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.
|Title of host publication||SIGMETRICS 2021 - Abstract Proceedings of the 2021 ACM SIGMETRICS / International Conference on Measurement and Modeling of Computer Systems|
|Publisher||Association for Computing Machinery, Inc|
|Number of pages||2|
|Publication status||Published - 31 May 2021|
|Event||2021 ACM SIGMETRICS / International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS 2021 - Virtual. Online, China|
Duration: 14 Jun 2021 → 18 Jun 2021
|Conference||2021 ACM SIGMETRICS / International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS 2021|
|Period||14/06/21 → 18/06/21|
Bibliographical notePublisher Copyright:
© 2021 Owner/Author.
- parallel-server system