Characterizing Policies with Optimal Response Time Tails under Heavy-Tailed Job Sizes

Ziv Scully, Lucas Van Kreveld, Onno Boxma, Jan Pieter Dorsman, Adam Wierman

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

We consider the tail behavior of the response time distribution in an M/G/1 queue with heavy-tailed job sizes, specifically those with intermediately regularly varying tails. In this setting, the response time tail of many individual policies has been characterized, and it is known that policies such as Shortest Remaining Processing Time (SRPT) and Foreground-Background (FB) have response time tails of the same order as the job size tail, and thus such policies are tail-optimal. Our goal in this work is to move beyond individual policies and characterize the set of policies that are tail-optimal. Toward that end, we use the recently introduced SOAP framework to derive sufficient conditions on the form of prioritization used by a scheduling policy that ensure the policy is tail-optimal. These conditions are general and lead to new results for important policies that have previously resisted analysis, including the Gittins policy, which minimizes mean response time among policies that do not have access to job size information. As a by-product of our analysis, we derive a general upper bound for fractional moments of M/G/1 busy periods, which is of independent interest.

Originele taal-2Engels
TitelSIGMETRICS Performance 2020 - Abstracts of the 2020 SIGMETRICS/Performance Joint International Conference on Measurement and Modeling of Computer Systems
UitgeverijAssociation for Computing Machinery, Inc
Pagina's35-36
Aantal pagina's2
ISBN van elektronische versie9781450379854
DOI's
StatusGepubliceerd - 8 jun 2020
Evenement2020 SIGMETRICS/Performance Joint International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS 2020 - Boston, Verenigde Staten van Amerika
Duur: 8 jun 202012 jun 2020

Publicatie series

NaamPerformance Evaluation Review
UitgeverijAssociation for Computing Machinery, Inc
Nummer1
Volume48
ISSN van geprinte versie0163-5999

Congres

Congres2020 SIGMETRICS/Performance Joint International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS 2020
LandVerenigde Staten van Amerika
StadBoston
Periode8/06/2012/06/20

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  • Citeer dit

    Scully, Z., Van Kreveld, L., Boxma, O., Dorsman, J. P., & Wierman, A. (2020). Characterizing Policies with Optimal Response Time Tails under Heavy-Tailed Job Sizes. In SIGMETRICS Performance 2020 - Abstracts of the 2020 SIGMETRICS/Performance Joint International Conference on Measurement and Modeling of Computer Systems (blz. 35-36). (Performance Evaluation Review; Vol. 48, Nr. 1). Association for Computing Machinery, Inc. https://doi.org/10.1145/3393691.3394179