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Deterministic Global Optimization: Geometric Branch-and-bound Methods and their Applications (Springer Optimization and Its Applications / Nonconvex Optimization and Its Applications) Hardback - 2011 - 2012th Edition
by Daniel Scholz
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Details
- Title Deterministic Global Optimization: Geometric Branch-and-bound Methods and their Applications (Springer Optimization and Its Applications / Nonconvex Optimization and Its Applications)
- Author Daniel Scholz
- Binding Hardback
- Edition number 2012th
- Edition 2012
- Condition New
- Pages 142
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2011-11-05
- Features Bibliography, Index, Table of Contents
- Bookseller's Inventory # 13977332
- ISBN 9781461419501 / 1461419506
- Weight 0.88 lbs (0.40 kg)
- Dimensions 9.21 x 6.14 x 0.44 in (23.39 x 15.60 x 1.12 cm)
- Category Mathematics
- Dewey Decimal Code 519.6
- Quantity available 5
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From the rear cover
This monograph deals with a general class of solution approaches in deterministic global optimization, namely the geometric branch-and-bound methods which are popular algorithms, for instance, in Lipschitzian optimization, d.c. programming, and interval analysis.It also introduces a new concept for the rate of convergence and analyzes several bounding operations reported in the literature, from the theoretical as well as from the empirical point of view. Furthermore, extensions of the prototype algorithm for multicriteria global optimization problems as well as mixed combinatorial optimization problems are considered. Numerical examples based on facility location problems support the theory. Applications of geometric branch-and-bound methods, namely the circle detection problem in image processing, the integrated scheduling and location makespan problem, and the median line location problem in the three-dimensional space are also presented.
The book is intended for both researchers and students in the areas of mathematics, operations research, engineering, and computer science.
