Hypervolume-based multiobjective optimization: Theoretical foundations and practical implications
نویسندگان
چکیده
منابع مشابه
Hypervolume-based multiobjective optimization: Theoretical foundations and practical implications
In recent years, indicator-based evolutionary algorithms, allowing to implicitly incorporate user preferences into the search, have become widely used in practice to solve multiobjective optimization problems. When using this type of methods, the optimization goal changes from optimizing a set of objective functions simultaneously to the singleobjective optimization goal of finding a set of μ p...
متن کاملHypervolume based metaheuristics for multiobjective optimization
The purpose of multiobjective optimization is to find solutions that are optimal regarding several goals. In the branch of vector or Pareto optimization all these goals are considered to be of equal importance, so that compromise solutions that cannot be improved regarding one goal without deteriorating in another are Paretooptimal. A variety of quality measures exist to evaluate approximations...
متن کاملHypervolume-Based Search for Multiobjective Optimization: Theory and Methods
xi Zusammenfassung xiii Statement of Contributions xv Acknowledgments xvii List of Symbols and Abbreviations xvii Introduction . Introductory Example . . . . . . . . . . . . . . . . . . . . . . . . .. Multiobjective Problems . . . . . . . . . . . . . . . . . . . .. Selecting the Best Solutions . . . . . . . . . . . . . . . . . .. The Hypervolume Indicator . . . . . . . . . ...
متن کاملUsing Comparative Preference Statements in Hypervolume-Based Interactive Multiobjective Optimization
The objective functions in multiobjective optimization problems are often non-linear, noisy, or not available in a closed form and evolutionary multiobjective optimization (EMO) algorithms have been shown to be well applicable in this case. Here, our objective is to facilitate interactive decision making by saving function evaluations outside the “interesting” regions of the search space within...
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Recently, there has been a large interest in set-based evolutionary algorithms for multi objective optimization. They are based on the definition of indicators that characterize the quality of the current population while being compliant with the concept of Pareto-optimality. It has been shown that the hypervolume indicator, which measures the dominated volume in the objective space, enables th...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2012
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2011.03.012