Abstract
This paper reflects on the alternative methodology for finding global minima of one-dimensional cost-functions by using Exploding Balls Principle. In this paper, the simulation scenario is presented which effectively compares the new procedure with existing methods such as Simulated Annealing and Genetic Algorithm. Finally, the results of the experiments are presented and summarized with necessary conclusions and new ideas for further research. Additionally, the software simulation environment (EbSim) is introduced with an emphasis on the features and the opportunities it provides.
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
Mandelbrot, B.B.: The Fractal Geometry of Nature. W. H. Freeman and Co. (1982)
Mallat, S., Wavelet, A.: Tour of Signal Processing. Academic Press (1999)
Talbi, E.G.: Metaheuristics: From Design to Implementation. Wiley Series on Parallel and Distributed Computing, Wiley (2009)
Reeves, C.R.: Modern Heuristic Techniques for Combinatorial Problems. McGraw-Hill (1995)
Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)
Bertsimas, D., Nohadani, O.: Robust optimization with simulated annealing. Journal of Global Optimization 48(2), 323–334 (2010)
Wong, K.-C., Wu, C.-H., Mok, R.K.P., Peng, C., Zhang, Z.: Evolutionary multimodal optimization using the principle of locality. Information Sciences 194(1), 138–170 (2012)
Davies, D.: A methodology for finding global minima: an exploding balls principle. Research Proposal, Wroclaw University of Technology (October 2010)
Zydek, D., Selvaraj, H., Koszalka, L., Pozniak-Koszalka, I.: Evaluation scheme for NoC-based CMP with integrated processor management system. International Journal of Electronics and Telecommunications 56(2), 157–167 (2010)
Kakol, A., Pozniak-Koszalka, I., Koszalka, L., Kasprzak, A., Burnham, K.J.: An experimentation system for testing bee behavior based algorithm to solving a transportation problem. In: Nguyen, N.T., Kim, C.-G., Janiak, A. (eds.) ACIIDS 2011, Part II. LNCS, vol. 6592, pp. 11–20. Springer, Heidelberg (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Nowodzinski, A., Koszalka, L., Pozniak-Koszalka, I., Kasprzak, A. (2013). Exploding Balls Principle as a Method of Global Optimization. In: BÇŽdicÇŽ, C., Nguyen, N.T., Brezovan, M. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2013. Lecture Notes in Computer Science(), vol 8083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40495-5_39
Download citation
DOI: https://doi.org/10.1007/978-3-642-40495-5_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40494-8
Online ISBN: 978-3-642-40495-5
eBook Packages: Computer ScienceComputer Science (R0)