Ebook: Multicriteria Design: Optimization and Identification

This book is devoted to the PSI method. Its appearance was a reaction to the unsatisfactory situation in applications of optimization methods in engineering. After comprehensive testing of the PSI method in various fields of machine engineering it has become obvious that this method substantially surpasses all other available techniques in many respects. It has now become known that the PSI method is successfully used not only in machine design, at which it was initially aimed, but also in polymer chemistry, pharmacy, nuclear energy, biology, geophysics, and many other fields of human activity. To all appearances this method has become so popular for its potential of taking into account the specific features of applied optimization better than other methods, being, at the same time, comparatively simple and friendly, and because, unlike traditional optimization methods which are intended only for searching for optimal solutions, the PSI method is also aimed at correctly formulating engineering optimization problems. One well-known aircraft designer once said, "To solve an optimization problem in engineering means, first of all, to be able to state this problem properly". In this sense the PSI method has no competitors. Although this method has been presented in Russia in numerous papers and books, Western readers have had the opportunity to familiarize themselves with this method only recently (Ozernoy 1988; Lieberman 1991; Stadler and Dauer 1992; Dyer, Fishburn, Steuer, Wallenius, and Zionts 1992; Steuer and Sun 1995, etc. ).

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This book presents the fundamentals of the Parameter Space Investigation method for the statement and solution of optimization problems, a powerful new tool for multicriteria optimization in engineering. Unlike the majority of other optimization techniques, the PSI method combines the formation of the set of feasible solutions, the sensitivity analysis of performance criteria, and optimization.
The PSI method is original. It offers designers an instrument which enables the construction of the feasible solution set with allowance for any number of performance criteria, to select Edgeworth-Pareto optimal solutions which cannot be improved in all performance criteria simultaneously, to find relationships between different performance criteria and between the criteria and the design variables, and to correct the mathematical model of the object to be designed if necessary.
A distinctive feature of this volume is that it contains a number of essays by leading specialists from various industries in which the PSI method has been successfully applied. The work is richly illustrated with numerous examples.
Audience: This volume will be of interest to research workers and graduate students who work in the field of aerospace engineering, mechanics, electrical and electronic engineering, mechanical engineering and the mathematics of engineering.

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This book presents the fundamentals of the Parameter Space Investigation method for the statement and solution of optimization problems, a powerful new tool for multicriteria optimization in engineering. Unlike the majority of other optimization techniques, the PSI method combines the formation of the set of feasible solutions, the sensitivity analysis of performance criteria, and optimization.
The PSI method is original. It offers designers an instrument which enables the construction of the feasible solution set with allowance for any number of performance criteria, to select Edgeworth-Pareto optimal solutions which cannot be improved in all performance criteria simultaneously, to find relationships between different performance criteria and between the criteria and the design variables, and to correct the mathematical model of the object to be designed if necessary.
A distinctive feature of this volume is that it contains a number of essays by leading specialists from various industries in which the PSI method has been successfully applied. The work is richly illustrated with numerous examples.
Audience: This volume will be of interest to research workers and graduate students who work in the field of aerospace engineering, mechanics, electrical and electronic engineering, mechanical engineering and the mathematics of engineering.
Content:
Front Matter....Pages i-xvi
On a Highly Widespread Class of Engineering Optimization Problems....Pages 1-13
How to Help the Designer Formulate a Multicriteria Optimization Problem....Pages 15-35
Multicriteria Analysis in Optimal Design....Pages 37-56
Multicriteria Approaches in Mechanical Engineering....Pages 57-110
Multicriteria Optimization of Large-Scale Systems....Pages 111-142
Multicriteria Identification....Pages 143-172
Optimal Design and Multicriteria Control....Pages 173-189
Instead of an Epilogue....Pages 190-190
Back Matter....Pages 191-206

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This book presents the fundamentals of the Parameter Space Investigation method for the statement and solution of optimization problems, a powerful new tool for multicriteria optimization in engineering. Unlike the majority of other optimization techniques, the PSI method combines the formation of the set of feasible solutions, the sensitivity analysis of performance criteria, and optimization.
The PSI method is original. It offers designers an instrument which enables the construction of the feasible solution set with allowance for any number of performance criteria, to select Edgeworth-Pareto optimal solutions which cannot be improved in all performance criteria simultaneously, to find relationships between different performance criteria and between the criteria and the design variables, and to correct the mathematical model of the object to be designed if necessary.
A distinctive feature of this volume is that it contains a number of essays by leading specialists from various industries in which the PSI method has been successfully applied. The work is richly illustrated with numerous examples.
Audience: This volume will be of interest to research workers and graduate students who work in the field of aerospace engineering, mechanics, electrical and electronic engineering, mechanical engineering and the mathematics of engineering.
Content:
Front Matter....Pages i-xvi
On a Highly Widespread Class of Engineering Optimization Problems....Pages 1-13
How to Help the Designer Formulate a Multicriteria Optimization Problem....Pages 15-35
Multicriteria Analysis in Optimal Design....Pages 37-56
Multicriteria Approaches in Mechanical Engineering....Pages 57-110
Multicriteria Optimization of Large-Scale Systems....Pages 111-142
Multicriteria Identification....Pages 143-172
Optimal Design and Multicriteria Control....Pages 173-189
Instead of an Epilogue....Pages 190-190
Back Matter....Pages 191-206
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