Skip to main content

Partial Evaluation of PEPA Models for Fluid-Flow Analysis

  • Conference paper
Computer Performance Engineering (EPEW 2008)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5261))

Included in the following conference series:

Abstract

We present an application of partial evaluation to performance models expressed in the PEPA stochastic process algebra [1]. We partially evaluate the state-space of a PEPA model in order to remove uses of the cooperation and hiding operators and compile an arbitrary sub-model into a single sequential component. This transformation is applied to PEPA models which are not in the correct form for the application of the fluid-flow analysis for PEPA [2]. The result of the transformation is a PEPA model which is amenable to fluid-flow analysis but which is strongly equivalent [1] to the input PEPA model and so, by an application of Hillston’s theorem, performance results computed from one model are valid for the other. We apply the method to a Markovian model of a key distribution centre used to facilitate secure distribution of cryptographic session keys between remote principals communicating over an insecure network.

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. Hillston, J.: A Compositional Approach to Performance Modelling. Cambridge University Press, Cambridge (1996)

    Google Scholar 

  2. Hillston, J.: Fluid flow approximation of PEPA models. In: Proceedings of the Second International Conference on the Quantitative Evaluation of Systems, Torino, Italy, September 2005, pp. 33–43. IEEE Computer Society Press, Los Alamitos (2005)

    Chapter  Google Scholar 

  3. Lowe, G.: An attack on the Needham-Schroeder public key authentication protocol. Information Processing Letters 56(3), 131–136 (1995)

    Article  MATH  Google Scholar 

  4. Needham, R., Schroeder, M.: Using encryption for authentication in large networks of computers. Communications of the ACM 21(12), 993–999 (1978)

    Article  MATH  Google Scholar 

  5. Burrows, M., Abadi, M., Needham, R.M.: A logic of authentication. ACM Transactions on Computing Systems 8(1), 18–36 (1990)

    Article  Google Scholar 

  6. Zhao, Y., Thomas, N.: Approximate solution of a PEPA model of a key distribution centre. In: Kounev, S., Gorton, I., Sachs, K. (eds.) SIPEW 2008. LNCS, vol. 5119, pp. 44–57. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Zhao, Y., Thomas, N.: Fluid flow analysis of a model of a secure key distribution centre. In: Argent-Katwala, A., Dingle, N.J., Harder, U. (eds.) Proceedings of the 24th UK Performance Engineering Workshop, July 2008, pp. 160–171. Imperial College London (2008)

    Google Scholar 

  8. Tribastone, M.: The PEPA Plug-in Project. In: Harchol-Balter, M., Kwiatkowska, M., Telek, M. (eds.) Proceedings of the 4th International Conference on the Quantitative Evaluation of SysTems (QEST), September 2007, pp. 53–54. IEEE, Los Alamitos (2007)

    Google Scholar 

  9. Clark, A.: The ipclib PEPA Library. In: Harchol-Balter, M., Kwiatkowska, M., Telek, M. (eds.) Proceedings of the 4th International Conference on the Quantitative Evaluation of SysTems (QEST), September 2007, pp. 55–56. IEEE, Los Alamitos (2007)

    Chapter  Google Scholar 

  10. Kwiatkowska, M., Mehmood, R., Norman, G., Parker, D.: A symbolic out-of-core solution method for Markov models. In: Proc. Workshop on Parallel and Distributed Model Checking (PDMC 2002). Electronic Notes in Theoretical Computer Science, vol. 68.4. Elsevier, Amsterdam (2002)

    Google Scholar 

  11. Knottenbelt, W.J., Harrison, P.G.: Distributed disk-based solution techniques for large Markov models. In: Proc. 3rd International Workshop on the Numerical Solution of Markov Chains (NSMC 1999), Zaragoza, Spain, September 1999, pp. 58–75 (1999)

    Google Scholar 

  12. Gilmore, S., Hillston, J., Ribaudo, M.: An efficient algorithm for aggregating PEPA models. IEEE Transactions on Software Engineering 27(5), 449–464 (2001)

    Article  Google Scholar 

  13. Argent-Katwala, A., Bradley, J., Clark, A., Gilmore, S.: Location-aware quality of service measurements for service-level agreements. In: Barthe, G., Fournet, C. (eds.) TGC 2007. LNCS, vol. 4912, pp. 222–239. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Nigel Thomas Carlos Juiz

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Clark, A., Duguid, A., Gilmore, S., Tribastone, M. (2008). Partial Evaluation of PEPA Models for Fluid-Flow Analysis. In: Thomas, N., Juiz, C. (eds) Computer Performance Engineering. EPEW 2008. Lecture Notes in Computer Science, vol 5261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87412-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87412-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87411-9

  • Online ISBN: 978-3-540-87412-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics