Multicriteria Optimization

Decision makers in many areas, from industry to engineering and the social sector, face an increasing need to consider multiple, conflicting objectives in their decision processes. In many cases these real world decision problems can be formulated as multicriteria mathematical optimization models. The solution of such models requires appropriate techniques to compute so called efficient, or Pareto optimal, or compromise solutions that - unlike traditional mathematical programming methods - take the contradictory nature of the criteria into account. 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 the new editiona chapter on optimality conditions has been added. The linear programming part has been extended andincludesnew developments. Moreover,motivational examples are nowintroducing the majority ofchapters. TOC:Multicriteria Optimization:Introduction.-Efficient Solutions and Nondominated Points.- Optimality Conditions.-Weighted Sum Scalarization.-Other Scalarization Methods.-Nonscalarizing Techniques.-Multiobjective Linear Programming:Introduction.- Simplex Based Techniques.-Solving MOLPs in Objective Space.-Other Methods.- Multiobjective Combinatorial Optimization:Introduction.-General Purpose Methods.- Special Purpose Methods.-(Meta)Heuristics