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While load balancing in distributed-memory computing has been well-studied, we present an innovative approach to this problem: a unified, reduced-order model that combines three key components to describe "work" in a distributed system:…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-26 Jonathan Lifflander , Philippe P. Pebay , Nicole L. Slattengren , Pierre L. Pebay , Robert A. Pfeiffer , Joseph D. Kotulski , Sean T. McGovern

In modern computer systems, jobs are divided into short tasks and executed in parallel. Empirical observations in practical systems suggest that the task service times are highly random and the job service time is bottlenecked by the…

Performance · Computer Science 2017-02-08 Yin Sun , C. Emre Koksal , Ness B. Shroff

We consider a queueing system with $n$ parallel queues operating according to the so-called "supermarket model" in which arriving customers join the shortest of $d$ randomly selected queues. Assuming rate $n\lambda_{n}$ Poisson arrivals and…

Probability · Mathematics 2017-01-19 Patrick Eschenfeldt , David Gamarnik

Recent years have seen a great increase in the capacity and parallel processing power of data centers and cloud services. To fully utilize the said distributed systems, optimal load balancing for parallel queuing architectures must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-10 Anam Tahir , Kai Cui , Heinz Koeppl

In this work, the achievable rate of three-node relay systems with selection relaying under statistical delay constraints, imposed on the limitations of the maximum end-to-end delay violation probabilities, is investigated. It is assumed…

Information Theory · Computer Science 2015-10-14 Deli Qiao

We consider a generalized processing system having several queues, where the available service rate combinations are fluctuating over time due to reliability and availability variations. The objective is to allocate the available resources,…

Networking and Internet Architecture · Computer Science 2011-05-04 Kevin Ross , Nicholas Bambos , George Michailidis

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information our model considers multi-server queues with customer…

Dynamical Systems · Mathematics 2021-12-14 Philip Doldo , Jamol Pender

We consider learning outcomes in games with carryover effects between rounds: when outcomes in the present round affect the game in the future. An important example of such systems is routers in networking, as they use simple learning…

Computer Science and Game Theory · Computer Science 2025-07-22 Ariana Abel , Yoav Kolumbus , Jeronimo Martin Duque , Cristian Palma Foster , Eva Tardos

We consider load balancing in a network of caching servers delivering contents to end users. Randomized load balancing via the so-called power of two choices is a well-known approach in parallel and distributed systems that reduces network…

Data Structures and Algorithms · Computer Science 2016-10-25 Ali Pourmiri , Mahdi Jafari Siavoshani , Seyed Pooya Shariatpanahi

We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

This work studies queues in a Euclidean space. Consider $N$ servers that are distributed uniformly in $[0,1]^d$. Customers arrive at the servers according to independent stationary processes. Upon arrival, they probabilistically decide…

Probability · Mathematics 2024-09-05 B. R. Vinay Kumar , Lasse Leskelä

Zero queueing delay is highly desirable in large-scale computing systems. Existing work has shown that it can be asymptotically achieved by using the celebrated Power-of-$d$-choices (pod) policy with a probe overhead $d =…

Performance · Computer Science 2020-11-03 Wentao Weng , Weina Wang

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

Optimization and Control · Mathematics 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

Traditionally, research focusing on the design of routing and staffing policies for service systems has modeled servers as having fixed (possibly heterogeneous) service rates. However, service systems are generally staffed by people.…

Computer Science and Game Theory · Computer Science 2016-03-24 Ragavendran Gopalakrishnan , Sherwin Doroudi , Amy R. Ward , Adam Wierman

Suppose that a set of $m$ tasks are to be shared as equally as possible amongst a set of $n$ resources. A game-theoretic mechanism to find a suitable allocation is to associate each task with a ``selfish agent'', and require each agent to…

Computer Science and Game Theory · Computer Science 2007-05-23 Petra Berenbrink , Tom Friedetzky , Leslie Ann Goldberg , Paul Goldberg , Zengjian Hu , Russell Martin

We consider a large-scale service system where incoming tasks have to be instantaneously dispatched to one out of many parallel server pools. The user-perceived performance degrades with the number of concurrent tasks and the dispatcher…

In this paper we consider a real time queuing system with rewards and deadlines. We assume that packet processing time is known upon arrival, as is the case in communication networks. This assumption allows us to demonstrate that the well…

Performance · Computer Science 2018-08-24 Li-on Raviv , Amir Leshem

Retailers use a variety of mechanisms to enable sales and delivery. A relatively new offering by companies is curbside pickup where customers purchase goods online, schedule a pickup time, and come to a pickup facility to receive their…

Optimization and Control · Mathematics 2020-05-27 Bahar Çavdar , Tuğçe Işık

We consider a distributed cloud service deployed at a set of distinct server pools. Arriving jobs are classified into heterogeneous types, in accordance with their setup times which are differentiated at each of the pools. A dispatcher for…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Fernando Paganini , Diego Goldsztajn

Motivated by packet routing in computer networks, online queuing systems are composed of queues receiving packets at different rates. Repeatedly, they send packets to servers, each of them treating only at most one packet at a time. In the…

Machine Learning · Statistics 2021-11-05 Flore Sentenac , Etienne Boursier , Vianney Perchet
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