Randomized parallel communications on an extension of the omega network
Journal of the ACM (JACM)
The Distribution of Waiting Times in Clocked Multistage Interconnection Networks
IEEE Transactions on Computers
Analytical models for the performance analysis of banyan networks
Analytical models for the performance analysis of banyan networks
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Analytical models of combining Banyan networks
SIGMETRICS '92/PERFORMANCE '92 Proceedings of the 1992 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
A Markov-modulated Bernoulli process approximation for the analysis of Banyan Networks
SIGMETRICS '93 Proceedings of the 1993 ACM SIGMETRICS conference on Measurement and modeling of computer systems
An analytical model for partially blocking finite-buffered switching networks
IEEE/ACM Transactions on Networking (TON)
Performance Analysis of Finite-Buffered Asynchronous Multistage Interconnection Networks
IEEE Transactions on Parallel and Distributed Systems
On the communication throughput of buffered multistage interconnection networks
Proceedings of the eighth annual ACM symposium on Parallel algorithms and architectures
The performance of simple routing algorithms that drop packets
Proceedings of the ninth annual ACM symposium on Parallel algorithms and architectures
Performing Permutations on Interconnection Networks by Regularly Changing Switch States
IEEE Transactions on Parallel and Distributed Systems
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This paper analyzes the delay suffered by messages in a clocked, packet-switched, square Banyan network with k x k output-buffered switches by approximating the flow processes in the network with Markov chains. We recursively approximate the departure process of buffers of the nth stage in terms of thqt at the n -- lst stage. We show how to construct the transition matrix for the Markov chain at each stage of the network and how to solve for the stationary distribution of the delay in the queues of that stage. The analytical results are compared with simulation results for several cases. Finally, we give a method based on this approximation and the technique of coupling to compute upper bounds on the time for the system to approach steady state.