Abstract
The efficient parallel mapping of numerical problems (over different parallel architectures) is necessary for fast execution of massive data. In fact, it is a challenging task and significant ongoing subject of research. The Bi Swapped Network (BSN) is recently reported 2-level hybrid and symmetrical optoelectronic network architecture, offer major improvements especially for drawbacks aroused due to the asymmetrical behavior of the well known swapped/OTIS network. In this paper, the efficient parallel mapping of binomial function (special cases: Taylor series and Negative Binomial Series) of 2n4 + 1 terms is presented on n × n Bi Swapped Network mesh in 2T + 24(n − 1) electronic and 8 optical moves, Here, we assume T is the time required to compute parallel prefix for each identical cluster (mesh).
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References
Akl, S.G.: The Design and Analysis of Parallel Algorithms. Prentice-Hall, Englewood Cliffs (1989)
Ladner, R.E., Fischer, M.J.: Parallel prefix computation. J. Assoc. Comput. Mach. 27(4), 831–838 (1980)
Horowitz, E., Sahnp, S., Rajasekaran, S.: Fundamentals of Computer Algorithms. Galgotia Publications Pvt. Ltd., Delhi (1998)
Parhami, B.: Introduction to Parallel Processing: Algorithms and Architectures, 1st edn. Springer, Heidelberg (1999). https://doi.org/10.1007/b116777
Grama, A., Karypis, G., Kumar, V., Gupta, A.: Introduction to Parallel Computinc, 2nd edn. Addison Wesley, Boston (2003)
Jha, S.K.: An improved parallel prefix computation on 2D mesh network. In: Interntional Conference of Computational Intelligence: Modelinc, Tehniques and Applications (CIMTA) (2013)
Xiao, W., Chen, W., He, M., Wei, W., Parhamp, B.: Biswapped network and their topological properties. In: Proceedings-Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, pp. 193–198 (2007)
Wei, W., Xiao, W.: Matrix multiplication on the biswapped-mesh network. In: Proceedings Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, pp. 211–215 (2007)
Ye, H., Xiao, W., Wu, J.: Broadcasting on the BSN-hypercube network. In: 2009 Second International Conference on Information and Computing Science, vol. 01, pp. 167–170 (2009)
Wei, W., Xiao, W.: Fault tolerance in the biswapped network. In: Bourgeois, A.G., Zheng, S.Q. (eds.) ICA3PP 2008. LNCS, vol. 5022, pp. 79–82. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-69501-1_10
Wei, W., Xiao, W.: Algorithms of basic communication operation on the biswapped network. In: Bubak, M., van Albada, G.D., Dongarra, J., Sloot, Peter M.A. (eds.) ICCS 2008. LNCS, vol. 5101, pp. 347–354. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-69384-0_40
Wei, W., Xiao, W.: Efficient parallel algorithm for sorting on the biswapped network. J. Comput. Infor. Syst. 4(4), 1365–1370 (2008)
Yu, Y., Wei, W.: Load balancing on the biswapped network. In: Proceedings of the 2nd International Conference on Intelligent Networks and Intelligent Systems, pp. 146–149 (2009)
Wei, W., Li, Y.: Load balancing on heterogeneous biswapped network. In: 3rd International Symposium on Electronic Commerce and Security, IEEE CS, pp. 253–256 (2010)
Wei, W., Li, Y.: Fault-tolerant routing algorithm for BSN-hypercube using unsafety vectors. J. Comput. Inf. Syst. 1(2), 623–630 (2011)
Gupta, A.: Parallel algorithm for binomial series (special cases) using mesh architecture. In: 2nd IEEE International Conference on Parallel, Distributed and Grid Computing (PDGC), Solan, pp. 153–157 (2012)
Xiao, W., Parhami, B., Chen, W., He, M., Wei, W.: Biswapped networks: a family of interconnection architectures with advantages over swapped or OTIS networks. Int. J. Comput. Math. 88(13), 2669–2684 (2011)
Wei, W., Li, Q., Tao, M.: Parallel prefix algorithm on BSN-mesh. In: Fourth International Conference on Emerging Intelligent Data and Web Technologies, pp. 46–50 (2013)
Zhao, C.: Efficient load balancing on biswapped networks. Cluster Comput. 17(2), 403–411 (2014)
Linc, S., Chen, W.: Node-to-set disjoint paths in bi-swapped networks. Comput. J. 57(7), 953–967 (2014)
Wei, W., Li, Q., Tao, M.: BSN-mesh and its basic parallel algorithms. Int. J. Grid Util. Comput. 6(¾), 213–220 (2015)
Sun, L., Tonc, C.: Basic operations on BSN-hypercube multiprocessors. J. Comput. Inf. Syst. 10(12), 5211–5218 (2014)
Gupta, A., Sarkar, B.K.: A new parallel approach for prefix sum on Bi Swapped Network mesh. In: IEEE 2nd International Conference on Next Generation Computing Technologies, pp. 393–396 (2016)
Gupta, A., Sarkar, B.K.: Parallel algorithm for LaGrange’s interpolation on BSN-mesh. In: Singh, R., Choudhury, S. (eds.) Proceeding of International Conference on Intelligent Communication, Control and Devices. Advances in Intelligent Systems and Computing, vol. 479, pp. 673–682. Springer, Singapore (2017). https://doi.org/10.1007/978-981-10-1708-7_77
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Gupta, A., Sarkar, B.K. (2018). An Efficient Parallel Approach for Mapping Finite Binomial Series (Special Cases) on Bi Swapped Network Mesh. In: Bhattacharyya, P., Sastry, H., Marriboyina, V., Sharma, R. (eds) Smart and Innovative Trends in Next Generation Computing Technologies. NGCT 2017. Communications in Computer and Information Science, vol 827. Springer, Singapore. https://doi.org/10.1007/978-981-10-8657-1_20
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