# Multicriteria Optimization

• Matthias Ehrgott
Book

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 491)

1. Front Matter
Pages I-VIII
2. Matthias Ehrgott
Pages 1-17
3. Matthias Ehrgott
Pages 19-53
4. Matthias Ehrgott
Pages 55-75
5. Matthias Ehrgott
Pages 77-102
6. Matthias Ehrgott
Pages 103-133
7. Matthias Ehrgott
Pages 135-152
8. Matthias Ehrgott
Pages 153-222
9. Back Matter
Pages 223-248

### Introduction

Life is about decisions. Decisions, no matter if made by a group or an indi­ vidual, involve several conflicting objectives. The observation that real world problems have to be solved optimally according to criteria, which prohibit an "ideal" solution - optimal for each decision-maker under each of the criteria considered - has led to the development of multicriteria optimization. From its first roots, which where laid by Pareto at the end of the 19th century the discipline has prospered and grown, especially during the last three decades. Today, many decision support systems incorporate methods to deal with conflicting objectives. The foundation for such systems is a mathematical theory of optimization under multiple objectives. Fully aware of the fact that there have been excellent textbooks on the topic before, I do not claim that this is better text, but it has a has a consid­ erably different focus. Some of the available books develop the mathematical background in great depth, such as [SNT85, GN90, Jah86). Others focus on a specific structure of the problems covered as [Zel74, Ste85, Mie99) or on methodology [Yu85, CH83a, HM79). Finally there is the area of multicriteria decision aiding [Roy96, Vin92, KR93), the main goal of which is to help deci­ sion makers find the final solution (among many "optimal" ones) eventually to be implemented.

### Keywords

Dicision Theory Entscheidungstheorie Mehrfachzielsetzung Multicriteria Decision Making Multicriteria Optimization algorithms decision making decision theory linear optimization optimization

#### Authors and affiliations

• Matthias Ehrgott
• 1
• 2
1. 1.Department of Engineering ScienceUniversity of AucklandAucklandNew Zealand
2. 2.Fachbereich MathematikUniversität KaiserslauternKaiserslauternGermany

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-662-22199-0
• Copyright Information Springer-Verlag Berlin Heidelberg 2000
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages
• Print ISBN 978-3-540-67869-4
• Online ISBN 978-3-662-22199-0
• Series Print ISSN 0075-8442
• Buy this book on publisher's site
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