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We consider a system of $N$ servers inter-connected by some underlying graph topology $G_N$. Tasks arrive at the various servers as independent Poisson processes of rate $\lambda$. Each incoming task is irrevocably assigned to whichever…

Probability · Mathematics 2019-04-09 Debankur Mukherjee , Sem C. Borst , Johan S. H. van Leeuwaarden

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 studies the asymptotic behavior of the steady-state waiting time, W_infty, of the M/G/1 queue with subexponenential processing times for different combinations of traffic intensities and overflow levels. In particular, we provide…

Probability · Mathematics 2011-03-22 Mariana Olvera-Cravioto , Peter W. Glynn

The present paper is concerned with the stationary workload of queues with heavy-tailed (regularly varying) characteristics. We adopt a transform perspective to illuminate a close connection between the tail asymptotics and heavy-traffic…

Probability · Mathematics 2023-04-20 Sem Borst

Distributed optimization has become the default training paradigm in modern machine learning due to the growing scale of models and datasets. To mitigate communication overhead, local updates are often applied before global aggregation,…

Machine Learning · Computer Science 2025-08-15 Su Hyeong Lee , Manzil Zaheer , Tian Li

Shared software datapaths underpin modern datacentre networking. They implement mechanisms such as virtual switching, network virtualisation tunneling, or reliable transport, and enforce policies, such as tenant rate limits, virtual network…

Networking and Internet Architecture · Computer Science 2026-04-21 Matheus Stolet , Liam Arzola , Simon Peter , Antoine Kaufmann

In this paper, we study a dynamic on/off server scheduling problem in a queueing system with multi-class servers, where servers are heterogeneous and can be classified into $K$ groups. Servers in the same group are homogeneous. A scheduling…

Optimization and Control · Mathematics 2018-09-13 Li Xia , Zhe George Zhang , Quan-Lin Li , Peter W. Glynn

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Baris Ata , Ebru Kasikaralar

Data center networks need to provide low latency, especially at the tail, as demanded by many interactive applications. To improve tail latency, existing approaches require modifications to switch hardware and/or end-host operating systems,…

Networking and Internet Architecture · Computer Science 2015-01-27 Shuhao Liu , Wei Bai , Hong Xu , Kai Chen , Zhiping Cai

We consider a multi-server queue in the Halfin-Whitt regime: as the number of servers $n$ grows without a bound, the utilization approaches 1 from below at the rate $\Theta(1/\sqrt{n})$. Assuming that the service time distribution is…

Probability · Mathematics 2008-03-19 David Gamarnik , Petar Momcilovic

We study a heavily overloaded single-server queue with abandonment and derive bounds on stationary tail probabilities of the queue length. As the abandonment rate $\gamma \downarrow 0$, the centered-scaled queue length $\tilde{q}$ is known…

Probability · Mathematics 2026-03-20 Zedong Wang , Siva Theja Maguluri

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

Achieving control stability is one of the key design challenges of scalable Wireless Networked Control Systems (WNCS) under limited communication and computing resources. This paper explores the use of an alternative control concept defined…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Rasika Vijithasena , Rafaela Scaciota , Mehdi Bennis , Sumudu Samarakoon

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

We study a job-assignment problem in a large-scale server farm system with geographically deployed servers as abstracted computer components (e.g., storage, network links, and processors) that are potentially diverse. We aim to maximize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-30 Jing Fu , Bill Moran

A particular direction of recent advance about stochastic deep-learning algorithms has been about uncovering a rather mysterious heavy-tailed nature of the stationary distribution of these algorithms, even when the data distribution is not…

Machine Learning · Computer Science 2022-04-28 Sayar Karmakar , Anirbit Mukherjee

Meta learning is a promising paradigm in the era of large models and task distributional robustness has become an indispensable consideration in real-world scenarios. Recent advances have examined the effectiveness of tail task risk…

Machine Learning · Computer Science 2024-10-31 Yiqin Lv , Qi Wang , Dong Liang , Zheng Xie

Recent workload measurements in Google data centers provide an opportunity to challenge existing models and, more broadly, to enhance the understanding of dispatching policies in computing clusters. Through extensive data-driven…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-27 Mert Yildiz , Alexey Rolich , Andrea Baiocchi

As the data scale grows, deep recognition models often suffer from long-tailed data distributions due to the heavy imbalanced sample number across categories. Indeed, real-world data usually exhibit some similarity relation among different…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Lei Liu , Li Liu

In this paper we study the multiple-processor multitask scheduling problem in both deterministic and stochastic models, where each job have several tasks and is complete only when all its tasks are finished. We consider and analyze Modified…

Performance · Computer Science 2022-06-22 Wenxin Li , Ness Shroff