Randomized protocols for low-congestion circuit routing in multistage interconnection networks

R. Cole, B. M. Maggs, F. Meyer auf der Heide, M. Mitzenmacher, A. W. Richa, K. Schroeder, R. K. Sitaraman, B. Voecking

Proceedings of the Twenty Ninth Annual ACM Symposium on the Theory of Computing,, 1998, 378-388.

In this paper we study randomized algorithms for circuit switching on multistage networks related to the butterfly. We devise algorithms that route messages by constructing circuits (or paths) for the messages with small congestion, dilation, and setup time. Our algorithms are based on the idea of having each message choose a route from two possibilities, a technique that has previously proven successful in simpler load balancing settings. As an application of our techniques, we propose a novel design for a data server.

postscript of full paper