Artificial Bee Colony Algorithm Used for Reconstructing the Heat Flux Density in the Solidification Process

1. Russell, S.J., Norvig, P.: Artificial Intelligence: A Modern Approach. Prentice Hall, Englewood Cliffs (1995)

   MATH  Google Scholar 

2. Bäck, T., Fogel, D., Michalewicz, Z.: Handbook of Evolutionary Computation. Oxford Univ. Press (1997)

   Google Scholar 

3. Gurney, K.: An Introduction to Neural Networks. Routledge, London (1997)

   Book  Google Scholar 

4. Eberhart, R.C., Shi, Y., Kennedy, J.: Swarm Intelligence. Morgan Kaufmann, San Francisco (2001)

   Google Scholar 

5. Dorigo, M., Blum, C.: Ant colony optimization theory: a survey. Theoretical Computer Science 344, 243–278 (2005)

   Article  MATH  MathSciNet  Google Scholar 

6. Duran Toksari, M.: Ant Colony Optimization for finding the global minimum. Applied Mathematics and Computation 176, 308–316 (2006)

   Article  MATH  MathSciNet  Google Scholar 

7. Krishnanand, K.N., Ghose, D.: Glowworm swarm optimization for multimodal search spaces. In: Panigrahi, B.K., Shi, Y., Lim, M.-H. (eds.) Handbook of Swarm Intelligence. ALO, vol. 8, pp. 451–467. Springer, Berlin (2011)

   Chapter  Google Scholar 

8. Karaboga, D., Basturk, B.: On the performance of artificial bee colony (ABC) algorithm. Appl. Soft Computing 8, 687–697 (2007)

   Article  Google Scholar 

9. Karaboga, D., Akay, B.: A comparative study of artificial bee colony algorithm. Appl. Math. Comput. 214, 108–132 (2009)

   Article  MATH  MathSciNet  Google Scholar 

10. Słota, D.: Solving the inverse Stefan design problem using genetic algorithm. Inverse Problems in Science and Engineering 16, 829–846 (2008)

    Article  MATH  MathSciNet  Google Scholar 

11. Ma, M., Liang, J., Guo, M., Fan, Y., Yin, Y.: SAR image segmentation based on Artificial Bee Colony algorithm. Applied Soft Computing 11, 5205–5214 (2011)

    Article  Google Scholar 

12. Bai, J., Yang, G.-K., Chen, Y.-W., Hu, L.-S., Pan, C.-C.: A model induced max-min ant colony optimization for asymmetric traveling salesman problem. Applied Soft Computing 13, 1365–1375 (2013)

    Article  Google Scholar 

13. Lučic̀, P., Teodorovic̀, D.: Computing with Bees: attacking complex transportation engineering problems. Int. J. Artificial Intelligence Tools 12, 375–394 (2003)

    Article  Google Scholar 

14. Tereshko, V.: Reaction-diffusion model of a honeybee colony’s foraging behaviour. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 807–816. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

15. Özbakir, L., Baykasoǧlu, A., Tapkan, P.: Bees algorithm for generalized assignment problem. Appl. Math. Comput. 215, 3782–3795 (2010)

    Article  MATH  MathSciNet  Google Scholar 

16. Gabryel, M., Woźniak, M., Nowicki, R.K.: Creating Learning Sets for Control Systems Using an Evolutionary Method. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) EC 2012 and SIDE 2012. LNCS, vol. 7269, pp. 206–213. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

17. Beck, J.V., Blackwell, B., St.Clair, C.R.: Inverse Heat Conduction: Ill Posed Problems. Wiley Intersc., New York (1985)

    Google Scholar 

18. Mochnacki, B., Suchy, J.S.: Numerical Methods in Computations of Foundry Processes. PFTA, Cracow (1995)

    Google Scholar 

19. Mochnacki, B.: Numerical modeling of solidification process. In: Zhu, J. (ed.) Computational Simulations and Applications, pp. 513–542. InTech, Rijeka (2011)

    Google Scholar 

20. Santos, C.A., Quaresma, J.M.V., Garcia, A.: Determination of transient interfacial heat transfer coefficients in chill mold castings. J. Alloys and Compounds 319, 174–186 (2001)

    Article  Google Scholar 

21. Słota, D.: Identification of the cooling condition in 2-D and 3-D continuous casting processes. Numer. Heat Transfer B 55, 155–176 (2009)

    Article  Google Scholar 

22. Słota, D.: Restoring boundary conditions in the solidification of pure metals. Comput. & Structures 89, 48–54 (2011)

    Article  Google Scholar 

23. Ionescu, D., Ciobanu, I., Munteanu, S.I., Crisan, A., Monescu, V.: 2D mathematical model for the solidification of alloys within a temperature interval. Metalurgia International 16(4), 39–44 (2011)

    Google Scholar 

24. Piasecka Belkhayat, A.: Numerical modelling of solidification process using interval boundary element method. Archives of Foundry Engineering 8(4), 171–176 (2008)

    Google Scholar 

25. Hetmaniok, E., Słota, D., Zielonka, A.: Experimental verification of immune recruitment mechanism and clonal selection algorithm applied for solving the inverse problems of pure metal solidification. Int. Commun. Heat Mass Transf. 47, 7–14 (2013)

    Article  Google Scholar 

26. Hetmaniok, E.: Invasive weed optimization algorithm applied for solving the inverse Stefan problem. Hutnik 81(1), 76–79 (2014)

    Google Scholar 

27. 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)

    Chapter  Google Scholar 

28. Zielonka, A., Hetmaniok, E., Słota, D.: Using of the Artificial Bee Colony Algorithm for determining the heat transfer coefficient. In: Czachórski, T., Kozielski, S., Stańczyk, U. (eds.) Man-Machine Interactions 2. AISC, vol. 103, pp. 369–376. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

29. Hetmaniok, E., Słota, D., Zielonka, A., Wituła, R.: Comparison of ABC and ACO algorithms applied for solving the inverse heat conduction problem. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) EC 2012 and SIDE 2012. LNCS, vol. 7269, pp. 249–257. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

30. Mochnacki, B., Majchrzak, E., Kapusta, A.: Numerical model of heat transfer processes in solidifying and cooling steel ingot (on the basis of BEM). In: Wrobel, L.C., Brebbia, C.A. (eds.) Computational Modelling of Free and Moving Boundary Problems 2, Heat Transfer, pp. 177–189. Computational Mech. Publ., Southampton (1992)

    Google Scholar 

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