article

A survey on discriminatory processor sharing

Authors:

Konstantin Avrachenkov,

Urtzi AyestaAuthors Info & Claims

Queueing Systems: Theory and Applications, Volume 53, Issue 1-2

Pages 53 - 63

https://doi.org/10.1007/s11134-006-7586-8

Published: 01 June 2006 Publication History

Abstract

The Discriminatory Processor Sharing (DPS) model is a multi-class generalization of the egalitarian Processor Sharing model. In the DPS model all jobs present in the system are served simultaneously at rates controlled by a vector of weights { g _k > 0; k = 1,..., K }. If there are N _k jobs of class k present in the system, k = 1,..., K , each class- k job is served at rate $$g_k/\sum_{j=1}^K{g_j}{N_j}$$ . The present article provides an overview of the analytical results for the DPS model. In particular, we focus on response times and numbers of jobs in the system.

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Cited By

Fiems D(2023)Strategic Revenue Management for Discriminatory Processor Sharing QueuesComputer Performance Engineering and Stochastic Modelling10.1007/978-3-031-43185-2_1(3-17)Online publication date: 20-Jun-2023
https://dl.acm.org/doi/10.1007/978-3-031-43185-2_1
Walraevens JVan Giel TDe Vuyst SWittevrongel S(2022)Asymptotics of waiting time distributions in the accumulating priority queueQueueing Systems: Theory and Applications10.1007/s11134-022-09839-7101:3-4(221-244)Online publication date: 1-Aug-2022
https://dl.acm.org/doi/10.1007/s11134-022-09839-7
Dudin ADudin SDudina OKim C(2022)Analysis of Retrial Queuing System with Limited Processor Sharing Discipline and Changing Effective BandwidthDistributed Computer and Communication Networks: Control, Computation, Communications10.1007/978-3-031-23207-7_19(243-256)Online publication date: 26-Sep-2022
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Index Terms

A survey on discriminatory processor sharing

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Published In

cover image Queueing Systems: Theory and Applications

Queueing Systems: Theory and Applications Volume 53, Issue 1-2

June 2006

92 pages

ISSN:0257-0130

Issue’s Table of Contents

Copyright © Copyright © 2006 Springer Science + Business Media, LLC.

Publisher

J. C. Baltzer AG, Science Publishers

United States

Publication History

Published: 01 June 2006

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Cited By

Fiems D(2023)Strategic Revenue Management for Discriminatory Processor Sharing QueuesComputer Performance Engineering and Stochastic Modelling10.1007/978-3-031-43185-2_1(3-17)Online publication date: 20-Jun-2023
https://dl.acm.org/doi/10.1007/978-3-031-43185-2_1
Walraevens JVan Giel TDe Vuyst SWittevrongel S(2022)Asymptotics of waiting time distributions in the accumulating priority queueQueueing Systems: Theory and Applications10.1007/s11134-022-09839-7101:3-4(221-244)Online publication date: 1-Aug-2022
https://dl.acm.org/doi/10.1007/s11134-022-09839-7
Dudin ADudin SDudina OKim C(2022)Analysis of Retrial Queuing System with Limited Processor Sharing Discipline and Changing Effective BandwidthDistributed Computer and Communication Networks: Control, Computation, Communications10.1007/978-3-031-23207-7_19(243-256)Online publication date: 26-Sep-2022
https://dl.acm.org/doi/10.1007/978-3-031-23207-7_19
Scully Zvan Kreveld LBoxma ODorsman JWierman A(2020)Characterizing Policies with Optimal Response Time Tails under Heavy-Tailed Job SizesProceedings of the ACM on Measurement and Analysis of Computing Systems10.1145/33921484:2(1-33)Online publication date: 12-Jun-2020
https://dl.acm.org/doi/10.1145/3392148
Marin ARossi SSottana M(2020)Dynamic Resource Allocation in Fork-Join QueuesACM Transactions on Modeling and Performance Evaluation of Computing Systems10.1145/33723765:1(1-28)Online publication date: 4-Feb-2020
https://dl.acm.org/doi/10.1145/3372376
Sacoto-Cabrera ESanchis-Cano AGuijarro LVidal JPla VMarsa-Maestre I(2018)Strategic Interaction between Operators in the Context of Spectrum Sharing for 5G NetworksWireless Communications & Mobile Computing10.1155/2018/43089132018Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.1155/2018/4308913
Avrachenkov KBodas T(2018)On the equivalence between multiclass processor sharing and random order scheduling policiesACM SIGMETRICS Performance Evaluation Review10.1145/3273996.327399845:4(2-6)Online publication date: 28-Aug-2018
https://dl.acm.org/doi/10.1145/3273996.3273998
Cui LTezcan T(2016)Approximations for Chat Service Systems Using Many-Server Diffusion LimitsMathematics of Operations Research10.1287/moor.2015.075441:3(775-807)Online publication date: 1-Aug-2016
https://dl.acm.org/doi/10.1287/moor.2015.0754
Izagirre AAyesta UVerloop I(2016)Sojourn Time Approximations for a Discriminatory Processor Sharing QueueACM Transactions on Modeling and Performance Evaluation of Computing Systems10.1145/28128071:1(1-31)Online publication date: 22-Feb-2016
https://dl.acm.org/doi/10.1145/2812807
Thorsdottir HVerloop I(2016)Markov-modulated M/G/1-type queue in heavy traffic and its application to time-sharing disciplinesQueueing Systems: Theory and Applications10.1007/s11134-016-9477-y83:1-2(29-55)Online publication date: 1-Jun-2016
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