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

OAI: https://www.revistas.ucr.ac.cr/index.php/matematica/oai
Portfolio Optimization Using Particle Swarms with Stripes
PDF (Español (España))

Keywords

Portfolio optimization
particle swarm optimization
multiobjetive
optimization
Optimización de portafolios
optimización por enjambre de partículas
multiobjetivo
optimización

How to Cite

Villalobos-Arias, M. (2009). Portfolio Optimization Using Particle Swarms with Stripes. Revista De Matemática: Teoría Y Aplicaciones, 16(2), 205–220. https://doi.org/10.15517/rmta.v16i2.301

Abstract

In this paper it is consider the Portfolio Optimization Problem developed by Markowitz [11]. The basic assumption is that the investor tries to maximize his/her profit and at the same time, wants to minimize the risk. This problem is usually solved using a scalarization approach (with one objective). Here it is solved it as a bi-objective  optimization problem. It uses a new version of the algorithm of Particle Swarm Optimization for Multi-Objective Problems to which it implemented a method of the stripes to improve dispersion.

https://doi.org/10.15517/rmta.v16i2.301
PDF (Español (España))

References

Coello, C.A.; Van Veldhuizen, D.A.; Lamont, G.B.(2002) Evolutionary Algorithms for Solving Multi-Objective Problems. Kluwer Academic Publishers, New York.

Coello, C.A.; Toscano, G.; Salazar, M. (2004) “Handling multiple objectives with particle swarm optimization”, IEEE Transactions on Evolutionary Computation 8(3): 256–279.

Dasgupta, D. (1999) Artificial Immune Systems and Their Applications. Springer-Verlag, Berlin.

Deb, K. (2001) Multi-Objective Optimization using Evolutionary Algorithms. John Wiley & Sons, Chichester.

Deb, K.; Pratap, A.; Agarwal, S.; Meyarivan, T. (2002) “A fast and elitist multiobjective genetic algorithm: NSGA–II”, IEEE Transactions on Evolutionary Computation 6(2): 182–197.

Fonseca, C.M.; Fleming, P.J. (1997) “Multiobjective optimization”, in: T. Bäck, D. B. Fogel, & Z. Michalewicz (Eds.) Handbook of Evolutionary Computation, Oxford University Press: 1: C4.5:1–C4.5:9.

Hui, X.; Eberhart, R.C.; Shi, Y. (2003) “Particle swarm with extended memory for multiobjective optimization”, in: 2003 IEEE Swarm Intelligence Symposium Proceedings, IEEE Service Center, Indianapolis IN: 193–197.

Kennedy, J.; Eberhart, R.C. (1995) “Particle swarm optimization”, in: Proc. IEEE Int. Conf. Neural Networks, Piscataway NJ: 1942–1948.

Kennedy, J.; Eberhart, R.C.(2001) Swarm Intelligence. Morgan Kaufmann Publishers, San Francisco CA.

Korn, R. and Korn, E. (2000) Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics, Graduate Studies in Mathematics 31. American Mathematical Society, Providence RI.

Markowitz, H.M. (1952) “Portfolio selection”, Journal of Finance 7(1):77–91.

Miettinen, K.M. (1998) Nonlinear Multiobjective Optimization. Kluwer Academic Publishers, Boston MS.

Ulungu, E.L. (1993) Optimisation Combinatoire Multicritère: Determination de l’Ensemble des Solutions Efficaces et Méthodes Interactives. Ph.D. thesis, Faculté des Sciences, Université de Mons-Hainaut, Mons, Belgium.

Villalobos-Arias, M. (2005) Análisis de Heurísticas de Optimización para Problemas Multiobjetivo. Ph.D. thesis, Departamento de Matemáticas, Cinvestav, México D.F., México.

Comments

Downloads

Download data is not yet available.