Nonlinear Multiobjective Optimization (international Series In Operations Research & Management Science)
by Kaisa Miettinen /
2012 / English / PDF
25.5 MB Download
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.
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
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.
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.
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.
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.