Global Optimization

Deterministic Approaches

  • Reiner Horst
  • Hoang Tuy

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Introduction and Basic Techniques

    1. Front Matter
      Pages 1-1
    2. Reiner Horst, Hoang Tuy
      Pages 3-50
    3. Reiner Horst, Hoang Tuy
      Pages 51-84
    4. Reiner Horst, Hoang Tuy
      Pages 85-110
    5. Reiner Horst, Hoang Tuy
      Pages 111-172
  3. Concave Minimization

    1. Front Matter
      Pages 173-173
    2. Reiner Horst, Hoang Tuy
      Pages 175-218
    3. Reiner Horst, Hoang Tuy
      Pages 219-285
    4. Reiner Horst, Hoang Tuy
      Pages 286-370
    5. Reiner Horst, Hoang Tuy
      Pages 371-433
    6. Reiner Horst, Hoang Tuy
      Pages 434-501
  4. General Nonlinear Problems

    1. Front Matter
      Pages 503-503
    2. Reiner Horst, Hoang Tuy
      Pages 505-586
    3. Reiner Horst, Hoang Tuy
      Pages 587-655
  5. Back Matter
    Pages 657-696

About this book

Introduction

The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years ago would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro­ perties. Aside from a coherent view of the field much new material is presented. By definition, a multiextremal global optimization problem seeks at least one global minimizer of a real-valued objective function that possesses different local n minimizers. The feasible set of points in IR is usually determined by a system of inequalities. It is well known that in practically all disciplines where mathematical models are used there are many real-world problems which can be formulated as multi extremal global optimization problems.

Keywords

Decision Theory Entscheidungstheorie Globale Optimierung Mathematical Programming Mathematische Programmierung Optimierung algorithm algorithms global optimization optimization system

Authors and affiliations

  • Reiner Horst
    • 1
  • Hoang Tuy
    • 2
  1. 1.Department of MathematicsUniversity of TrierTrierGermany
  2. 2.Institute of MathematicsVien Toan HocHanoiVietnam

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02598-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-02600-7
  • Online ISBN 978-3-662-02598-7
  • About this book