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Scheduling under redundancy

Published: 30 August 2022 Publication History

Abstract

In the present extended abstract we investigate the impact that the scheduling policy has on the performance of redundancy systems when the usual exponentially distributed i.i.d. copies assumption is relaxed. In particular, we investigate the performance, in terms of the total number of jobs in the system, not only for redundancy-oblivious policies, such as FCFS (First-Come-First-Serve) and ROS (Random- Order-of-Service), but also for redundancy-aware policies of the form Π1-?2, where Π1 discriminates among job classes and Π2 discriminates among jobs of the same class. Examples of first-level policies are LRF (Least-Redundant-First) and MRF (Most-Redundant-First), where under LRF, respectively MRF, within a server jobs with fewer copies, respectively more copies, have priority over jobs with more copies, respectively fewer copies. Second-level policies could be FCFS or ROS.

References

[1]
E. Anton, R. Righter, and I. M. Verloop. Efficient scheduling in redundancy systems with general service times. Under submission, 2022.
[2]
E. Anton, U. Ayesta, M. Jonckheere, and I. M. Verloop. A survey of stability results for redundancy models. In Alexey B. Piunovskiy and Yi Zhang (eds.), Modern Trends in Controlled Stochastic Processes: Theory and Applications, V.III. Springer US, 2021.
[3]
Kristen Gardner, Mor Harchol-Balter, Esa Hyytia, and Rhonda Righter. Scheduling for efficiency and fairness in systems with redundancy. Performance Evaluation, 116: 1--25, 2017.
[4]
Kristen Gardner, Esa Hyyti¨a, and Rhonda Righter. A little redundancy goes a long way: Convexity in redundancy systems. Performance Evaluation, 131(4): 22--42, 2019.
[5]
Yusik Kim, Rhonda Righter, and Ronald Wolff. Job replication on multiserver systems. Advances in Applied Probability, 41: 546--575, 2009.
[6]
Ger Koole and Rhonda Righter. Resource allocation in grid computing. Journal of Scheduling, 11: 163--173, 2008.

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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 50, Issue 2
September 2022
50 pages
ISSN:0163-5999
DOI:10.1145/3561074
Issue’s Table of Contents
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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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 30 August 2022
Published in SIGMETRICS Volume 50, Issue 2

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