Essays and Surveys in Global Optimization

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Global optimization aims at solving the most general problems of deterministic mathematical programming. In addition, once the solutions are found, this methodology is also expected to prove their optimality. With these difficulties in mind, global optimization is becoming an increasingly powerful and important methodology. This book is the most recent examination of its mathematical capability, power, and wide ranging solutions to many fields in the applied sciences.
Foreword.- Avant-propos.- Contributing Authors.- Preface.- Unilaterial Analysis and Duality.- Monotonic Optimization: Branch and Cut Methods.- Duality Bound Methods in Global Optimization.- General Quadratic Programming.- On Solving Polynomial, Factorable, and Black-box Optimization Problems Using the RLT Methodology.- Bilevel Programming.- Applications of Global Optimization to Portfolio Analysis.- Optimization Techniques in Medicine.- Global Optimization in Geometry - Circle Packing into the Square.- A Deterministic Global Optimization Algorithm for Design Problems.
Global optimization aims at solving the most general problems of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addition, once the solutions are found, proof of its optimality is also expected from this methodology. Therefore, with these difficulties in mind, global optimization is becoming an increasingly powerful and important methodology. Essays and Surveys in Global Optimization is the most recent examination of its mathematical capability, power, and wide ranging solutions to many fields in the applied sciences.
Editiert von: Charles Audet, Jean-Pierre Hansen, Gilles Savard
InhaltsangabeForeword.- Avant-propos.- Contributing Authors.- Preface.- Unilaterial Analysis and Duality.- Monotonic Optimization: Branch and Cut Methods.- Duality Bound Methods in Global Optimization.- General Quadratic Programming.- On Solving Polynomial, Factorable, and Black-box Optimization Problems Using the RLT Methodology.- Bilevel Programming.- Applications of Global Optimization to Portfolio Analysis.- Optimization Techniques in Medicine.- Global Optimization in Geometry - Circle Packing into the Square.- A Deterministic Global Optimization Algorithm for Design Problems.
Autor: Charles Audet
ISBN-13:: 9780387255699
ISBN: 0387255699
Erscheinungsjahr: 01.05.2005
Verlag: Springer-Verlag GmbH
Gewicht: 643g
Seiten: 294
Sprache: Englisch
Sonstiges: Buch, 243x165x23 mm, 15 schwarz-weiße Abbildungen, 15 schwarz-weiße Zeichnungen, 4 schwarz-weiße Tabellen