title: Comparing evolutionary strategies on a biobjective cultural algorithm.
abstract: Evolutionary algorithms have been widely used to solve large and complex optimisation problems. Cultural algorithms (CAs) are evolutionary algorithms that have been used to solve both single and, to a less extent, multiobjective optimisation problems. In order to solve these optimisation problems, CAs make use of different strategies such as normative knowledge, historical knowledge, circumstantial knowledge, and among others. In this paper we present a comparison among CAs that make use of different evolutionary strategies; the first one implements a historical knowledge, the second one considers a circumstantial knowledge, and the third one implements a normative knowledge. These CAs are applied on a biobjective uncapacitated facility location problem (BOUFLP), the biobjective version of the well-known uncapacitated facility location problem. To the best of our knowledge, only few articles have applied evolutionary multiobjective algorithms on the BOUFLP and none of those has focused on the impact of the evolutionary strategy on the algorithm performance. Our biobjective cultural algorithm, called BOCA, obtains important improvements when compared to other well-known evolutionary biobjective optimisation algorithms such as PAES and NSGA-II. The conflicting objective functions considered in this study are cost minimisation and coverage maximisation. Solutions obtained by each algorithm are compared using a hypervolume S metric.
authors.affiliation: Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, Chile.
authors.forename: Carolina
authors.initials: C
authors.lastname: Lagos
authors.affiliation: Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, Chile ; Universidad Finis Terrae, 7500000 Santiago, Chile.
authors.forename: Broderick
authors.initials: B
authors.lastname: Crawford
authors.affiliation: CIMFAV Facultad de Ingeniería, Universidad de Valparaíso, 2362735 Valparaíso, Chile.
authors.forename: Enrique
authors.initials: E
authors.lastname: Cabrera
authors.affiliation: Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, Chile ; Universidad Autónoma de Chile, 7500138 Santiago, Chile.
authors.forename: Ricardo
authors.identifier: 0000-0002-5755-6929
authors.initials: R
authors.lastname: Soto
authors.affiliation: Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, Chile ; Departamento de Computación e Informática, Universidad de Playa Ancha, 33449 Valparaíso, Chile.
authors.forename: José-Miguel
authors.initials: JM
authors.lastname: Rubio
authors.affiliation: Escuela de Ingeniería Industrial, Universidad Diego Portales, 8370109 Santiago, Chile.
authors.forename: Fernando
authors.initials: F
authors.lastname: Paredes
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003661:Decision Support Techniques; D008962:Models, Theoretical; D015203:Reproducibility of Results