Global Optimization. 1st ed. 1989

種類:

電子ブック

責任表示:

by Aimo Törn, Antanas Zilinskas

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989

著者名:

• Törn, Aimo.
• Zilinskas, Antanas.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Computer Science ; 350

ISBN:

9783540461036 [3540461035]    

注記:

Covering methods -- Methods of generalized descent -- Random search methods -- Clustering methods -- Methods based on statistical models of objective functions -- Miscellaneous -- Testing and applications.
Global optimization is concerned with finding the global extremum (maximum or minimum) of a mathematically defined function (the objective function) in some region of interest. In many practical problems it is not known whether the objective function is unimodal in this region; in many cases it has proved to be multimodal. Unsophisticated use of local optimization techniques is normally inefficient for solving such problems. Therefore, more sophisticated methods designed for global optimization, i.e. global optimization methods, are important from a practical point of view. Most methods discussed here assume that the extremum is attained in the interior of the region of interest, i.e., that the problem is essentially unconstrained. Some methods address the general constrained problem. What is excluded is the treatment of methods designed for problems with a special structure, such as quadratic programming with negatively quadratic forms. This book is the first broad treatment of global optimization with an ex

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