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- Title
Correlation in redundancy systems.
- Authors
Gardner, Kristen
- Abstract
Jobs arrive to the system according to a Poisson process with rate HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>k</mi><mi> </mi></mrow></math> ht . Within the HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>S</mi><mo>&</mo><mi>X</mi></mrow></math> ht model, policies such as redundant-to-idle-queue (RIQ) [[7]] and delta-probe [[14]] have been developed. Later models building upon the HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>S</mi><mo>&</mo><mi>X</mi></mrow></math> ht model offer more general correlation structures. However, none of these scheduling policies are optimal with respect to mean response time: the least redundant first policy minimizes mean response time, assuming exponential service times, in systems with a nested structure [[6]].
- Subjects
QUEUING theory; COMPUTER workstation clusters; POISSON processes
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p197
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09829-9