The book provides an introduction to multicriteria optimization. It covers theoretical topics such as existence of optimal solutions as well as methodological issues. A classification of multicriteria optimization problems is developed and used as a guideline throughout the book. First, fundamental solution concepts are defined and their properties and relations discussed. Then a variety of methods to find optimal solutions is described. Chapters on multicriteria linear optimization, uncommon solution concepts, and combinatorial problems conclude the book. The text contains material which cannot be found in other textbooks on the subject, because several chapters are based on new research results. It is suitable for a mathematically oriented course on multicriteria optimization. The material can be covered in the order in which it is presented, but it is also possible to select topics from various chapters. The exercises at the end of each chapter provide possibilities to practice as well as some outlooks to more general settings, when appropriate.
- ISBN10 3540678697
- ISBN13 9783540678694
- Publish Date 21 September 2000
- Publish Status Active
- Out of Print 2 June 2021
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Format Paperback
- Pages 251
- Language English