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A New Two-Dimensional Mesh Topology with Optical Interlinks

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Progress in Intelligent Computing Techniques: Theory, Practice, and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 719))

Abstract

The performance of parallel computer heavily depends on the topology of the interconnection network. Two-dimensional mesh is a well-known topology for processor arrays. However, its large diameter increases execution time when the parallel algorithm requires communication between arbitrary pair of nodes. Wraparound connections between end nodes reduces its diameter, however, increases the complexity in the design of parallel algorithms. In this paper, we have proposed an intermediate approach, where additional links are used to reduce the diameter without increasing the design complexity. These additional optical links provides high-speed communication between nodes that are separated by half the number of nodes in each dimension. Also, we present efficient parallel algorithms for some elementary problems on the proposed system.

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References

  1. Alverson, R., et al.: The Tera Computer System. In: International Conference on Supercomputing, Assoc. of Comput. Machinery (1990) 1–6

    Google Scholar 

  2. http://ed-thelen.org/comp-hist/intel-paragon.html

  3. Scott, S., Thorson, G.: Optimized routing in the Cray T3D. In: First International workshop on Parallel Computer Routing and Communication, LNCS, Vol. 853 (1994) 281–294

    Google Scholar 

  4. Gara, N.A., et al.: Overview of the Blue Gene/L system architecture, IBM J. Res. & Dev., Vol. 49, No. 213 (2005) 195–212

    Google Scholar 

  5. Das, D., Sinha, B.P.: A new network topologies with multiple meshes. IEEE Transaction on Computers, Vol. 44, No. 5 (1999) 536–551

    Google Scholar 

  6. Chen, W.M., Chen, G.H., Hsu, D.F.: Combinatorial properties of mesh of trees,. In: International Symposium on Parallel, Architectures, Algorithms and Networks (2000) 134–139

    Google Scholar 

  7. Jana, P.K.: Multi-mesh of trees with its parallel algorithms. Journal of System Architecture, Vol. 50 (2004) 193–206

    Google Scholar 

  8. Marsden, G.C., Marchand, P.J., Harvey, P., Esener, S.C.: Optical Transpose Interconnection System Architecture, Optical Letters, Vol. 18, No. 3 (1993) 1083–1085

    Google Scholar 

  9. Wang, C.F., Sahani, S.: Basic Operation on OTIS-Mesh Optoelectronics Computer. IEEE Transaction on Parallel and Distributed Systems, Vol. 19, No. 12 (1998) 1226–1233

    Google Scholar 

  10. Sinha, B.P., Banyopadhyay, S.: OMULT: An Optical Interconnection System for Parallel Computing. LNCS, Vol. 3149 (2004) 302–312

    Google Scholar 

  11. Ladner, R.E., Fischer, M.J.: Parallel Prefix Computation, Journal of the Association of Computing Machinery, Vol. 27, No. 4 (1980) 831–838

    Google Scholar 

  12. Egecioglu, O., Srinivasan, A.: Optimal Parallel Prefix on Mesh Architecture, Parallel Algorithms Appl., Vol. 1 (1993) 191–209

    Google Scholar 

  13. Jha, S.K.: An Improved parallel Prefix Computation on 2-D Mesh Network, Procedia Technology, Vol. 10 (2013) 919–926

    Google Scholar 

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Correspondence to Amritanjali .

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Amritanjali (2018). A New Two-Dimensional Mesh Topology with Optical Interlinks. In: Sa, P., Sahoo, M., Murugappan, M., Wu, Y., Majhi, B. (eds) Progress in Intelligent Computing Techniques: Theory, Practice, and Applications. Advances in Intelligent Systems and Computing, vol 719. Springer, Singapore. https://doi.org/10.1007/978-981-10-3376-6_47

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  • DOI: https://doi.org/10.1007/978-981-10-3376-6_47

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