Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
An optimization algorithm inspired by musical composition in constrained optimization problems
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Keywords

Constrained nonlinear optimization
metaheuristics
cultural algorithms
system socio-cultural of creativity
musical composition
optimización no lineal con restricciones
metaheurísticas
algoritmos culturales
sistema socio-cultural de la creatividad
composición musical

How to Cite

Mora-Gutiérrez, R. A., Rincón-García, E. A., Ramírez-Rodríguez, J., Ponsich, A., Herrera-Alcántara, O., & Lara-Velázquez, P. (2013). An optimization algorithm inspired by musical composition in constrained optimization problems. Revista De Matemática: Teoría Y Aplicaciones, 20(2), 183–202. https://doi.org/10.15517/rmta.v20i2.11658

Abstract

Many real-world problems can be expressed as an instance of the constrained nonlinear optimization problem (CNOP). This problem has a set of constraints specifies the feasible solution space. In the last years several algorithms have been proposed and developed for tackling CNOP. In this paper, we present a cultural algorithm for constrained optimization, which is an adaptation of “Musical Composition Method” or MCM, which was proposed in [33] by Mora et al. We evaluated and analyzed the performance of MCM on five test cases benchmark of the CNOP. Numerical results were compared to evolutionary algorithm based on homomorphous mapping [23], Artificial Immune System [9] and anti-culture population algorithm [39]. The experimental results demonstrate that MCM significantly improves the global performances of the other tested metaheuristics on same of benchmark functions.

https://doi.org/10.15517/rmta.v20i2.11658
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