A tutorial on multiobjective optimization: fundamentals and evolutionary methods
MTM Emmerich, AH Deutz - Natural computing, 2018 - Springer
In almost no other field of computer science, the idea of using bio-inspired search paradigms
has been so useful as in solving multiobjective optimization problems. The idea of using a …
has been so useful as in solving multiobjective optimization problems. The idea of using a …
Multiobjective evolutionary algorithms: A survey of the state of the art
A multiobjective optimization problem involves several conflicting objectives and has a set of
Pareto optimal solutions. By evolving a population of solutions, multiobjective evolutionary …
Pareto optimal solutions. By evolving a population of solutions, multiobjective evolutionary …
Indicator-based multi-objective evolutionary algorithms: A comprehensive survey
JG Falcón-Cardona, CAC Coello - ACM Computing Surveys (CSUR), 2020 - dl.acm.org
For over 25 years, most multi-objective evolutionary algorithms (MOEAs) have adopted
selection criteria based on Pareto dominance. However, the performance of Pareto-based …
selection criteria based on Pareto dominance. However, the performance of Pareto-based …
HypE: An algorithm for fast hypervolume-based many-objective optimization
In the field of evolutionary multi-criterion optimization, the hypervolume indicator is the only
single set quality measure that is known to be strictly monotonic with regard to Pareto …
single set quality measure that is known to be strictly monotonic with regard to Pareto …
A review of multiobjective test problems and a scalable test problem toolkit
S Huband, P Hingston, L Barone… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
When attempting to better understand the strengths and weaknesses of an algorithm, it is
important to have a strong understanding of the problem at hand. This is true for the field of …
important to have a strong understanding of the problem at hand. This is true for the field of …
SMS-EMOA: Multiobjective selection based on dominated hypervolume
N Beume, B Naujoks, M Emmerich - European Journal of Operational …, 2007 - Elsevier
The hypervolume measure (or S metric) is a frequently applied quality measure for
comparing the results of evolutionary multiobjective optimisation algorithms (EMOA). The …
comparing the results of evolutionary multiobjective optimisation algorithms (EMOA). The …
A faster algorithm for calculating hypervolume
We present an algorithm for calculating hypervolume exactly, the Hypervolume by Slicing
Objectives (HSO) algorithm, that is faster than any that has previously been published. HSO …
Objectives (HSO) algorithm, that is faster than any that has previously been published. HSO …
A fast way of calculating exact hypervolumes
We describe a new algorithm WFG for calculating hypervolume exactly. WFG is based on
the recently-described observation that the exclusive hypervolume of a point p relative to a …
the recently-described observation that the exclusive hypervolume of a point p relative to a …
Theory of randomized search heuristics: Foundations and recent developments
Randomized search heuristics such as evolutionary algorithms, genetic algorithms,
evolution strategies, ant colony and particle swarm optimization turn out to be highly …
evolution strategies, ant colony and particle swarm optimization turn out to be highly …
On the complexity of computing the hypervolume indicator
N Beume, CM Fonseca, M Lopez-Ibanez… - IEEE Transactions …, 2009 - ieeexplore.ieee.org
The goal of multiobjective optimization is to find a set of best compromise solutions for
typically conflicting objectives. Due to the complex nature of most real-life problems, only an …
typically conflicting objectives. Due to the complex nature of most real-life problems, only an …