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This paper studies the performance of unbuffered and buffered, packet-switching, multistage interconnection networks. We begin by reviewing the definition of banyan networks and introducing some generalizations of them. We then present an asymptotic analysis of the performance of unbuffered banyan networks, thereby solving a problem left open by Patel. We analyze the performance of the unbuffered generalized banyan networks, and compare networks with approximately equivalent hardware complexity. Finally, we analyze the performance of buffered banyan networks and again compare networks with approximately equivalent hardware complexity.