Abstract
The optimization of complex systems one of whose variables is time has been attempted in the past but its inherent mathematical complexity makes it hard to tackle with standard methods. In this paper we solve this problem by appealing to two tools of computational intelligence: a) Genetic algorithms (GA) and b) Artificial Neural Networks (NN). We assume that there is a set of data whose intrinsic information is enough to reflect the behavior of the system. We solved the problem by, first, designing a system capable of predicting selected variables from a multivariate environment. For each one of the variables we trained a NN such that the variable at time t+k is expressed as a non-linear combination of a subset of the variables at time t. Having found the forecasted variables we proceeded to optimize their combination such that its cost function is minimized. In our case, the function to minimize expresses the cost of operation of an economic system related to the physical distribution of coins and bills. The cost of transporting, insuring, storing, distributing, etc. such currency is large enough to guarantee the time invested in this study. We discuss the methods, the algorithms used and the results obtained in experiments as of today.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Haykin, S.: Neural Networks. A comprehensive foundation, 2nd edn. Prentice Hall (1999)
Back, T.: Evolutionary Algorithms in Theory and Practice. Oxford University Press, New York (1996)
MIT Staff, Machine Monitoring and Diagnosis using Knowledge-Based Fuzzy Systems. Data Engine Tutorials and Theory, Management Intelligenter Technologien GmbH, Aachen, Germany (2010)
Shampine, L., Allen, R.: Numerical Computing: an introduction, pp. 43–53. W.B. Saunders (1984)
Rumelhart, D.E., Hintoen, G.E., Williams, R.J.: Learning internal representations by error propagation. In: Rumelhart, D.E., McClelland, J.L. (eds.) PDP Research group, Parallel Distributed Processing. Foundations, vol. I. MIT Press (1986)
Montana, D.J., Davis, L.D.: Training feedforward Networks using Genetic Algorithms. In: Proceedings of the International Joint Conference on Artificial Intelligence. Morgan Kauffman (1989)
Kuri, A.: A universal Eclectic Genetic Algorithm for Constrained Optimization. In: Proceedings 6th European Congress on Intelligent Techniques & Soft Computing, EUFIT 1998, pp. 518–522 (1998)
Yao, X.: A Review of Evolutionary Artificial Neural Networks. International Journal of Intelligent Systems 8, 539–567 (1993)
Coello, C.: Theoretical and Numerical Constraint-Handling Techniques used with Evolutionary Algorithms: A Survey of the State of the Art. Computer Methods in Applied Mechanics and Engineering (2001)
Kuri-Morales, Á.F., Gutiérrez-García, J.O.: Penalty Function Methods for Constrained Optimization with Genetic Algorithms: A Statistical Analysis. In: Coello Coello, C.A., de Albornoz, Á., Sucar, L.E., Battistutti, O.C. (eds.) MICAI 2002. LNCS (LNAI), vol. 2313, pp. 108–117. Springer, Heidelberg (2002)
Kuri-Morales, Á.F.: A Methodology for the Statistical Characterization of Genetic Algorithms. In: Coello Coello, C.A., de Albornoz, Á., Sucar, L.E., Battistutti, O.C. (eds.) MICAI 2002. LNCS (LNAI), vol. 2313, pp. 79–89. Springer, Heidelberg (2002)
Scheid, F.: Theory and Problems of Numerical Analysis, 7th edn. McGraw-Hill Book Company (1997)
Cheney, E.W.: Introduction to Approximation Theory, ch. 2, pp. 58–64. McGraw-Hill Book Company (1966)
Tryba, V., Kiziloglu, B., Thimm, A., Daehn, W.: Bestimmung der Abwasserqualität mit einem Multilayerperceptron-Netz für die Online-Steuerung von Regenüberlaufbecken. In: Anwendersymposium Erlangen 1996, pp. S131–S137. MIT GmbH (1996)
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
Kuri-Morales, A. (2013). Application of a Method Based on Computational Intelligence for the Optimization of Resources Determined from Multivariate Phenomena. In: Batyrshin, I., Mendoza, M.G. (eds) Advances in Computational Intelligence. MICAI 2012. Lecture Notes in Computer Science(), vol 7630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37798-3_26
Download citation
DOI: https://doi.org/10.1007/978-3-642-37798-3_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37797-6
Online ISBN: 978-3-642-37798-3
eBook Packages: Computer ScienceComputer Science (R0)