Performance Analysis of k-Ary n-Cube Networks with Pipelined Circuit Switching

Several existing studies have revealed that pipelined circuit switching (or PCS for short) can provide superior performance characteristics over wormhole switching. This paper proposes a new analytical model for PCS in high-radix high-dimensional k-ary n-cubes augmented with virtual channel support. The model uses Random Walk Theory to analyse the backtracking actions of the message header during the path set-up phase, and M/G/1 queueing systems to compute the mean waiting time that a message experiences at a source node before entering the network. Results from simulation experiments confirm that the proposed model exhibits a good degree of accuracy for various network sizes and under different operating conditions.

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

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

[3]  Hamid Sarbazi-Azad,et al.  An accurate analytical model of adaptive wormhole routing in k-ary n-cubes interconnection networks , 2001, Perform. Evaluation.

[4]  Imrich Chlamtac,et al.  A Performance Model of a Connection-Oriented Hypercube Interconnection System , 1996, Perform. Evaluation.

[5]  Wayne H. Wolf,et al.  An Automaton Model for Scheduling Constraints in Synchronous Machines , 1995, IEEE Trans. Computers.

[6]  D. Lenoski,et al.  The SGI Origin: A ccnuma Highly Scalable Server , 1997, Conference Proceedings. The 24th Annual International Symposium on Computer Architecture.

[7]  James Sutton,et al.  iWarp: a 100-MOPS, LIW microprocessor for multicomputers , 1991, IEEE Micro.

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

[9]  Sudhakar Yalamanchili,et al.  A Family of Fault-Tolerant Routing Protocols for Direct Multiprocessor Networks , 1995, IEEE Trans. Parallel Distributed Syst..

[10]  Bruno Ciciani,et al.  Performance Analysis of Circuit-Switching Interconnection Networks with Deterministic and Adaptive Routing , 1998, Perform. Evaluation.

[11]  William J. Dally,et al.  Deadlock-Free Message Routing in Multiprocessor Interconnection Networks , 1987, IEEE Transactions on Computers.

[12]  Seth Abraham,et al.  Performance-Based Constraints for Multidimensional Networks , 2000, IEEE Trans. Parallel Distributed Syst..

[13]  A. A. Chein,et al.  A cost and speed model for k-ary n-cube wormhole routers , 1998 .

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

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

[16]  William J. Dally Virtual-Channel Flow Control , 1992, IEEE Trans. Parallel Distributed Syst..

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

[18]  Emmanouel A. Varvarigos,et al.  Circuit Switching with Input Queuing: An Analysis for the d-Dimensional Wraparound Mesh and the Hypercube , 1997, IEEE Trans. Parallel Distributed Syst..

[19]  Mohamed Ould-Khaoua,et al.  A performance model of pipelined circuit switching in hypercubes , 2001, Microprocess. Microsystems.