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Queueing networks are systems of theoretical interest that find widespread use in the performance evaluation of interconnected resources. In comparison to counterpart models in genetics or mathematical biology, the stochastic (jump)…

Methodology · Statistics 2019-06-28 Iker Perez , Giuliano Casale

We develop a robust queueing network analyzer algorithm to approximate the steady-state performance of a single-class open queueing network of single-server queues with Markovian routing. The algorithm allows non-renewal external arrival…

Probability · Mathematics 2020-03-26 Ward Whitt , Wei You

We consider a system of processor-sharing queues with state-dependent service rates. These are allocated according to balanced fairness within a polymatroid capacity set. Balanced fairness is known to be both insensitive and…

Performance · Computer Science 2019-10-25 Thomas Bonald , Céline Comte , Virag Shah , Gustavo de Veciana

In this paper we study the power-performance relationship of power-efficient computing from a queuing theoretic perspective. We investigate the interplay of several system operations including processing speed, system on/off decisions, and…

Performance · Computer Science 2013-03-08 Yanpei Liu , Stark C. Draper , Nam Sung Kim

This paper considers a GI/GI/1 processor sharing queue in which jobs have soft deadlines. At each point in time, the collection of residual service times and deadlines is modeled using a random counting measure on the right half-plane. The…

Probability · Mathematics 2009-09-29 H. Christian Gromoll , Łukasz Kruk

We represent a computer cluster as a multi-server queue with some arbitrary bipartite graph of compatibilities between jobs and servers. Each server processes its jobs sequentially in FCFS order. The service rate of a job at any given time…

Performance · Computer Science 2017-09-19 Thomas Bonald , Céline Comte

For a single server system, Shortest Remaining Processing Time (SRPT) is an optimal size-based policy. In this paper, we discuss scheduling a single-server system when exact information about the jobs' processing times is not available.…

Other Computer Science · Computer Science 2023-01-24 Maryam Akbari-Moghaddam , Douglas G. Down

In this paper we analyze an $M/M/1$ queueing system with an arbitrary number of customer classes, with class-dependent exponential service rates and preemptive priorities between classes. The queuing system can be described by a…

Probability · Mathematics 2015-11-13 Andrei Sleptchenko , Jori Selen , Ivo Adan , Geert-Jan van Houtum

Estimation of the service time distribution in the discrete-time $GI/G/\infty$-queue based solely on information on the arrival and departure processes is considered. The focus is put on the estimation approach via the so called "sequence…

Statistics Theory · Mathematics 2014-09-19 Sebastian Schweer , Cornelia Wichelhaus

With the increasing importance of distributed scientific workflows, there is a critical need to ensure Quality of Service (QoS) constraints, such as minimizing time or limiting execution to resource subsets. However, the unpredictable…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-02 Md Hasanur Rashid , Jesun Firoz , Nathan R. Tallent , Luanzheng Guo , Meng Tang , Dong Dai

A current trend in networking and cloud computing is to provide compute resources at widely dispersed places; this is exemplified by developments such as Network Function Virtualisation. This paves the way for wide-area service deployments…

Networking and Internet Architecture · Computer Science 2016-08-31 Matthias Keller , Holger Karl

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

We consider the problem of simultaneous scheduling and resource allocation of an incoming flow of requests to a set of computing units. By representing each computing unit as a node, we model the overall system as a multi-queue scheme.…

Systems and Control · Electrical Eng. & Systems 2021-09-07 Eleftherios Vlahakis , Nikolaos Athanasopoulos , Sean McLoone

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

Today's data centers face extreme challenges in providing low latency. However, fair sharing, a principle commonly adopted in current congestion control protocols, is far from optimal for satisfying latency requirements. We propose…

Networking and Internet Architecture · Computer Science 2012-06-13 Chi-Yao Hong , Matthew Caesar , P. Brighten Godfrey

To keep pace with Moore's law, chip designers have focused on increasing the number of cores per chip rather than single core performance. In turn, modern jobs are often designed to run on any number of cores. However, to effectively…

Performance · Computer Science 2017-11-02 Benjamin Berg , Jan-Pieter Dorsman , Mor Harchol-Balter

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li

In this paper, we use a machine learning approach to predict the stationary distributions of the number of customers in a single-staiton multi server system. We consider two systems, the first is $c$ homogeneous servers, namely the…

Performance · Computer Science 2025-04-03 Eliran Sherzer

In the real world a graph is often fragmented and distributed across different sites. This highlights the need for evaluating queries on distributed graphs. This paper proposes distributed evaluation algorithms for three classes of queries:…

Databases · Computer Science 2012-08-02 Wenfei Fan , Xin Wang , Yinghui Wu

We develop a fluid-flow model for routing problems, where fluid consists of different size particles and the task is to route the incoming fluid to $n$ parallel servers using the size information in order to minimize the mean latency. The…

Performance · Computer Science 2025-09-29 Runhan Xie , Esa Hyytiä , Rhonda Righter