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Towards Certifying Network Calculus

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7998))

Abstract

Network Calculus (NC) [5] is an established theory for determining bounds on message delays and for dimensioning buffers in the design of networks for embedded systems. It is supported by academic and industrial tool sets and has been widely used, including for the design and certification of the Airbus A380 AFDX backbone [1,3,4]. However, while the theory of NC is generally well understood, results produced by existing tools have to be trusted: some algorithms require subtle reasoning in order to ensure their applicability, and implementation errors could result in faulty network design, with unpredictable consequences.

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References

  1. AEEC. Arinc 664p7-1 aircraft data network, part 7, avionics full-duplex switched ethernet network. Technical report, Airlines Electronic Engineering Committee (September 2009)

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  2. Boyer, M., Navet, N., Olive, X., Thierry, E.: The PEGASE project: Precise and scalable temporal analysis for aerospace communication systems with network calculus. In: Margaria, T., Steffen, B. (eds.) ISoLA 2010, Part I. LNCS, vol. 6415, pp. 122–136. Springer, Heidelberg (2010), http://www.realtimeatwork.com/software/rtaw-pegase/

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  3. Frances, F., Fraboul, C., Grieu, J.: Using network calculus to optimize AFDX network. In: Proc. 3thd Europ. Cong. Embedded Real Time Software (ERTS 2006), Toulouse (January 2006)

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  4. Grieu, J.: Analyse et évaluation de techniques de commutation Ethernet pour l’interconnexion des systèmes avioniques. PhD thesis, Institut National Polytechnique de Toulouse (INPT), Toulouse (June 2004)

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  5. Le Boudec, J.-Y., Thiran, P.: Network Calculus. LNCS, vol. 2050. Springer, Heidelberg (2001)

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  6. Nipkow, T., Paulson, L.C., Wenzel, M.: Isabelle/HOL. LNCS, vol. 2283. Springer, Heidelberg (2002)

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© 2013 Springer-Verlag Berlin Heidelberg

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Mabille, E., Boyer, M., Fejoz, L., Merz, S. (2013). Towards Certifying Network Calculus. In: Blazy, S., Paulin-Mohring, C., Pichardie, D. (eds) Interactive Theorem Proving. ITP 2013. Lecture Notes in Computer Science, vol 7998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39634-2_37

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  • DOI: https://doi.org/10.1007/978-3-642-39634-2_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39633-5

  • Online ISBN: 978-3-642-39634-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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