Global Optimization with Non-Convex Constraints: Sequential and Parallel Algorit

Description: Global Optimization with Non-Convex Constraints by Roman G. Strongin, Yaroslav D. Sergeyev Everything should be made as simple as possible, but not simpler. (Albert Einstein, Readers Digest, 1977) The modern practice of creating technical systems and technological processes of high effi.ciency besides the employment of new principles, new materials, new physical effects and other new solutions ( which is very traditional and plays the key role in the selection of the general structure of the object to be designed) also includes the choice of the best combination for the set of parameters (geometrical sizes, electrical and strength characteristics, etc.) concretizing this general structure, because the Variation of these parameters ( with the structure or linkage being already set defined) can essentially affect the objective performance indexes. The mathematical tools for choosing these best combinations are exactly what is this book about. With the advent of computers and the computer-aided design the proÂ bations of the selected variants are usually performed not for the real examples ( this may require some very expensive building of sample opÂ tions and of the special installations to test them ), but by the analysis of the corresponding mathematical models. The sophistication of the mathematical models for the objects to be designed, which is the natuÂ ral consequence of the raising complexity of these objects, greatly comÂ plicates the objective performance analysis. Today, the main (and very often the only) available instrument for such an analysis is computerÂ aided simulation of an objects behavior, based on numerical experiments with its mathematical m FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Everything should be made as simple as possible, but not simpler. (Albert Einstein, Readers Digest, 1977) The modern practice of creating technical systems and technological processes of high effi.ciency besides the employment of new principles, new materials, new physical effects and other new solutions ( which is very traditional and plays the key role in the selection of the general structure of the object to be designed) also includes the choice of the best combination for the set of parameters (geometrical sizes, electrical and strength characteristics, etc.) concretizing this general structure, because the Variation of these parameters ( with the structure or linkage being already set defined) can essentially affect the objective performance indexes. The mathematical tools for choosing these best combinations are exactly what is this book about. With the advent of computers and the computer-aided design the pro bations of the selected variants are usually performed not for the real examples ( this may require some very expensive building of sample op tions and of the special installations to test them ), but by the analysis of the corresponding mathematical models. The sophistication of the mathematical models for the objects to be designed, which is the natu ral consequence of the raising complexity of these objects, greatly com plicates the objective performance analysis. Today, the main (and very often the only) available instrument for such an analysis is computer aided simulation of an objects behavior, based on numerical experiments with its mathematical model. Table of Contents Preface. Acknowledgements. Part One: Global Optimization Algorithms as Decision Procedures. Theoretical Background and Core Univariate Case. 1. Introduction. 2. Global Optimization Algorithms as Statistical Decision Procedures - The Information Approach. 3. Core Global Search Algorithm and Convergence Study. 4. Global Optimization Methods as Bounding Procedures - The Geometric Approach. Part Two: Generalizations for Parallel Computing, Constrained and Multiple Criteria Problems. 5. Parallel Global Optimization Algorithms and Evaluation of the Efficiency of Parallelism. 6. Global Optimization under Non-Convex Constraints - The Index Approach. 7. Algorithms for Multiple Criteria Multiextremal Problems. Part Three: Global Optimization in Many Dimensions. Generalizations through Peano Curves. 8. Peano-Type Space-Filling Curves as Means for Multivariate Problems. 9. Multidimensional Parallel Algorithms. 10. Multiple Peano Scannings and Multidimensional Problems. References. List of Algorithms. List of Figures. List of Tables. Index. Promotional Springer Book Archives Long Description Everything should be made as simple as possible, but not simpler. (Albert Einstein, Readers Digest, 1977) The modern practice of creating technical systems and technological processes of high effi.ciency besides the employment of new principles, new materials, new physical effects and other new solutions ( which is very traditional and plays the key role in the selection of the general structure of the object to be designed) also includes the choice of the best combination for the set of parameters (geometrical sizes, electrical and strength characteristics, etc.) concretizing this general structure, because the Variation of these parameters ( with the structure or linkage being already set defined) can essentially affect the objective performance indexes. The mathematical tools for choosing these best combinations are exactly what is this book about. With the advent of computers and the computer-aided design the pro Details ISBN1461371171 ISBN-10 1461371171 ISBN-13 9781461371175 Format Paperback Author Yaroslav D. Sergeyev Imprint Springer-Verlag New York Inc. Subtitle Sequential and Parallel Algorithms Place of Publication New York, NY Country of Publication United States DEWEY 519.3 Year 2013 Publication Date 2013-11-10 Short Title GLOBAL OPTIMIZATION W/NON-CONV Language English Media Book Series Number 45 Edition 2000th Illustrations 1 Illustrations, black and white; XXVIII, 704 p. 1 illus. Pages 704 AU Release Date 2013-11-10 NZ Release Date 2013-11-10 US Release Date 2013-11-10 UK Release Date 2013-11-10 Publisher Springer-Verlag New York Inc. Edition Description 2000 ed. Series Nonconvex Optimization and Its Applications Alternative 9780792364900 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. 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