Abstract
In this paper the technical aspects concerning an efficient implementation of parallel methods for solving large-scale network flow optimization problems are discussed. In particular, the attention will be focused to the evaluation of the numerical performance of different synchronous implementations of the relaxation method on shared-memory multiprocessor system. This method is particularly suited for high-performance computing and is applicable for solving problems with millions of variables which arise in several applications.
This research work was partially supported by the National Research Council of Italy, within the special project “Sistemi Informatici e Calcolo Parallelo”, under CNR contract No. 93.01606.PF69.
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Bertsekas D.P. and Tsitsiklis J.N., Parallel and Distributed Computation (Numerical Methods), Prentice-Hall, Englewood Cliffs, New Jersey, 1989.
Chajakis E.D. and Zenios A.S., Synchronous and Asinchronous Impementations of Relaxation Algorithms for Nonlinear Network Optimization, Parallel Computing, (17), 873–894, 1991.
Zenios S.A. and Mulvey J.M., A Distributed Algorithm for Convex Network Optimization Problems, Parallel Computing (6), 43–56, 1988.
F. Guerriero and R. Musmanno, Un algoritmo parallelo iterativo per il problema di flusso a costo minimo non lineare, Technical Report C.N.R. no. 1/164 — Progetto Finalizzato “Sistemi Informatici e Calcolo Parallelo”, Sottoprogetto 1: “Calcolo Scientifico per Grandi Sistemi”, 1993.
Klingman D., Napier A. and Stutz J., NETGEN — A Program for Generating Large Scale (Un)Capacitede Assignment, Transportation and Minimum Cost Flow Network Problems, Management Science (20), 814–822, 1974.
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© 1994 Springer-Verlag Berlin Heidelberg
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Grandinetti, L., Guerriero, F., Musmanno, R. (1994). Parallel techniques for large-scale nonlinear network optimization. In: Gentzsch, W., Harms, U. (eds) High-Performance Computing and Networking. HPCN-Europe 1994. Lecture Notes in Computer Science, vol 796. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020352
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DOI: https://doi.org/10.1007/BFb0020352
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