Skip to main content

Feasibility Analysis of Sporadic Real-Time Multiprocessor Task Systems

  • Conference paper
Algorithms – ESA 2010 (ESA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6347))

Included in the following conference series:

Abstract

We give the first algorithm for testing the feasibility of a system of sporadic real-time tasks on a set of identical processors, solving an open problem in the area of multiprocessor real-time scheduling [S. Baruah and K. Pruhs, Journal of Scheduling, 2009]. We also investigate the related notion of schedulability and a notion that we call online feasibility. Finally, we show that discrete-time schedules are as powerful as continuous-time schedules, which answers another open question in the above mentioned survey.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baker, T.P., Baruah, S.K.: Schedulability analysis of multiprocessor sporadic task systems. In: Son, S.H., Lee, I., Leung, J.Y.T. (eds.) Handbook of Real-Time and Embedded Systems,  ch. 3. CRC Press, Boca Raton (2007)

    Google Scholar 

  2. Baker, T.P., Cirinei, M.: Brute-force determination of multiprocessor schedulability for sets of sporadic hard-deadline tasks. In: Tovar, E., Tsigas, P., Fouchal, H. (eds.) OPODIS 2007. LNCS, vol. 4878, pp. 62–75. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Baruah, S.K., Cohen, N.K., Plaxton, C.G., Varvel, D.A.: Proportionate progress: A notion of fairness in resource allocation. Algorithmica 15(6), 600–625 (1996), http://www.springerlink.com/content/xy72c891q4pn6e0b/

    Article  MATH  MathSciNet  Google Scholar 

  4. Baruah, S.K., Goossens, J.: Scheduling real-time tasks: Algorithms and complexity. In: Leung, J.Y.T. (ed.) Handbook of Scheduling: Algorithms, Models, and Performance Analysis,  ch. 28. CRC Press, Boca Raton (2003)

    Google Scholar 

  5. Baruah, S.K., Pruhs, K.: Open problems in real-time scheduling. Journal of Scheduling (2009) doi:10.1007/s10951-009-0137-5

    Google Scholar 

  6. Baruah, S.K., Rosier, L.E., Howell, R.R.: Algorithms and complexity concerning the preemptive scheduling of periodic, real-time tasks on one processor. Real-Time Systems 2(4), 301–324 (1990)

    Article  Google Scholar 

  7. Dertouzos, M.L.: Control robotics: The procedural control of physical processes. In: Proc. IFIP Congress. pp. 807–813 (1974)

    Google Scholar 

  8. Diestel, R.: Graph theory, 3rd edn. Springer, Heidelberg (2005), http://diestel-graph-theory.com/Contents3.pdf

    MATH  Google Scholar 

  9. Eisenbrand, F., Rothvoß, T.: EDF-schedulability of synchronous periodic task systems is coNP-hard. In: Proc. 21st Symp. on Discrete Algorithms. pp. 1029–1034 (2010), http://www.siam.org/proceedings/soda/2010/SODA10_083_eisenbrandf.pdf

  10. Fisher, N., Goossens, J., Baruah, S.K.: Optimal online multiprocessor scheduling of sporadic real-time tasks is impossible. Tech. Rep. 09–009, University of North Carolina at Chapel Hill, Department of Computer Science, Chapel Hill, NC (2009)

    Google Scholar 

  11. Grädel, E., Thomas, W., Wilke, T. (eds.): Automata, Logics, and Infinite Games. LNCS, vol. 2500. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  12. Horn, W.A.: Some simple scheduling algorithms. Naval Research Logistics Quarterly 21, 177–185 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  13. Liu, C.L., Layland, J.W.: Scheduling algorithms for multiprogramming in a hard-real-time environment. Journal of the ACM 20(1), 46–61 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  14. McNaughton, R.: Infinite games played on finite graphs. Annals of Pure and Applied Logic 65(2), 149–184 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  15. Reif, J.H.: The complexity of two-player games of incomplete information. Journal of Computer and System Sciences 29(2), 274–301 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  16. Savitch, W.J.: Relationships between nondeterministic and deterministic tape complexities. Journal of Computer and Systems Sciences 4(2), 177–192 (1970)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bonifaci, V., Marchetti-Spaccamela, A. (2010). Feasibility Analysis of Sporadic Real-Time Multiprocessor Task Systems. In: de Berg, M., Meyer, U. (eds) Algorithms – ESA 2010. ESA 2010. Lecture Notes in Computer Science, vol 6347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15781-3_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-15781-3_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15780-6

  • Online ISBN: 978-3-642-15781-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics