ISPAES: A new evolutionary algorithm for the optimization of one or many objective functions with constrains. (Un nuevo algoritmo evolutivo para la optimización de una o varias funciones objetivo sujetas a restricciones.) (Spanish. English summary) Zbl 1077.74038

Botello, Salvador; Hernández, Arturo; Lizárraga, Giovanni; Coello, Carlos

Rev. Int. Métod. Numér. Cálc. Diseño Ing. 20, No. 2, 139-167 (2004).

Summary: We introduce a new evolutionary algorithm with constraint handling for single and multiple objective optimization. The proposed algorithm uses a grid to keep population diversity in a similar way PAES does it, but here the grid is adaptable, this is, its size changes accordingly to the constraints and adapts to the search space once the population reaches the feasible region. This adaptable mechanism has proven very powerful for approaching the true Pareto front, either in problems with one objective or many objectives with constraints. Several truss optimization problems subject to axial loads are solved to show the potential and robustness of the algorithm.

MSC:

74P10	Optimization of other properties in solid mechanics
74K10	Rods (beams, columns, shafts, arches, rings, etc.)
65K10	Numerical optimization and variational techniques
92D99	Genetics and population dynamics

Keywords:

Pareto front; truss optimization

Software:

ISPAES