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SRPT for Multiserver Systems

Authors:

Isaac Grosof,

Ziv Scully,

Mor Harchol-BalterAuthors Info & Claims

ACM SIGMETRICS Performance Evaluation Review, Volume 46, Issue 3

Pages 8 - 9

https://doi.org/10.1145/3308897.3308902

Published: 25 January 2019 Publication History

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Abstract

The Shortest Remaining Processing Time (SRPT) scheduling policy and its variants have been extensively studied in both theoretical and practical settings. While beautiful results are known for single-server SRPT, much less is known for multiserver SRPT. In particular, stochastic analysis of the M/G/k under SRPT is entirely open. Intuition suggests that multiserver SRPT should be optimal or near-optimal for minimizing mean response time. However, the only known analysis of multiserver SRPT is in the worst-case adversarial setting, where SRPT can be far from optimal. In this paper, we give the first stochastic analysis bounding mean response time of the M/G/k under SRPT. Using our response time bound, we show that multiserver SRPT has asymptotically optimal mean response time in the heavy-traffic limit. The key to our bounds is a strategic combination of stochastic and worst-case techniques. Beyond SRPT, we prove similar response time bounds and optimality results for several other multiserver scheduling policies. This article is an introduction to our longer paper, [1].

References

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Saikhu ASoelaiman RYendri SWahyuddin S(2023)Response Time Prediction of M/M/1SRPT Queuing System Using Simulation Modeling and Artificial Intelligence2023 Eighth International Conference on Informatics and Computing (ICIC)10.1109/ICIC60109.2023.10381919(1-5)Online publication date: 8-Dec-2023
https://doi.org/10.1109/ICIC60109.2023.10381919
Davydow ANikolenko SDemianiuk VChuprikov PKogan K(2021)SRPT-based Congestion Control for Flows with Unknown Sizes2021 IFIP Networking Conference (IFIP Networking)10.23919/IFIPNetworking52078.2021.9472780(1-9)Online publication date: 21-Jun-2021
https://doi.org/10.23919/IFIPNetworking52078.2021.9472780
Grosof IScully ZHarchol-Balter M(2019)SRPT for Multiserver SystemsACM SIGMETRICS Performance Evaluation Review10.1145/3308897.330890246:3(8-9)Online publication date: 25-Jan-2019
https://dl.acm.org/doi/10.1145/3308897.3308902

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cover image ACM SIGMETRICS Performance Evaluation Review

ACM SIGMETRICS Performance Evaluation Review Volume 46, Issue 3

December 2018

174 pages

ISSN:0163-5999

DOI:10.1145/3308897

Editor:
Nidhi Hegde
Borealis AI

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Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Published: 25 January 2019

Published in SIGMETRICS Volume 46, Issue 3

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Saikhu ASoelaiman RYendri SWahyuddin S(2023)Response Time Prediction of M/M/1SRPT Queuing System Using Simulation Modeling and Artificial Intelligence2023 Eighth International Conference on Informatics and Computing (ICIC)10.1109/ICIC60109.2023.10381919(1-5)Online publication date: 8-Dec-2023
https://doi.org/10.1109/ICIC60109.2023.10381919
Davydow ANikolenko SDemianiuk VChuprikov PKogan K(2021)SRPT-based Congestion Control for Flows with Unknown Sizes2021 IFIP Networking Conference (IFIP Networking)10.23919/IFIPNetworking52078.2021.9472780(1-9)Online publication date: 21-Jun-2021
https://doi.org/10.23919/IFIPNetworking52078.2021.9472780
Grosof IScully ZHarchol-Balter M(2019)SRPT for Multiserver SystemsACM SIGMETRICS Performance Evaluation Review10.1145/3308897.330890246:3(8-9)Online publication date: 25-Jan-2019
https://dl.acm.org/doi/10.1145/3308897.3308902

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WCFS: a new framework for analyzing multiserver systems

Multiclass multiserver queueing system in the Halfin---Whitt heavy traffic regime: asymptotics of the stationary distribution

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WCFS: a new framework for analyzing multiserver systems

Multiclass multiserver queueing system in the Halfin---Whitt heavy traffic regime: asymptotics of the stationary distribution

Real-Time Delay Estimation in Overloaded Multiserver Queues with Abandonments

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