Abstract
A metaheuristic optimization algorithm for solving multi-parameter optimization problems is presented. The algorithm is applied to a real-world problem, where the aerodynamic power efficiency of the radial impeller of a vacuum cleaner is optimized. Here, the radial impeller is presented using parametric modeling. Due to the large number of parameters and, consequently, the enormous search space, an efficient metaheuristic approach is inevitable. Therefore, the so-called Differential Ant-Stigmergy Algorithm, which is an extension of the Ant-Colony Optimization for a continuous domain, is applied. The result of this is that the aerodynamic power of the radial impeller is increased by twenty percent.
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References
Bilchev, G., Parmee, I.C.: The ant colony metaphor for searching continuous design spaces. LNCS, vol. 993, pp. 25–39. Springer, Heidelberg (1995)
Chung, T.J., T.J.: Computational Fluid Dynamics. Cambridge University Press, Cambridge (2002)
Deb, K., Anand, A., Joshi, D.: A computationally efficient evolutionary algorithm for real-parameter optimization. Evol. Comput. 10, 371–395 (2002)
Dixon, S.L.: Fluid Mechanics and Thermodynamics of Turbomachinery, 4th edn. Elsevier, Amsterdam (1998)
Dorigo, M., Stützle, T.: Ant Colony Optimization. The MIT Press, Cambridge (2004)
Dréo, J., Siarry, P.: A new ant colony algorithm using the heterarchical concept aimed at optimization of multiminima continuous functions. In: Dorigo, M., Di Caro, G.A., Sampels, M. (eds.) Ant Algorithms 2002. LNCS, vol. 2463, pp. 216–227. Springer, Heidelberg (2002)
Glover, F., Laguna, M.: Tabu Search. Kluwer Academic Publishers, Dordrecht (1997)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proc. IEEE International Conference on Neural Networks, Perth, Australia, November/December 1995, pp. 1942–1948 (1995)
Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220, 671–680 (1983)
Kohnke, P. (ed.): ANSYS, Inc. Theory Reference, ANSYS Release 9.0. ANSYS, Inc. (2004)
Korošec, P., Šilc, J.: Real-parameter optimization using stigmergy. In: Proc. Second International Conference on Bioinspired Optimization Methods and their Applications, Ljubljana, Slovenia, October 2006, pp. 73–84 (2006)
Korošec, P., Šilc, J., Oblak, K., Kosel, F.: The differential ant-stigmergy algorithm: An experimental evaluation and a real-world application. In: Proc. IEEE Congress on Evolutionary Computation, Singapore, September 2007, pp. 157–164 (2007)
Kundu, P.K., Cohen, I.M.: Fluid Mechanics. Academic Press, London (2002)
Price, W.L.: Global optimization by controlled random search. J. Optimization Theory Appl. 40, 333–348 (1978)
Reklaitis, G.V., Ravindran, A., Ragsdell, K.M.: Engineering Optimization Methods. Wiley, Chichester (1983)
Socha, K.: ACO for continuous and mixed-variable optimization. In: Dorigo, M., Birattari, M., Blum, C., Gambardella, L.M., Mondada, F., Stützle, T. (eds.) ANTS 2004. LNCS, vol. 3172, pp. 25–36. Springer, Heidelberg (2004)
Storn, R., Price, K.V.: Differential evolution – A simple and efficient huristic for global optimization over continuous space. J. Global Optim. 11, 341–359 (1997)
Tsutsui, S.: An enhanced aggregation pheromone system for real-parameter optimization in the ACO metaphor. In: Dorigo, M., Gambardella, L.M., Birattari, M., Martinoli, A., Poli, R., Stützle, T. (eds.) ANTS 2006. LNCS, vol. 4150, pp. 60–71. Springer, Heidelberg (2006)
Wright, A.H.: Genetic algorithms for real parameter optimization. In: Proc. 1st Workshop on Foundations of Genetic Algorithms, Bloomington, IN, July 1990, pp. 205–218 (1990)
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Korošec, P., Šilc, J., Oblak, K., Kosel, F. (2008). Optimizing the Shape of an Impeller Using the Differential Ant-Stigmergy Algorithm. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2007. Lecture Notes in Computer Science, vol 4967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68111-3_54
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DOI: https://doi.org/10.1007/978-3-540-68111-3_54
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