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Guaranteeing Response Times for Aperiodic Tasks in Global Multiprocessor Scheduling
Responsible organisation
2007 (English)In: Real-time systems, ISSN 0922-6443, E-ISSN 1573-1383, Vol. 35, no 2, 135-151 p.Article in journal (Refereed) Published
Abstract [en]

We provide a constant time schedulability test for an on-line multiprocessor server handling aperiodic tasks. Dhall's effect is avoided by dividing the tasks in two priority classes based on task utilization: heavy and light. We prove that if the load on the multiprocessor server stays below U threshold = 3 - root 7 approximately equals 35.425%, the server can accept an incoming aperiodic task and guarantee that the deadlines of all accepted tasks will be met. The same number 35.425% is also a threshold for a task to be characterized as heavy. The bound U threshold = 3 - root 7 approximately equals 35.425% is easy-to-use, but not sharp if we know the number of processors in the multiprocessor system. Assuming the server to be equipped with m processors, we calculate a formula for the sharp bound U threshold (m), which converges to U threshold from above as m -> infinity . The results are based on a utilization function u(x) = 2(1 - x)/(2 + root 2+2x). By using this function, the performance of the multiprocessor server can in some cases be improved beyond U threshold(m) by paying the extra overhead of monitoring the individual utilization of the current tasks.

Place, publisher, year, edition, pages
Dordrecht: Kluwer Academic Publishers , 2007. Vol. 35, no 2, 135-151 p.
Keyword [en]
multiprocessors, response times
National Category
Mathematical Analysis Computer Science
Identifiers
URN: urn:nbn:se:bth-8982ISI: 000242831400002Local ID: oai:bth.se:forskinfo19EA184587E0A4D2C125733E004D8593OAI: oai:DiVA.org:bth-8982DiVA: diva2:836758
Available from: 2012-09-18 Created: 2007-08-21 Last updated: 2015-06-30Bibliographically approved

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Lennerstad, HåkanLundberg, Lars
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