Abstract
In the paper a description of procedure for solving the inverse problem of continuous casting is given. The problem consists in reconstruction of the cooling conditions of solidified ingot and is based on minimization of the appropriate functional by using the modified Harmony Search algorithm – the algorithm of artificial intelligence inspired by process of composing the jazz music.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bäck, T.: Evolutionary Algorithms in Theory and Practice: Evolution Strategies, Evolutionary Programming, Genetic Algorithms. Oxford University Press, Oxford (1996)
Cutello, V., Nicosia, G.: An immunological approach to combinatorial optimization problems. In: Garijo, F.J., Riquelme, J.-C., Toro, M. (eds.) IBERAMIA 2002. LNCS (LNAI), vol. 2527, pp. 361–370. Springer, Heidelberg (2002)
Grzymkowski, R., Hetmaniok, E., Słota, D., Zielonka, A.: Application of the ant colony optimization algorithm in solving the inverse stefan problem. Steel Res. Int. Special Edition: Metal Forming, 1287–1290 (2012)
Hetmaniok, E., Słota, D., Zielonka, A.: Solution of the inverse heat conduction problem by using the abc algorithm. In: Szczuka, M., Kryszkiewicz, M., Ramanna, S., Jensen, R., Hu, Q. (eds.) RSCTC 2010. LNCS, vol. 6086, pp. 659–668. Springer, Heidelberg (2010)
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: Harmony Search. Simulation 76, 60–68 (2001)
Geem, Z.W.: Improved harmony search from ensemble of music players. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds.) KES 2006. LNCS (LNAI), vol. 4251, pp. 86–93. Springer, Heidelberg (2006)
Geem, Z.W., Tseng, C.-L., Park, Y.-J.: Harmony search for generalized orienteering problem: best touring in China. In: Wang, L., Chen, K., Ong, Y.S. (eds.) ICNC 2005. LNCS, vol. 3612, pp. 741–750. Springer, Heidelberg (2005)
Geem, Z.W., Lee, K.S., Park, Y.: Application of harmony search to vehicle routing. Amer. J. Appl. Sci. 2, 1552–1557 (2005)
Geem, Z.W.: Optimal cost design of water distribution networks using harmony search. Eng. Optim. 38, 259–280 (2006)
Hetmaniok, E., Jama, D., Słota, D., Zielonka, A.: Application of the Harmony Search algorithm in solving the inverse heat conduction. Scientific notes of Silesian University of Technology (Zesz. Nauk. Pol. Śl.). Appl. Math. 1, 99–108 (2011)
Hetmaniok, E., Słota, D., Zielonka, A.: Identification of the heat transfer coefficient by using the modified Harmony Search algorithm. Steel Res. Int. Special Edition: Metal Forming, 1039–1042 (2012)
Mochnacki, B., Suchy, J.: Numerical Methods in Computations of Foundry Processes. PFTA, Cracow (1995)
Nowak, I., Nowak, A.J., Wrobel, L.C.: Inverse analysis of continuous casting processes. Int. J. Numer. Meth. Heat Fluid Flow 13, 547–564 (2003)
Santos, C.A., Garcia, A., Frick, C.R., Spim, J.A.: Evaluation of heat transfer coefficient along the secondary cooling zoones in the continuous casting of steel billets. Inverse Probl. Sci. Eng. 14, 687–700 (2006)
Słota, D.: Identification of the cooling condition in 2-d and 3-d continuous casting processes. Numer. Heat Transfer B 55, 155–176 (2009)
Nowak, I., Smolka, J., Nowak, A.J.: Application of Bezier surfaces to the 3-D inverse geometry problem in continuous casting. Inverse Probl. Sci. Eng. 19, 75–86 (2011)
Słota, D.: Restoring boundary conditions in the solidification of pure metals. Comput. Struct. 89, 48–54 (2011)
Acknowledgements
This project has been financed from the funds of the National Science Centre granted on the basis of decision DEC-2011/03/B/ST8/06004.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hetmaniok, E., Słota, D., Zielonka, A. (2014). Solution of the Inverse Continuous Casting Problem with the Aid of Modified Harmony Search Algorithm. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55224-3_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-55224-3_38
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-55223-6
Online ISBN: 978-3-642-55224-3
eBook Packages: Computer ScienceComputer Science (R0)