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Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

Optimization and Control · Mathematics 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

The service rate region (SRR) has emerged as a critical performance metric for distributed systems that store data redundantly. It measures the system's ability to serve multiple users concurrently. Mathematically, the SRR is a polytope in…

Information Theory · Computer Science 2025-12-12 Hoang Ly , Emina Soljanin

Kernel design for Multi-output Gaussian Processes (MOGP) has received increased attention recently. In particular, the Multi-Output Spectral Mixture kernel (MOSM) arXiv:1709.01298 approach has been praised as a general model in the sense…

Machine Learning · Statistics 2022-02-21 Matías Altamirano , Felipe Tobar

We present a number of novel algorithms, based on mathematical optimization formulations, in order to solve a homogeneous multiprocessor scheduling problem, while minimizing the total energy consumption. In particular, for a system with a…

Operating Systems · Computer Science 2015-11-13 Mason Thammawichai , Eric C. Kerrigan

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

Probability · Mathematics 2009-12-15 N. S. Walton

Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Essentially all of the theoretical work on multiserver-job systems focuses on maximizing utilization, with almost nothing known about…

Performance · Computer Science 2022-11-08 Isaac Grosof , Ziv Scully , Mor Harchol-Balter , Alan Scheller-Wolf

We introduce the appropriate framework for pathwise comparison of multiple server queues under general stationary ergodic assumptions. We show in what sense it is better to have more servers for a system under FCFS ('First Come, First…

Probability · Mathematics 2015-12-16 Pascal Moyal

In this paper, we consider the problem of quantifying systemic redundancy in reliable systems having multiple controllers with overlapping functionality. In particular, we consider a multi-channel system with multi-controller configurations…

Dynamical Systems · Mathematics 2015-02-17 Getachew K. Befekadu , Panos J. Antsaklis

A large proportion of jobs submitted to modern computing clusters and data centers are parallelizable and capable of running on a flexible number of computing cores or servers. Although allocating more servers to such a job results in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-17 Samira Ghanbarian , Arpan Mukhopadhyay , Ravi R. Mazumdar , Fabrice M. Guillemin

The article studies query evaluation in parallel constant time in the CRCW PRAM model. While it is well-known that all relational algebra queries can be evaluated in constant time on an appropriate CRCW PRAM model, this article is…

Databases · Computer Science 2026-05-14 Jens Keppeler , Thomas Schwentick , Christopher Spinrath

We consider the weighted completion time minimization problem for capacitated parallel machines, which is a fundamental problem in modern cloud computing environments. We study settings in which the processed jobs may have varying duration,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-28 Ilan Reuven Cohen , Izack Cohen , Iyar Zaks

In this paper, we design the first streaming algorithms for the problem of multitasking scheduling on parallel machines with shared processing. In one pass, our streaming approximation schemes can provide an approximate value of the optimal…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

This paper considers the scheduling of stochastic jobs on parallel identical machines to minimize the expected total weighted completion time. While this is a classical problem with a significant body of research on approximation algorithms…

Data Structures and Algorithms · Computer Science 2026-01-27 Benjamin Moseley , Kirk Pruhs , Marc Uetz , Rudy Zhou

The latest trends in high-performance computing systems show an increasing demand on the use of a large scale multicore systems in a efficient way, so that high compute-intensive applications can be executed reasonably well. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-25 Juliana M. N. Silva , Cristina Boeres , Lúcia M. A. Drummond , Artur A. Pessoa

Quantum computing has gained considerable attention, especially after the arrival of the Noisy Intermediate-Scale Quantum (NISQ) era. Quantum processors and cloud services have been made world-wide increasingly available. Unfortunately,…

Hardware Architecture · Computer Science 2025-05-05 Wenjie Wu , Yiquan Wang , Ge Yan , Yuming Zhao , Bo Zhang , Junchi Yan

In many-server systems it is crucial to staff the right number of servers so that targeted service levels are met. These staffing problems typically lead to constraint satisfaction problems that are hard to solve. During the last decade, a…

Probability · Mathematics 2014-01-30 A. J. E. M. Janssen , Johan S. H. van Leeuwaarden

The assessment of a job's Quality of Service (QoS) often revolves around its flow time, also referred to as response time. This study delves into two fundamental objectives for scheduling jobs: the average flow time and the maximum flow…

Data Structures and Algorithms · Computer Science 2025-05-02 Tung-Wei Kuo

For a cloud service provider, delivering optimal system performance while fulfilling Quality of Service (QoS) obligations is critical for maintaining a viably profitable business. This goal is often hard to attain given the irregular nature…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-14 Husam Suleiman , Otman Basir

Understanding the performance of a pool of servers is crucial for proper dimensioning. One of the main challenges is to take into account the complex interactions between servers that are pooled to process jobs. In particular, a job can…

Networking and Internet Architecture · Computer Science 2019-10-03 Thomas Bonald , Céline Comte , Fabien Mathieu

As machine learning techniques are applied to a widening range of applications, high throughput machine learning (ML) inference servers have become critical for online service applications. Such ML inference servers pose two challenges:…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Seungbeom Choi , Sunho Lee , Yeonjae Kim , Jongse Park , Youngjin Kwon , Jaehyuk Huh