Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey, review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. The amount of literature on multiobjective optimization is immense. The treatment in this book is based on approximately 1500 publications in English printed mainly after the year 1980.
Problems related to real-life applications often contain irregularities and nonsmoothnesses. The treatment of nondifferentiable multiobjective optimization in the literature is rather rare. For this reason, this book contains material about the possibilities, background, theory and methods of nondifferentiable multiobjective optimization as well.
This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields of application. The intention has been to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. It is hoped the extensive bibliography will be of value to researchers.
PREFACE | xiii | |
ACKNOWLEDGEMENTS | xix | |
NOTATION AND SYMBOLS | xxi | |
Part I TERMINOLOGY AND THEORY | ||
1. INTRODUCTION | 3 | |
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3. THEORETICAL BACKGROUND | 37 | |
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Part II METHODS | ||
1. INTRODUCTION | 61 | |
2. NO-PREFERENCE METHODS | 67 | |
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3. A POSTERIORI METHODS | 77 | |
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4. A PRIORI METHODS | 115 | |
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5. INTERACTIVE METHODS | 131 | |
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Part III RELATED ISSUES | ||
1. COMPARING METHODS | 217 | |
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2. SOFTWARE | 233 | |
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3. GRAPHICAL ILLUSTRATION | 239 | |
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4. FUTURE DIRECTIONS | 251 | |
5. EPILOGUE | 255 | |
REFERENCES | 257 | |
INDEX | 293 | |
Kluwer's
International Series in Operations Research & Management Science,
Volume 12
ISBN 0-7923-8278-1
Kaisa Miettinen, miettine@mit.jyu.fi