Abstract
The star graph interconnection network has been recognized as an attractive alternative to the popular hypercube network. In this paper, we present a multipath-based multicast routing model for wormholerouted star graph networks, propose two efficient multipath routing schemes, and contrast the performance of the proposed schemes with the performance of the scheme presented in our previous work. Both of the two proposed schemes have been proven to be deadlock-free. The first scheme, simple multipath routing, uses multiple independent paths for concurrent multicasting. The second scheme, two-phase multipath routing, includes two phases: source-to-relay and relay-to-destination. For each phase, multicasting is carried out using simple multipath routing. Experimental results show that, for short and medium messages with small message startup latencies, the proposed schemes reduce multicast latency more efficiently than other schemes.
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References
S. B. Akers, D. Harel, and B. Krishnamurthy. The star graph: An attractive alternative to the n-cube. Proceedings of the 1987 International Conference on Parallel Processing, Aug. 1987, pp. 393–400.
S. B. Akers and B. Krishnamurthy. A group-theoretic model for symmetric interconnection networks. IEEE Trans. on Computers, 38(4):555–565, 1989.
H. R. Arabnia and S. M. Bhandarkar. Parallel stereocorrelation on a reconfigurable multi-ring network. The Journal of Supercomputing, Special Issue on Parallel and Distributed Processing, 10(3):243–269, 1996.
S. M. Bhandarkar and H. R. Arabnia. The REFINE multiprocessor—theoretical properties and algorithms. Parallel Computing, 21(11):1783–1805, 1995.
S. M. Bhandarkar and H. R. Arabnia. Parallel computer vision on a reconfigurable multiprocessor network. IEEE Trans. on Parallel and Distributed Systems, 8(3):292–309, 1997.
T.-S. Chen, N.-C. Wang, and C.-P. Chu. Multicast communication in wormhole-routed star graph interconnection networks. Parallel Computing, 26(11):1459–1490, 2000.
L. D. Coster, N. Dewulf, and C. T. Ho. Efficient multi-packet multicast algorithms on meshes with wormhole and dimension-ordered routing. Proceedings of International Conference on Parallel Processing, Aug. 1995, Vol. III, pp. 137–141.
W. J. Dally and C. L. Seitz. Deadlock-free message routing in multiprocessor interconnection networks. IEEE Trans. on Computers, C-36(5):547–553, 1987.
K.-P. Fan and C.-T. King. Turn grouping for multicast in wormhole-routed mesh networks supporting the turn model. The Journal of Supercomputing, 16(3):237–260, 2000.
Y. Lan, A. H. Esfahanian, and L. M. Ni. Multicast in hypercube multiprocessors. Journal of Parallel and Distributed Computing, 8(1):30–41, 1990.
X. Lin, P. K. McKinley, and L. M. Ni. Deadlock-free multicast wormhole routing in 2D mesh multicomputers. IEEE Transaction on Parallel and Distributed Systems, 5(8):793–804, 1994.
P. K. McKinley, H. Xu, A. H. Esfahanianm, and L. M. Ni. Unicast-based multicast communication in wormhole-routed networks. IEEE Trans. on Parallel and Distributed Systems, 5(12):1252–1265, 1994.
P. K. McKinley, Y. J. Tsai, and D. F. Robinson. Collective communication in wormhole-routed massively parallel computers. Computer, 28(12):39–50, 1995.
L. M. Ni and P. K. McKinley. A survey of wormhole routing techniques in direct networks. Computer, 26(2):62–76, 1993.
M. Nigam, S. Sahni, and B. Kirshnamurthy. Embedding hamiltonians and hypercubes in star interconnection graphs. Proceedings of International Conference on Parallel Processing, Aug. 1990, Vol. 3, pp. 340–343.
D. K. Panda, S. Singal, and R. Kesavan. Multidestination message passing inwormhole k-ary n-cube networks with base routing conformed path. IEEE Trans. on Parellel and Distributed Systems, 10(1):76–96, 1999.
D. F. Robinson, P. K. McKinley, and B. H. C. Cheng. Path-based multicast communication in wormhole-routed unidirectional torus networks. Journal of Parallel and Distributed Computing, 45(2):104–121, 1997.
Y.-C. Tseng, D. K. Panda, and T.-H. Lai. A trip-based multicasting model for wormhole-routed networks with virtual channels. IEEE Trans. on Parallel and Distributed Systems, 7(2):138–150, 1996.
Y.-C. Tseng and J.-P. Sheu. Toward optimal broadcast in a star graph using multiple spanning trees. IEEE Trans. on Computers, 46(5):593–599, 1997.
Y.-C. Tseng, M.-H. Yang, and T.-Y. Juang. Achieving fault-tolerant multicast in injured wormhole-routed tori and meshes based on euler path construction. IEEE Trans. on Computers, 49(3):1282–1296, 2000.
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Wang, NC., Chu, CP. & Chen, TS. Multipath-Based Multicasting Strategies for Wormhole-Routed Star Graph Interconnection Networks. The Journal of Supercomputing 29, 265–286 (2004). https://doi.org/10.1023/B:SUPE.0000032781.99502.ac
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DOI: https://doi.org/10.1023/B:SUPE.0000032781.99502.ac