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A New Efficient Parallel Revised Relaxation Algorithm

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Intelligent Computing (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4113))

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Abstract

The relaxation algorithm for linear programming is revised in this paper. Based on cluster structure, a parallel revised algorithm is presented. Its performance is analyzed. The experimental results on DAWNING 3000 are also given. Theoretical analysis and experimental results show that the revised relaxation algorithm improves the performance of the relaxation algorithm, and it has good parallelism and is very robust. Therefore, it can expect to be applied to the solution of the large-scale linear programming problems rising from practical application.

This work is supported by National Natural Science Foundation of China Grant #6027307, Grant #70471031 and Scientific Research Foundation of Naval University of Engineering Grant #HGDJJ05005.

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References

  1. Papadimitrious, C.H., Steiglitz, K.: Combinatorial Optimization. Algorithms and Complexity (1992)

    Google Scholar 

  2. Lyu, J., Luh, H., Lee, M.: Performance Analysis Of A Parallel Dantzig-Wolfe Decomposition Algorithm for Linear Programming. Computers and Mathematics with Applications 44, 1431–1437 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  3. Maros, I., Mitra, G.: Investigating the Sparse Simplex Algorithm On a Distributed Memory Multiprocessor. Parallel Computing 26, 151–170 (2000)

    Article  MATH  Google Scholar 

  4. Klabjan, D., Johnson, E., Nemhauser, G.: A Parallel Primal-dual Simplex Algorithm. Operation Research Letters 27, 47–55 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Johnson, H.E.: Computational Results with a Primal-dual Sub problem Simplex Method. Operation Research Letter 25, 149–158 (1999)

    Article  MATH  Google Scholar 

  6. Nemhauser, G.L., Wolsey, L.A.: Integer and Combinatorial Optimization. Wiley, New York (1988)

    MATH  Google Scholar 

  7. Gay, D.M.: E1ectronic Mail Distribution of Linear Programming Test Problems. Mathematical Programming Society COAL Newsletter 13, 10–12 (1985)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Zhang, J., Li, Q., Song, Y., Qu, Y. (2006). A New Efficient Parallel Revised Relaxation Algorithm. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing. ICIC 2006. Lecture Notes in Computer Science, vol 4113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816157_98

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  • DOI: https://doi.org/10.1007/11816157_98

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37271-4

  • Online ISBN: 978-3-540-37273-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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