Essays and Surveys in Global Optimization için kapak resmi
Başlık:
Essays and Surveys in Global Optimization
Dil:
English
ISBN:
9780387255705
Yayın Bilgileri:
Boston, MA : Springer US, 2005.
Fiziksel Tanımlama:
XIV, 294 p. online resource.
İçerik:
Unilateral 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.
Özet:
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.

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Özet

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.


İçindekiler

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