Abstract
A double particle swarm optimization (DPSO), in which MPSO proposed by Sun et al. [1] is used as a global search algorithm and PSO with feasibility-based rules is used to do local searching, is proposed in this paper to solve mixed-variable optimization problems. MPSO can solve the non-continuous variables very well. However, the imprecise values of continuous variables brought the inconsistent results of each run. A particle swarm optimization with feasibility-based rules is proposed to find optimal values of continuous variables after the MPSO algorithm finishes each independent run, in order to obtain the consistent optimal results for mixed-variable optimization problems. The performance of DPSO is evaluated against two real-world mixed-variable optimization problems, and it is found to be highly competitive compared with other existing algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Sun, C., Zeng, J., Pan, J.: A modified particle swarm optimization with feasibility-based rules for mixed-variable optimization problems. International Journal of Innovative Computing, Information and Control 7(6), 3081–3096 (2011)
Land, A.M., Doig, A.G.: An automatic method of solving discrete programming problems. Econometrica 26, 497–520 (1960)
Bremicher, M., Papalambros, P.Y., Loh, H.T.: Solution of mixed-discrete structural optimization problems with a new sequential linearization algorithm. Computers & Structures 37(4), 451–461 (1990)
Praharah, S., Azarm, S.: Two-Level Nonlinear Mixed Discrete-Continuous Optimization-Based Design: An Application to Printed Circuit Board Assemblies. Journal of Electronic Packaging 114, 425–435 (1992)
Rao, S.S., Xiong, Y.: A Hybrid Genetic Algorithm for Mixed-Discrete Design Optimization. Transactions of the ASME 127, 1100–1112 (2005)
Lampinen, J., Zelinka, I.: Mixed Integer-Discrete-Continuous Optimization By Differential Evolution - Part 2: a practical example. In: Proceedings of MENDEL 1999, 5th International Mendel Conference on Soft Computing, pp. 77–81 (1999)
Lampinen, J., Zelinka, I.: Mixed integer-discrete-continuous optimization by differential evolution. Part 1: the optimization method. In: Proceedings of MENDEL 1999, 5th International Mendel Conference on Soft Computing, pp. 71–76 (1999)
Kitayama, S., Arakawa, M., Yamazaki, K.: Penalty function approach for the mixed discrete nonlinear problems by particle swarm optimization. Struct. Multidisc. Optim. 32, 191–202 (2006)
Nema, S., et al.: A Hybrid Particle Swarm Branch-and-Bound (HPB) Optimizer for Mixed Discrete Nonliear Programming. IEEE Transactions on Systems, Man and Cybernetics–Part A: Systems and Humans 38(6), 1411–1424 (2008)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proc. IEEE Int’l. Conf. on Neural Networks, pp. 1942–1948 (1995)
Eberhart, R., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science, pp. 39–43 (1995)
Hsu, C.-H., Shyr, W.-J., Kuo, K.-H.: Optimizing Multiple Interference Cancell-ations of Linear Phase Array Based on Particle swarm Optimization. Journal of Information Hiding and Multimedia Signal Processing 1(4), 292–300 (2010)
Pulido, G.T., Coello, C.A.C.: A constraint-handling mechanism for particle swarm optimization. In: Congress on Evolutionary Computation (2004)
Sandgren, E.: Nonlinear integer and discrete programming in mechanical design optimization. Journal of Mechanical Design 112(2), 223–229 (1990)
Cao, Y., Wu, Q.: A mixed variable evolutionary programming for optimisation of mechanical design. Int. J. Eng. Intell. Syst. Electic. Eng. Commun. 7(2), 77–82 (1999)
Deb, K.: Gene AS: A robust optimal design technique for mechanical component design. Springer, Heidelberg (1997)
Coello, C.A.C., Montes, E.M.: Use of Dominance-Based Tournament Selection to Handle Constraints in Genetic Algorithms. In: Intelligent Engineering Systems through Artificial Neural Networks (ANNIE 2001), pp. 177–182 (2001)
He, S., Prempain, E., Wu, Q.H.: An improved particle swarm optimizer for mechanical design optimization problems. Engineering Optimization 36(5), 585–605 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sun, C., Zeng, J., Pan, J., Chu, S., Zhang, Y. (2011). A Double Particle Swarm Optimization for Mixed-Variable Optimization Problems. In: Katarzyniak, R., Chiu, TF., Hong, CF., Nguyen, N.T. (eds) Semantic Methods for Knowledge Management and Communication. Studies in Computational Intelligence, vol 381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23418-7_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-23418-7_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23417-0
Online ISBN: 978-3-642-23418-7
eBook Packages: EngineeringEngineering (R0)