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Nonlinear Multiobjective Optimization

  • Kaisa Miettinen

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 12)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Terminology And Theory

    1. Front Matter
      Pages 1-3
    2. Kaisa Miettinen
      Pages 5-36
    3. Kaisa Miettinen
      Pages 37-57
  3. Methods

    1. Front Matter
      Pages 59-65
    2. Kaisa Miettinen
      Pages 67-76
    3. Kaisa Miettinen
      Pages 77-113
    4. Kaisa Miettinen
      Pages 115-129
    5. Kaisa Miettinen
      Pages 131-213
  4. Related Issues

    1. Front Matter
      Pages 215-215
    2. Kaisa Miettinen
      Pages 217-231
    3. Kaisa Miettinen
      Pages 233-237
    4. Kaisa Miettinen
      Pages 239-249
    5. Kaisa Miettinen
      Pages 251-254
    6. Kaisa Miettinen
      Pages 255-256
  5. Back Matter
    Pages 257-298

About this book

Introduction

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.

Keywords

linear optimization multi-objective optimization multiple-criteria decision-making nonlinear optimization operations research optimization

Authors and affiliations

  • Kaisa Miettinen
    • 1
  1. 1.University of JyväskyläFinland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-5563-6
  • Copyright Information Kluwer Academic Publishers 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7544-9
  • Online ISBN 978-1-4615-5563-6
  • Series Print ISSN 0884-8289
  • Buy this book on publisher's site