Skip to main content
Log in

Simulation output analysis for local area computer networks

  • Published:
Acta Informatica Aims and scope Submit manuscript

Summary

This paper develops discrete event simulation methods for local area computer networks. We restrict attention to local network simulations with an underlying stochastic process that can be represented as a generalized semi-Markov process. Using a “geometric trials” criterion for recurrence, we establish a regenerative process structure for passage times in this setting. This leads to an estimation procedure for delay characteristics of ring and bus networks.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Crane, M.A., Iglehart, D.L.: Simulating stable stochastic systems: III, Regenerative processes and discrete event simulation. Operations Res. 23, 33–45 (1975)

    Google Scholar 

  2. Doob, J.L.: Stochastic Processes. New York: John Wiley, 1953

    Google Scholar 

  3. Eswaran, K.P., Hamacher, V.C., Shedler, G.S.: Collision-free access control for computer communication bus networks. IEEE Trans. Software Engrg. SE-7, 574–582 (1981)

    Google Scholar 

  4. Fossett, L.D.: Simulating generalized semi-Markov processes. Technical Report No. 4. Department of Operations Research. Stanford University. Stanford, CA, 1979

    Google Scholar 

  5. Glynn, P.W.: Forthcoming technical report. Department of Industrial Engineering. University of Wisconsin. Madison, WI, 1984

    Google Scholar 

  6. Haas, P.J., Shedler, G.S.: Regenerative simulation methods for local computer networks. Technical Report 25. Department of Operations Research. Stanford University. (Submitted for publication)

  7. Iglehart, D.L., Shedler, G.S.: Statistical efficiency of regenerative simulation methods for networks of queues. Advances in Appl. Probability 15, 183–197 (1983)

    Google Scholar 

  8. Iglehart, D.L., Shedler, G.S.: Simulation of non-Markovian systems. IBM J. Res. Develop. 27, 472–480 (1983)

    Google Scholar 

  9. Kaye, A.R.: Analysis of a distributed control loop for data transmission. Proc. of the Symposium on Computer Communication Networks and Teletraffic, pp. 47–57. Polytechnic Institute of Brooklyn Press, 1972

  10. König, D., Matthes, K., Nawrotzki, K.: Verallgemeinerungen der Erlangschen und Engsetschen Formeln. Berlin, Akademie-Verlag 1967

    Google Scholar 

  11. König, D., Matthes, K., Nawrotzki, K.: Unempfindlichkeitseigenschaften von Bedienungsprozessen. Appendix to Gnedenko, B.V., Kovalenko, I.N.: Introduction to Queueing Theory, German edition, 1974

  12. Loucks, W.M., Harnacher, V.C., Preiss, B.: Performance of short packet local area rings. Technical Report. Departments of Electrical Engineering and Computer Science. University of Toronto. Toronto, Canada, 1982

    Google Scholar 

  13. Matthes, K.: Zur Theorie der Bedienungsprozesse. Trans. 3rd Prague Conference on Information Theory and Statistical Decision Functions. Prague, 1962

  14. Miller, D.: Existence of limits in regenerative processes. Ann. Math. Statist. 43, 1275–1282 (1972)

    Google Scholar 

  15. Nummelin, E.: A splitting technique for φ-recurrent Markov chains. Technical Report MAT A 80. Helsinki University of Technology, Helsinki, 1976

    Google Scholar 

  16. Shedler, G.S., Southard, J.: Regenerative simulation of networks of queues with general service times: passage through subnetworks. IBM J. Res. Develop. 26, 625–633 (1982)

    Google Scholar 

  17. Smith, W.L.: Renewal theory and its ramifications. J. Roy. Statist. Soc. Ser. B20, 243–302 (1958)

    Google Scholar 

  18. Tuominen, P., Tweedie, R.L.: Exponential ergodicity in Markovian queueing and dam models. J. Appl. Probability 16, 867–880 (1979)

    Google Scholar 

  19. Whitt, W.: Continuity of generalized semi-Markov processes. Math. Operations Res. 5, 494–501 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Iglehart, D.L., Shedler, G.S. Simulation output analysis for local area computer networks. Acta Informatica 21, 321–338 (1984). https://doi.org/10.1007/BF00264614

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00264614

Keywords