Skip to main content

Modelling Probabilistic Wireless Networks

(Extended Abstract)

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNPSE,volume 7273)

Abstract

We propose a process calculus to model distributed wireless networks. The calculus focuses on high-level behaviour, emphasising local broadcast communication and probabilistic behaviour.

Our formulation of such systems emphasises their interfaces, through which their behaviour can be observed and tested, although this complicates their contextual analysis. Nevertheless we propose a novel operator with which networks can be decomposed into components. Using this operator we define probabilistic generalisations of the well-known may-testing and must-testing preorders.

We define an extensional probabilistic labelled transition system in which actions represent particular interactions networks support via their interfaces. We show that novel variations on probabilistic simulations support compositional reasoning for these networks which are sound with respect to the testing preorders. Finally, and rather surprisingly, we show that these simulations turn out not to be complete.

Keywords

  • Wireless Network
  • Composition Operator
  • Wireless System
  • Medium Access Control Protocol
  • Probabilistic Simulation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Cerone, A., Hennessy, M.: A simple probabilistic broadcast language. Technical Report, Trinity College Dublin, CS-TR-2012-02 (2012), http://www.scss.tcd.ie/~ceronea/works/simpleProbabilisticNetworks.pdf

  2. Curran, E., Dowling, J.: Sample: Statistical network link modelling in an on-demand probabilistic routing protocol for ad hoc networks. In: WONS, pp. 200–205. IEEE Computer Society (2005)

    Google Scholar 

  3. Deng, Y., van Glabbeek, R., Hennessy, M., Morgan, C.: Testing Finitary Probabilistic Processes. In: Bravetti, M., Zavattaro, G. (eds.) CONCUR 2009. LNCS, vol. 5710, pp. 274–288. Springer, Heidelberg (2009), http://www.scss.tcd.ie/Matthew.Hennessy/onlinepubs.html

    CrossRef  Google Scholar 

  4. Ene, C., Muntean, T.: Testing theories for broadcasting processes. Sci. Ann. Cuza Univ. 11, 214–230 (2002)

    MathSciNet  MATH  Google Scholar 

  5. Ghassemi, F., Fokkink, W., Movaghar, A.: Verification of mobile ad hoc networks: An algebraic approach. Theor. Comput. Sci. 412(28), 3262–3282 (2011)

    MathSciNet  MATH  CrossRef  Google Scholar 

  6. Godskesen, J.C.: Observables for Mobile and Wireless Broadcasting Systems. In: Clarke, D., Agha, G. (eds.) COORDINATION 2010. LNCS, vol. 6116, pp. 1–15. Springer, Heidelberg (2010)

    CrossRef  Google Scholar 

  7. Jurdak, R., Lopes, C.V., Baldi, P.: A survey, classification and comparative analysis of medium access control protocols for ad hoc networks. IEEE Communications Surveys and Tutorials 6(1-4), 2–16 (2004)

    CrossRef  Google Scholar 

  8. Lanese, I., Sangiorgi, D.: An operational semantics for a calculus for wireless systems. Theor. Comput. Sci. 411(19), 1928–1948 (2010)

    MathSciNet  MATH  CrossRef  Google Scholar 

  9. Lanotte, R., Merro, M.: Semantic Analysis of Gossip Protocols for Wireless Sensor Networks. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011 – Concurrency Theory. LNCS, vol. 6901, pp. 156–170. Springer, Heidelberg (2011)

    CrossRef  Google Scholar 

  10. Merro, M., Sibilio, E.: A Timed Calculus for Wireless Systems. In: Arbab, F., Sirjani, M. (eds.) FSEN 2009. LNCS, vol. 5961, pp. 228–243. Springer, Heidelberg (2010)

    CrossRef  Google Scholar 

  11. Mezzetti, N., Sangiorgi, D.: Towards a calculus for wireless systems. Electr. Notes Theor. Comput. Sci. 158, 331–353 (2006)

    CrossRef  Google Scholar 

  12. Milner, R.: A Calculus of Communication Systems. LNCS, vol. 92. Springer, Heidelberg (1980)

    CrossRef  Google Scholar 

  13. Nanz, S., Hankin, C.: Static analysis of routing protocols for ad-hoc networks, March 25 (2004)

    Google Scholar 

  14. Nanz, S., Hankin, C.: A framework for security analysis of mobile wireless networks. TCS: Theoretical Computer Science 367 (2006)

    Google Scholar 

  15. Prasad, K.V.S.: A calculus of broadcasting systems. Science of Computer Programming 25(2-3), 285–327 (1995)

    MathSciNet  CrossRef  Google Scholar 

  16. Segala, R., Lynch, N.: Probabilistic simulations for probabilistic processes. Nordic J. of Computing 2, 250–273 (1995)

    MathSciNet  MATH  Google Scholar 

  17. Tanenbaum, A.S.: Computer networks. PTR Prentice-Hall

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2012 IFIP International Federation for Information Processing

About this paper

Cite this paper

Cerone, A., Hennessy, M. (2012). Modelling Probabilistic Wireless Networks. In: Giese, H., Rosu, G. (eds) Formal Techniques for Distributed Systems. FMOODS FORTE 2012 2012. Lecture Notes in Computer Science, vol 7273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30793-5_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-30793-5_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30792-8

  • Online ISBN: 978-3-642-30793-5

  • eBook Packages: Computer ScienceComputer Science (R0)