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Massively Parallel Solution of Large Scale Network Flow Problems

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Nonlinear Optimization and Applications

Abstract

Two massively parallel algorithms for large scale linear and convex quadratic network flow problems are proposed and studied. The methods are based on the alternating step method for monotropic programming. The original network flow problem is decomposed in simple subproblems involving only few variables for which solution in closed form exists. Computational results obtained on the CRAY T3D show that the methods hold the promise of solving extremely large size problems.

This work was supported by CNR Grant n. 95.00732.CT01 and by a grant from CINECA

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© 1996 Springer Science+Business Media New York

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De Leone, R., Merelli, E., Sara, B. (1996). Massively Parallel Solution of Large Scale Network Flow Problems. In: Di Pillo, G., Giannessi, F. (eds) Nonlinear Optimization and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0289-4_4

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  • DOI: https://doi.org/10.1007/978-1-4899-0289-4_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0291-7

  • Online ISBN: 978-1-4899-0289-4

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