License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ECRTS.2018.11
URN: urn:nbn:de:0030-drops-89925
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Agrawal, Kunal ; Baruah, Sanjoy

Intractability Issues in Mixed-Criticality Scheduling

LIPIcs-ECRTS-2018-11.pdf (0.6 MB)


In seeking to develop mixed-criticality scheduling algorithms, one encounters challenges arising from two sources. First, mixed-criticality scheduling is an inherently an on-line problem in that scheduling decisions must be made without access to all the information that is needed to make such decisions optimally - such information is only revealed over time. Second, many fundamental mixed-criticality schedulability analysis problems are computationally intractable - NP-hard in the strong sense - but we desire to solve these problems using algorithms with polynomial or pseudo-polynomial running time. While these two aspects of intractability are traditionally studied separately in the theoretical computer science literature, they have been considered in an integrated fashion in mixed-criticality scheduling theory. In this work we seek to separate out the effects of being inherently on-line, and being computationally intractable, on the overall intractability of mixed-criticality scheduling problems. Speedup factor is widely used as quantitative metric of the effectiveness of mixed-criticality scheduling algorithms; there has recently been a bit of a debate regarding the appropriateness of doing so. We provide here some additional perspective on this matter: we seek to better understand its appropriateness as well as its limitations in this regard by examining separately how the on-line nature of some mixed-criticality problems, and their computational complexity, contribute to the speedup factors of two widely-studied mixed-criticality scheduling algorithms.

BibTeX - Entry

  author =	{Kunal Agrawal and Sanjoy Baruah},
  title =	{{Intractability Issues in Mixed-Criticality Scheduling}},
  booktitle =	{30th Euromicro Conference on Real-Time Systems (ECRTS 2018)},
  pages =	{11:1--11:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-075-0},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{106},
  editor =	{Sebastian Altmeyer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-89925},
  doi =		{10.4230/LIPIcs.ECRTS.2018.11},
  annote =	{Keywords: mixed-criticality scheduling, speedup factor, competitive ratio, approximation ratio, NP-completeness results, sporadic tasks}

Keywords: mixed-criticality scheduling, speedup factor, competitive ratio, approximation ratio, NP-completeness results, sporadic tasks
Collection: 30th Euromicro Conference on Real-Time Systems (ECRTS 2018)
Issue Date: 2018
Date of publication: 22.06.2018

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