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Load balancing is a common approach in web server farms or inventory routing problems. An important issue in such systems is to determine the server to which an incoming request should be routed to optimize a given performance criteria. In…

Performance · Computer Science 2018-10-19 Urtzi Ayesta , Manu K Gupta , Ina Maria Verloop

There is a growing interest in development of in-network dispersed computing paradigms that leverage the computing capabilities of heterogeneous resources dispersed across the network for processing massive amount of data is collected at…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-28 Chien-Sheng Yang , Ramtin Pedarsani , A. Salman Avestimehr

This paper proposes a new class of online policies for scheduling in input-buffered crossbar switches. Our policies are throughput optimal for a large class of arrival processes which satisfy strong-law of large numbers. Given an initial…

Networking and Internet Architecture · Computer Science 2009-02-09 Gagan Raj Gupta , Sujay Sanghavi , Ness B. Shroff

We analyze randomized dynamic load balancing schemes for multi-server processor sharing systems when the number of servers in the system is large and the servers have heterogeneous service rates. In particular, we focus on the classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-11 Arpan Mukhopadhyay , Ravi R. Mazumdar

We investigate a processor sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue, or renege, before completing service. The corresponding stochastic processes are represented by…

Probability · Mathematics 2009-08-25 Christian H. Gromoll , Philippe Robert , Bert Zwart

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

An effective modeling method for nonlinear distributed parameter systems (DPSs) is critical for both physical system analysis and industrial engineering. In this Rapid Communication, we propose a novel DPS modeling approach, in which a…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Hai-Tao Zhang , Chen-Kun Qi , Tao Zhou , Han-Xiong Li

Recently, the problem of multitasking scheduling has attracted a lot of attention in the service industries where workers frequently perform multiple tasks by switching from one task to another. Hall, Leung and Li (Discrete Applied…

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

We study shared multi-processor scheduling problem where each job can be executed on its private processor and simultaneously on one of many processors shared by all jobs in order to reduce the job's completion time due to processing time…

Discrete Mathematics · Computer Science 2021-03-05 Dariusz Dereniowski , Wieslaw Kubiak

We consider a system of parallel queues where tasks are assigned (dispatched) to one of the available servers upon arrival. The dispatching decision is based on the full state information, i.e., on the sizes of the new and existing jobs. We…

Performance · Computer Science 2012-03-23 Esa Hyytiä , Samuli Aalto , Aleksi Penttinen

We present a heavy traffic analysis for a single server queue with renewal arrivals and generally distributed i.i.d. service times, in which the server employs the Shortest Remaining Processing Time (SRPT) policy. Under typical heavy…

Probability · Mathematics 2012-10-04 H. Christian Gromoll , Łukasz Kruk , Amber L. Puha

Owing to data-intensive large-scale applications, distributed computation systems have gained significant recent interest, due to their ability of running such tasks over a large number of commodity nodes in a time efficient manner. One of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-23 Mohamed A. Attia , Ravi Tandon

We discuss general models of resource-sharing computations, with emphasis on the combinatorial structures and concepts that underlie the various deadlock models that have been proposed, the design of algorithms and deadlock-handling…

Operating Systems · Computer Science 2016-09-14 V. C. Barbosa

Heterogeneity is becoming increasingly ubiquitous in modern large-scale computer systems. Developing good load balancing policies for systems whose resources have varying speeds is crucial in achieving low response times. Indeed, how best…

Performance · Computer Science 2020-06-26 Kristen Gardner , Jazeem Abdul Jaleel , Alexander Wickeham , Sherwin Doroudi

Shared autonomous electric vehicles can provide on-demand transportation for passengers while also interacting extensively with the electric distribution system. This interaction is especially beneficial after a disaster when the large…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Jake Robbennolt , Meiyi Li , Javad Mohammadi , Stephen D. Boyles

Work sharing and work stealing are two scheduling paradigms to redistribute work when performing distributed computations. In work sharing, processors attempt to migrate pending jobs to other processors in the hope of reducing response…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Benny Van Houdt

We analyze the Two Level Processor Sharing (TLPS) scheduling discipline with the hyper-exponential job size distribution and with the Poisson arrival process. TLPS is a convenient model to study the benefit of the file size based…

Networking and Internet Architecture · Computer Science 2007-06-13 Konstantin Avrachenkov , Patrick Brown , Natalia Osipova

When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

Performance · Computer Science 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

In this paper we consider neighborhood load balancing in the context of selfish clients. We assume that a network of n processors and m tasks is given. The processors may have different speeds and the tasks may have different weights. Every…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-03 C. P. J. Adolphs , P. Berenbrink

Modern computing systems process jobs with resource requirements such as CPU and memory, which are described by multiresource jobs (MRJ) queueing models. In practice, job resource requirements are spread out over so many values, that it is…

Performance · Computer Science 2026-05-22 Heyuan Yao , Willow Kowalik , Izzy Grosof