书目名称 | Deterministic Global Optimization | 副标题 | Geometric Branch-and | 编辑 | Daniel Scholz | 视频video | | 概述 | Numerous examples throughout the text.Easily accessible format.In depth exploration of geometric branch-and-bound methods | 丛书名称 | Nonconvex Optimization and Its Applications | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2012 | 关键词 | Bounding Operation; Branch and Bound Algorithm; Circle Detection Problem; Deterministic Global Optimiza | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4614-1951-8 | isbn_softcover | 978-1-4899-9555-1 | isbn_ebook | 978-1-4614-1951-8 | copyright | Springer Science+Business Media, LLC 2012 |
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