An analytical model of fully-adaptive wormhole-routed k-ary n-cubes in the presence of hot spot traffic

Several analytical models of fully-adaptive routing have recently been proposed for wormhole-routed k-ary n-cubes under the uniform traffic pattern. However, there has been hardly any model reported yet that deals with other important non-uniform traffic patterns, such as hot spots. As a result, most studies have resorted to simulation when evaluating the performance merits of adaptive routing. This paper describes the first analytical model of fully-adaptive wormhole routing in k-ary n-cubes in the presence of hot spot traffic. Results from simulation show close agreement with those predicted by the model.

[1]  R. E. Kessler,et al.  Cray T3D: a new dimension for Cray Research , 1993, Digest of Papers. Compcon Spring.

[2]  William J. Dally,et al.  Express Cubes: Improving the Performance of k-Ary n-Cube Interconnection Networks , 1989, IEEE Trans. Computers.

[3]  J DallyWilliam,et al.  Performance Analysis of k-ary n-cube Interconnection Networks , 1990 .

[4]  Chita R. Das,et al.  Hypercube Communication Delay with Wormhole Routing , 1994, IEEE Trans. Computers.

[5]  Mohamed Ould-Khaoua,et al.  An analytical model of Duato's fully-adaptive routing algorithm in k-ary n-cubes , 1998, Proceedings. 1998 International Conference on Parallel Processing (Cat. No.98EX205).

[6]  José Duato,et al.  A New Theory of Deadlock-Free Adaptive Routing in Wormhole Networks , 1993, IEEE Trans. Parallel Distributed Syst..

[7]  William J. Dally,et al.  Performance Analysis of k-Ary n-Cube Interconnection Networks , 1987, IEEE Trans. Computers.

[8]  Brian Skyrms,et al.  Choice And Chance , 1966 .

[9]  Sudhakar Yalamanchili,et al.  Interconnection Networks: An Engineering Approach , 2002 .

[10]  Gregory F. Pfister,et al.  “Hot spot” contention and combining in multistage interconnection networks , 1985, IEEE Transactions on Computers.

[11]  Bruno Ciciani,et al.  An accurate model for the performance analysis of deterministic wormhole routing , 1997, Proceedings 11th International Parallel Processing Symposium.

[12]  Joydeep Ghosh,et al.  A Comprehensive Analytical Model for Wormhole Routng in Multicomputer Systems , 1994, J. Parallel Distributed Comput..

[13]  Mohamed Ould-Khaoua,et al.  Analysis of fully adaptive wormhole routing in tori , 1999, Parallel Comput..

[14]  Charles L. Seitz,et al.  The cosmic cube , 1985, CACM.

[15]  William J. Dally.  Virtual-channel flow control , 1990, ISCA '90.

[16]  Michael D. Noakes,et al.  System design of the J-Machine , 1990 .

[17]  W. Jevons,et al.  Choice and Chance , 1870, Nature.

[18]  Anant Agarwal,et al.  Limits on Interconnection Network Performance , 1991, IEEE Trans. Parallel Distributed Syst..