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Nonlinear Multiobjective Optimization (International Series in Operations Research & Management Science)

by Kaisa Miettinen

ISBN-10: 9780792382782
ISBN-10: 0-7923-8278-1
ISBN-13: 9780792382782
ISBN-13: 978-0-7923-8278-2
Hardcover
1998-09-30
Springer


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Editorials


Product Description
Problems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools for nonlinear programming capable of handling several conflicting or incommensurable objectives. In this case, methods of traditional single objective optimization and linear programming are not enough; we need new ways of thinking, new concepts, and new methods - nonlinear multiobjective optimization.
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.

Reviews


Valuable reference for nonlinear optimisation
As a Grad Student , involved in Research work related to Multiobjective NonLinear programming this book has been found to be very useful in its coverage of the theory that one needs to possess to carry on this work.The good thing about it is that it addresses the Discrete world of mathematics also which gives the researcher a broader understanding.It is also nice to have one single book concentrating on various aspects on how to generate Pareto Optima solutions rather than having to go back and read up a number of papers and still be unclear about the subject.All statements are supported with proofs and that makes this a comprehensive and dependable reference.I would like to congratulate the author Dr.Meittinnen for his work and wish him good luck for all other works too.


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