsyn