The second edition of this book provides the necessary mathematical foundation of multicriteria optimization to solve nonlinear, linear and combinatorial problems with multiple criteria. Motivational examples illustrate the use of multicriteria optimization in practice. Numerous illustrations and exercises as well as an extensive bibliography are provided. In this new edition, a chapter on optimality conditions has been added. The linear programming part has been extended and includes new developments. And motivational examples have been added to the majority of chapters.
Klappentext
- Collection of results of multicriteria optimization, including nonlinear, linear and combinatorial optimization problems
- Includes numerous illustrations, examples and problems
Inhalt
Efficiency and Nondominance.- The Weighted Sum Method and Related Topics.- Scalarization Techniques.- Other Definitions of Optimality - Nonscalarizing Methods.- Introdcution to Multicriteria Linear Programming.- A Multiobjective Simplex Method.- Multiobjective Combinatorial Optimization.- Multiobjective Versions of Polynomially Solvable Problems.- Multiobjective Versions of Some NP-Hard Problems.