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A virtually nonblocking self-routing permutation network which routes packets in O(log2 N) time

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Abstract

Asymptotically nonblocking networks are O(log2 N) depth self-routing permutation devices in which blocking probability vanishes when N (the number of network inputs) increases. This behavior does not guarantee, also for very large N, that all information always and simultaneously reaches its destination (and consequently that a whole permutation passes through the device) which is a requirement of the PRAM machine. In this work the conditions for which an asymptotically nonblocking network becomes asymptotically permutation nonblocking are studied, finally a virtually nonblocking device is obtained by a retransmission procedure which guarantees that all permutations always pass through this permutation device.

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Authors
  1. G.A. De Biase
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  2. A. Massini
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De Biase, G., Massini, A. A virtually nonblocking self-routing permutation network which routes packets in O(log2 N) time. Telecommunication Systems 10, 135–147 (1998). https://doi.org/10.1023/A:1019110915479

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  • DOI: https://doi.org/10.1023/A:1019110915479

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