Recent Advances in Multiobjective Optimization

Multiobjective (or multicriteria) optimization is a research area with rich history and under heavy investigation within Operations Research and Economics in the last 60 years [1,2]. Its object of study is to investigate solutions to combinatorial optimization problems that are evaluated under several objective functions – typically defined on multidimensional attribute (cost) vectors. In multiobjective optimization, we are interested not in finding a single optimal solution, but in computing the trade-off among the different objective functions, called the Pareto set (or curve)${\mathcal P}$, which is the set of all feasible solutions whose vector of the various objectives is not dominated by any other solution.