Nonlinear multiobjective optimization

Description

Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well recognized results of variational analysis and optimization, the book includes a number of new and important onesIncludes practical examples Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey and review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. 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 is to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. The extensive bibliography will be of value to researchers.  Read more... Preface. Acknowledgements. Notation and Symbols. Part I: Terminology and Theory. 1. Introduction. 2. Concepts. 3. Theoretical Background. Part II: Methods. 1. Introduction. 2. No-Preference Methods. 3. A Posteriori Methods. 4. A Priori Methods. 5. Interactive Methods. Part III: Related Issues. 1. Comparing Methods. 2. Software. 3. Graphical Illustration. 4. Future Directions. 5. Epilogue. References. Index