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Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming

Language EnglishEnglish
Book Hardback
Book Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming Ivo Nowak
Libristo code: 01716741
Publishers Birkhauser Verlag AG, August 2005
This book presents a comprehensive description of theory, algorithms and software for solving noncon... Full description
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This book presents a comprehensive description of theory, algorithms and software for solving nonconvex mixed integer nonlinear programs (MINLP). The main focus is on deterministic global optimization methods, which play a very important role in integer linear programming, and are used only recently in MINLP.The presented material consists of two parts. The first part describes basic optimization tools, such as block-separable reformulations, convex and Lagrangian relaxations, decomposition methods and global optimality criteria. Some of these results are presented here for the first time.The second part is devoted to algorithms. Starting with a short overview on existing methods, deformation, rounding, partitioning and Lagrangian heuristics, and a branch-cut-and-price algorithm are presented. The algorithms are implemented as part of an object-oriented library, called LaGO. Numerical results on several mixed integer nonlinear programs are reported to show abilities and limits of the proposed solution methods.The book contains many illustrations and an up-to-date bibliography. Because of the emphasis on practical methods, as well as the introduction into the basic theory, it is accessible to a wide audience and can be used both as a research as well as a graduate text.

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About the book

Full name Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming
Author Ivo Nowak
Language English
Binding Book - Hardback
Date of issue 2005
Number of pages 213
EAN 9783764372385
ISBN 3764372389
Libristo code 01716741
Weight 518
Dimensions 155 x 235 x 18
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