A Fast Parallel Routing Algorithm for Benes Group Switches

A parallel routing algorithm for controlling the class of interconnection networks called group connectors is presented. Given any legal mapping from input to output groups with busy inputs, this algorithm can determine the switch setting of a Benes group connector with inputs and output groups in time on a completely connected computer or the EREW PRAM model with processing elements. The implementations of this algorithm on various realistic parallel machine models are also discussed.

[1]  J. A. Bondy,et al.  Graph Theory with Applications , 1978 .

[2]  Frank Thomson Leighton.  Introduction to parallel algorithms and architectures: arrays , 1992 .

[3]  A. Mullin,et al.  Mathematical Theory of Connecting Networks and Telephone Traffic. , 1966 .

[4]  F. Leighton,et al.  Introduction to Parallel Algorithms and Architectures: Arrays, Trees, Hypercubes , 1991 .

[5]  Leslie G. Valiant,et al.  A fast parallel algorithm for routing in permutation networks , 1981, IEEE Transactions on Computers.

[6]  A. Yavuz Oruç,et al.  A Fast Parallel Algorithm for Routing Unicast Assignments in Benes Networks , 1995, IEEE Trans. Parallel Distributed Syst..

[7]  V. Benes.  On rearrangeable three-stage connecting networks , 1962 .

[8]  Tony T. Lee,et al.  Parallel routing algorithms in Benes-Clos networks , 1996, Proceedings of IEEE INFOCOM '96. Conference on Computer Communications.

[9]  Janak H. Patel,et al.  Processor-memory interconnections for multiprocessors , 1979, ISCA '79.

[10]  Abraham Waksman,et al.  A Permutation Network , 1968, JACM.

[11]  Richard Cole,et al.  Parallel merge sort , 1988, 27th Annual Symposium on Foundations of Computer Science (sfcs 1986).

[12]  Francesco Masetti-Placci,et al.  Hardware Scheduling in High-speed, High-capacity IP Routers , 2002, IASTED PDCS.

[13]  D. C. Opferman,et al.  On a class of rearrangeable switching networks part I: Control algorithm , 1971 .

[14]  Sartaj Sahni,et al.  Parallel Algorithms to Set Up the Benes Permutation Network , 1982, IEEE Transactions on Computers.

[15]  Mei Yang,et al.  The k DRR Scheduling Algorithms for Multi-server Packet Switches , 2002 .

[16]  Joseph JáJá,et al.  An Introduction to Parallel Algorithms , 1992 .

[17]  Kyungsook Y. Lee,et al.  A New Benes Network Control Algorithm , 1987, IEEE Trans. Computers.

[18]  Kyungsook Y. Lee.  On the Rearrangeability of 2(log2N) - 1 Stage Permutation Networks , 1985, IEEE Trans. Computers.