Multicriteria Optimization

The book provides an introduction to an overview of multicriteria optimization. It treats theoretical questions such as existence of opitmal solutions as well as methodological issues. The text is accompanied by exercises and many figures. A classification of multicriteria optimization problems is developed and used as a guideline. The text contains material, which cannot be found in other textbooks, because especially chapter 6 and 7 are based on new research results. As the book is suitable for a mathematically oriented course on multicriteria opimization. The material can be covered in the order in which it is presented, but it is equally 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.
TOC: Introduction.- Pareto Optimality and Efficiency.- Weighted Sum Scalarization.- Other Methods for Pareto Optimality.- Multicriteria Linear Programming.- Other Optimality Concepts.- Combinatorial Problems with Multiple Objectives