Abstract
Duplication-based scheduling techniques are more appropriate for fine grain task graphs and for networks with high communication latencies. However, most of the algorithms are developed under the assumption of fully connected processor network and with prohibitively high O(v4) time complexity. An insertion based duplication algorithm is proposed for precedence constrained task graphs, for working with limited interconnection constrained processors. It duplicates only the most important immediate parents of a task, that too if critical. Results are presented for benchmark random task graphs, having widely varying shape and cost parameters for the clique, Hypercube and an extensible and fault tolerant binary de Bruijn (undirected) multiprocessor network. The average performance degradation, due to interconnection constraints, is about 21% in comparison to fully connected processor network. Further, the schedules generated on the fixed degree binary de-Bruijn network are within 5% of the schedules on Hypercube network, whose degree keeps on increasing with size.
On QIP study leave from Electronics Engg. Deptt. of GZS College of Engg. & Technology, Bathinda (Punjab. 151001, INDIA)
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References
Gerasoulis, A., Yang, T.: A Comparison of Clustering Heuristics for Scheduling Directed Acyclic Graphs onto Multiprocessors. Journal of Parallel and Distributed Computing 16 (1992) 276–291
Kruatrachue, B., Lewis, T.G.: Grain Size Determination for Parallel Processing. IEEE Transactions on Software Engineering(1988) 23–32
Sih, G.C., Lee, E.A.: A Compile-Time Scheduling Heuristic for Interconnection Constrained Heterogeneous Processor Architectures. IEEE Transactions on Parallel and Distributed Systems.4 (1993) 75–87
Rewini, H.El., Lewis, T.G., Ali, H.H.: Task Scheduling in Parallel and Distributed Systems. Prentice Hall, NJ (1994)
Ahmed, I., Kwok, Y.K.: On Exploiting Task Duplication in Parallel Program Scheduling. IEEE Transactions on Parallel and Distributed Systems (1998) 872–892
Dikaiakos, M.D., et. al.: A Comparative Study of Heuristics for Mapping Parallel Algorithms to Message Passing Multiprocessors. Tech. Report Princeton University (1994)
Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness, W.H. Freeman and Co. (1979)
Wu, M.Y., Gajski, D.S.: Hypertool: A Programming Aid for Message-Passing Systems. IEEE Transactions on Parallel and Distributed Systems 1(1990) 330–343
Wu, M.Y., Shu, W., Gu, J.: Efficient Local Search for DAG Scheduling. IEEE Transactions on Parallel and Distributed Systems 12 (2001) 617–627
Sevalkumar, S., Ramamoorthy, C.V.: Scheduling Precedence Constrained Task Graphs with Non-Negligible Inter Task Communication onto Multiprocessors. IEEE Transactions on Parallel and Distributed Systems (1994) 328–336
Darbha, S., Agrawal, D.P.: Optimal Scheduling Algorithm for Distributed Memory Machines, IEEE Transactions on Parallel and Distributed systems (1998) 87–95
Yang T., Gerasoulis, A.: DSC: Scheduling Parallel Tasks on an Unbounded Number of Processors. IEEE Transactions on Parallel and Distributed Systems 5 (1994) 951–967
Kwok, Y.K., Ahmad, I.: Benchmarking and Comparison of the Task Graph Scheduling Algorithms. Journal of Parallel and Distributed Computing 59 (1999) 381–422
Samatham, M.R., Pradhan, D.K.: The de Bruijn Multiprocessor Network: A Versatile Parallel Processing and Sorting Network for VLSI. IEEE Transactions on Computers 38 (1989) 567–581
Bansal, S., Kumar, P., Singh, K.: A Cost-effective Scheduling Algorithm for Message Passing Multiprocessor Systems. (Accepted for publication in Proc. PDCS-2002, Louisville, Kentucky, USA, Sept. 19-21, 2002)
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Bansal, S., Kumar, P., Singh, K. (2002). Duplication-Based Scheduling Algorithm for Interconnection-Constrained Distributed Memory Machines. In: Sahni, S., Prasanna, V.K., Shukla, U. (eds) High Performance Computing — HiPC 2002. HiPC 2002. Lecture Notes in Computer Science, vol 2552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36265-7_6
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DOI: https://doi.org/10.1007/3-540-36265-7_6
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