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9780444558411: Submodular Functions and Optimization

Sinopsis

The importance of submodular functions has been widely recognized in recent years in combinatorial optimization. This is the first book devoted to the exposition of the theory of submodular functions from an elementary technical level to an advanced one. A unifying view of the theory is shown by means of base polyhedra and duality for submodular and supermodular systems. Among the subjects treated are: neoflows (submodular flows, independent flows, polymatroidal flows), submodular analysis (submodular programs, duality, Lagrangian functions, principal partitions), nonlinear optimization with submodular constraints (lexicographically optimal bases, fair resource allocation). Special emphasis is placed on the constructive aspects of the theory, which lead to practical, efficient algorithms.

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Reseña del editor

The importance of submodular functions has been widely recognized in recent years in combinatorial optimization. This is the first book devoted to the exposition of the theory of submodular functions from an elementary technical level to an advanced one. A unifying view of the theory is shown by means of base polyhedra and duality for submodular and supermodular systems. Among the subjects treated are: neoflows (submodular flows, independent flows, polymatroidal flows), submodular analysis (submodular programs, duality, Lagrangian functions, principal partitions), nonlinear optimization with submodular constraints (lexicographically optimal bases, fair resource allocation). Special emphasis is placed on the constructive aspects of the theory, which lead to practical, efficient algorithms.

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Otras ediciones populares con el mismo título

9780444885562: Submodular Functions and Optimization (Volume 47) (Annals of Discrete Mathematics, Volume 47)

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ISBN 10:  0444885560 ISBN 13:  9780444885562
Editorial: North-Holland, 1991
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Satoru Fujishige
Publicado por North Holland, 2012
ISBN 10: 0444558411 ISBN 13: 9780444558411
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Librería: Revaluation Books, Exeter, Reino Unido

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Paperback. Condición: Brand New. 280 pages. 9.50x6.50x0.64 inches. In Stock. Nº de ref. del artículo: zk0444558411

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