Cited By
View all- Gardner KRighter R(2020)Product forms for FCFS queueing models with arbitrary server-job compatibilities: an overviewQueueing Systems: Theory and Applications10.1007/s11134-020-09668-696:1-2(3-51)Online publication date: 1-Oct-2020
Achievable Stability in Redundancy Systems
Pages 27 - 28
Abstract
We investigate the achievable stability region for redundancy systems and a quite general workload model with different job types and heterogeneous servers, reflecting job-server affinity relations which may arise from data locality issues and soft compatibility constraints. Under the assumption that job types are known beforehand we establish for New-Better-than-Used (NBU) distributed speed variations that no replication gives a strictly larger stability region than replication. Strikingly, this does not depend on the underlying distribution of the intrinsic job sizes, but observing the job types is essential for this statement to hold. In case of non-observable job types we show that for New-Worse-than-Used (NWU) distributed speed variations full replication gives a larger stability region than no replication.
Supplementary Material
In this talk, we investigate the achievable stability region for redundancy systems and a quite general workload model with different job types and heterogeneous servers, reflecting job-server affinity relations which may arise from data locality issues and soft compatibility constraints. Under the assumption that job types are known beforehand we establish for New-Better-than-Used (NBU) distributed speed variations that no replication gives a strictly larger stability region than replication. Strikingly, this does not depend on the underlying distribution of the intrinsic job sizes, but observing the job types is essential for this statement to hold. In case of non-observable job types we show that for New-Worse-than-Used (NWU) distributed speed variations full replication gives a larger stability region than no replication.
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References
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E. Anton, U. Ayesta, M. Jonckheere, and I.M. Verloop. 2021. A survey of stability results for redundancy systems. ArXiv 2103.10942 (2021).
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- Achievable Stability in Redundancy Systems
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Published In
May 2021
97 pages
ISBN:9781450380720
DOI:10.1145/3410220
- General Chair:
- Longbo Huang,
- Program Chairs:
- Anshul Gandhi,
- Negar Kiyavash,
- Jia Wang
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Published: 06 June 2021
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SIGMETRICS '21
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SIGMETRICS '21: ACM SIGMETRICS / International Conference on Measurement and Modeling of Computer Systems
June 14 - 18, 2021
Virtual Event, China
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View all- Gardner KRighter R(2020)Product forms for FCFS queueing models with arbitrary server-job compatibilities: an overviewQueueing Systems: Theory and Applications10.1007/s11134-020-09668-696:1-2(3-51)Online publication date: 1-Oct-2020
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