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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433


MORA-GUTIERREZ, Roman Anselmo et al. An optimization algorithm inspired by musical composition in constrained optimization problems. Rev. Mat [online]. 2013, vol.20, n.2, pp.183-202. ISSN 1409-2433.

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.

Keywords : Constrained nonlinear optimization; metaheuristics; cultural algorithms; system socio-cultural of creativity; musical composition.

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