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 (1)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.
References
D. M. Dias and J.R. Jump. Analysis and simulation of buffered delta networks. IEEE Trans. Comput., C-30: 273–282, 1981.
J. Ding and L. N. Bhuyan. Performance evaluation of multistage interconnection networks with finite buffers. In Proc. 1991 Int. Conf. Parallel Processing, 1991, pp. 592–595.
L. R. Coke and G. J. Lipovski. Banyan networks for partitioning multiprocessor systems. First Ann. Symp. Comput. Archit., 21–28, 1973.
S. H. Hsiao and C. Y. R. Chen. Performance analysis of single-buffered multistage interconnection networks. In Proc. Third IEEE Symp. Parallel and Distributed Processing, Dec. 1991, pp. 864–867.
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.
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.
C. P. Kruskal and M. Snir. The performance of multistage interconnection networks for multiprocessors. IEEE Trans. Comput., C-32:1091–1098, 1983.
M. Kumar and J.R. Jump. Performance of unbuffered shuffle-exchange networks. IEEE Trans. Comput., C-35:573–578, 1986.
T. Lin and L. Kleinrock. Performance analysis of finite-buffered multistage interconnection networks with a general traffic pattern. Proc. 1991 ACM SIGMETR1CS Conf., May, 1991, pp. 68–78.
D.C. Little. A proof of the queueing formula L = λ W. Operations Res., 9:383–387, 1961.
Y. Mun and H. Y. Youn. Performance analysis of finite buffered multistage interconnection networks. IEEE Trans. Comput., C-43(2):153–162, 1994.
Y. Mun and H. Y. Youn. On multistage interconnection networks with small clock cycles. accepted for the publication of IEEE Trans, Comput.
J. H. Patel. Performance of processor-memory interconnections for multiprocessors. IEEE Trans. Comput., C-30:771–780, 1981.
S. L. Scott and G. S. Sohi. Using feedback to control tree saturation in multistage interconnection networks. Proc. the 16th Annual Int’l Symp. on Computer Archit., 1989, pp. 167–176.
T. Szymanski and S. Shaikh. Markov chain analysis of packet-switched banyans with arbitrary switch lines, queue lines, link multiplicities and speedups. In Proc. IEEE 1NFOOTI ‘89, April 1989, pp. 960–971.
T. H. Theimer, E. P. Rathgeb and M. X. Huber. Performance analysis of buffered banyan networks. IEEE Trans. Commun., C-39:269–277, 1991.
J. S. Turner. Design of an integrated services packet network. IEEE J. Select. Areas Commun., SAC-4:1373–1380, 1986.
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.
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.
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.
H.Y. Youn and C. Chevli. Local hot spot control with bypassing for multistage interconnection networks. In Proc. the 1991 Symp. on Aplied Computing, April 1991, pp. 273–282.
Author information
Authors and Affiliations
Corresponding author
Rights 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/s11227-005-0219-x
Issue Date:
DOI: https://doi.org/10.1007/s11227-005-0219-x