Skip to main content
SpringerLink
Log in

Performance analysis of banyan-type multistage interconnection networks under nonuniform traffic pattern

  • The Journal of Supercomputing
  • Special Issue on Modeling and Simulation in Supercomputing and Telecommunications Contact Information
  • Published:
The Journal of Supercomputing Aims and scope Submit manuscript

Abstract

Multistage Interconnection Networks(MINs) have a number of applications in the areas of computer and communications. The most widely researched structure among MIN’s is the (l)banyan type network. It has several variations such as buffered banyan, batcher-banyan, tandem banyan, recirculating banyan and banyan with contention resolution phase. Analytical performance evaluation is crucial for justifying the merit of the design in different operational conditions. While several analytical models have been proposed for the performance evaluation of MINs, they are mainly for uniform traffics. Even the models for nonuniform traffics have several shortcomings such as they only consider output buffered structure or do not consider blocking conditions. In this paper, the more accurate models than any other ones so far have been proposed for the performance evaluation of multibuffered banyan-type MIN’s under nonuniform traffic condition is obtained. The accuracy of proposed models are conformed by comparing with the results from simulation. Firstly, single buffer model is developed. Markov chain is used for the analysis. Multibuffer model is obtained from single buffer model. Simulation is performed using Discrete Evenet Simulaton(DES) method. As a results, proposed model proves to be very accurate.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. M. Dias and J.R. Jump. Analysis and simulation of buffered delta networks.IEEE Trans. Comput., C-30:273–282, 1981.

    Article  Google Scholar 

  2. J. Ding and L. N. Bhuyan. Performance evaluation of multistage interconnection networks with finite buffers. InProc. 1991 Int. Conf. Parallel Processing, 1991, pp. 592–595.

  3. L. R. Coke and G. J. Lipovski. Banyan networks for partitioning multiprocessor systems.First Ann. Syrnp. Comput. Archit., 21–28, 1973.

  4. S. H. Hsiao and C. Y. R. Chen. Performance analysis of single-buffered multistage interconnection networks. InProc. Third IEEE Symp. Parallel and Distributed Processing, Dec. 1991, pp. 864–867.

  5. Y. C. Jenq. Performance analysis of a packet switch based on single-buffered banyan network.IEEE J. Select. Areas Commun., SAC-3:1014–1021, 1983.

    Article  Google Scholar 

  6. H. S. Kim and A. Leon-Garcia. Performance of buffered banyan networks under nonuniform traffic pattern.IEEE Trans. Commun., COM-38(5):648–658, 1990.

    Article  Google Scholar 

  7. C. P. Kruskal and M. Snir The performance of multistage interconnection networks for multiprocessors.IEEE Trans. Comput., C-32:1091–1098, 1983.

    Article  Google Scholar 

  8. M. Kumar and J.R. Jump. Performance of unbuffered shuffle-exchange networks.IEEE Trans. Comput., C-35:573–578, 1986.

    Article  Google Scholar 

  9. T. Lin and L. Kleinrock. Performance analysis of finite-buffered multistage interconnection networks with a general traffic pattern.Proc. 1991 ACM SIGMETRICS Conf., May, 1991, pp. 68–78.

  10. D.C. Little. A proof of the queueing formulaL = λW. Operations Res., 9:383–387, 1961.

    MATH  MathSciNet  Google Scholar 

  11. Y. Mun and H. Y. Youn. Performance analysis of finite buffered multistage interconnection networks.IEEE Trans. Comput., C-43(2):153–162, 1994.

    Google Scholar 

  12. Y. Mun and H. Y. Youn. On multistage interconnection networks with small clock cycles, accepted for the publication ofIEEE Trans, Comput.

  13. J. H. Patel. Performance of processor-memory interconnections for multiprocessors.IEEE Trans. Comput., C-30:771–780, 1981.

    Article  Google Scholar 

  14. S. L. Scott and G. S. Sohi. Using feedback to control tree saturation in multistage interconnection networks.Proc. the 16th Annual lnt’l Symp. on Computer Archit., 1989, pp. 167–176.

  15. T. Szymanski and S. Shaikh. Markov chain analysis of packet-switched banyans with arbitrary switch lines, queue lines, link multiplicities and speedups. InProc. IEEE INFOOTI ’89, April 1989, pp. 960–971.

  16. T. H. Theimer, E. P. Rathgeb and M. X. Huber Performance analysis of buffered banyan networks.IEEE Trans. Commun., C-39:269–277, 1991.

    Article  Google Scholar 

  17. J. S. Turner. Design of an integrated services packet network.IEEE J. Select. Areas Commun., SAC-4:1373–1380, 1986.

    Article  Google Scholar 

  18. A. Varma and C. S. Raghavendra. Performance analysis of a redundant-path interconnection network.Proc. 1985 Int’ 1 Conf. Paral lei Processing, 1985, pp. 474–479.

  19. I. Widjaja, A. L. Garcia, and H. T. Mouftah. The effect of cut-through switching on the performance of buffered banyan networks.Computer Networks and ISDN Systems, 26:139–159, 1993.

    Article  MATH  Google Scholar 

  20. H. S. Yoon, K. Y. Lee, and M. T. Liu Performance analysis of multibuffered packet-switching networks in multiprocessor systems.IEEE Trans. Comput., C-39:319–327, 1990.

    Article  Google Scholar 

  21. H.Y. Youn and C. Chevli. Local hot spot control with bypassing for multistage interconnection networks. InProc. the 1991 Symp. on Aplied Computing, April 1991, pp. 273–282.

Download references

Author information

Authors and Affiliations

  1. School of Computing, Soongsil University, 1-1 Sangdo-5dong, Dongjak-gu, Seoul, Korea

    Youngsong Mun

Authors
  1. Youngsong Mun
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mun, Y. Performance analysis of banyan-type multistage interconnection networks under nonuniform traffic pattern. J Supercomput 33, 33–52 (2005). https://doi.org/10.1007/BF02764139

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02764139

Keywords

Search

Navigation