A New Multi-objective Optimization Algorithm inspired by Lichtenberg Figures Applied to Constrained Mechanical Engineering Problems
Palavras-chave:
Optimization, Meta-heuristics, Lichtenberg Figures, Diffusion Limited AggregationResumo
The optimization problems that must meet more than one objective are called multi-objective
optimization problems and may present several optimal solutions. Classic optimization methods had their
importance in the past, but they lost space for new algorithms that emerged with the advancement of computing,
better able to deal with a greater number of variables, objectives and nonlinearities. Evolutionary and meta-
heuristic algorithms are exponents in the literature as the main tool for solving complex multi-objective
problems. This work presents the first multi-objective meta-heuristic registered as a computer program in Brazil.
The Multi-objective Lichtenberg Algorithm is an optimizer inspired by the physical phenomenon of radial intra-
cloud lightning and Lichtenberg Figures. The algorithm is tested and compared with other renowned algorithms
(MOPSO and NSGA-II) in some Zitzler-Deb-Thiele test functions and is finally applied to constrained and
unconstrained engineering problems: Welded Beam Design, Disc Brake and 4-bar-truss. MOLA proved to be a
promising multi-objective optimization algorithm surpassing today's most renowned algorithms.
The optimization problems that must meet more than one objective are called multi-objective
optimization problems and may present several optimal solutions. Classic optimization methods had their
importance in the past, but they lost space for new algorithms that emerged with the advancement of computing,
better able to deal with a greater number of variables, objectives and nonlinearities. Evolutionary and meta-
heuristic algorithms are exponents in the literature as the main tool for solving complex multi-objective
problems. This work presents the first multi-objective meta-heuristic registered as a computer program in Brazil.
The Multi-objective Lichtenberg Algorithm is an optimizer inspired by the physical phenomenon of radial intra-
cloud lightning and Lichtenberg Figures. The algorithm is tested and compared with other renowned algorithms
(MOPSO and NSGA-II) in some Zitzler-Deb-Thiele test functions and is finally applied to constrained and
unconstrained engineering problems: Welded Beam Design, Disc Brake and 4-bar-truss. MOLA proved to be a
promising multi-objective optimization algorithm surpassing today's most renowned algorithms.
