A genetic algorithm and singular value decomposition (SVD) are deployed simultaneously for optimal design of both connectivity configuration and the values of coefficients respectively involved in group method of data handling (GMDH)-type neural networks, which are used for modelling the explosive cutting process of plates by shaped charges. The aim of such modelling is to show how the depth of penetration varies with the variation in important parameters, namely the apex angle, standoff, liner thickness and mass of charge. It is also demonstrated that SVD can be effectively used to find the vector of coefficiencs of quadratic subexpressions embodied in such GMDH-type networks. Such application of SVD will improve the performance of evolved GMDH-type networks to model the very complex process of explosive cutting of plates by shaped charges.
KristisonK.DumontG.System identification and control using genetic algorithms. IEEE Trans. Systems, Man, Cybernetics, 1992, 22(5), 1033–1046.
4.
KozaJ.Genetic Programming, on the Programming of Computers by Means of Natural Selection, 1992 (MIT Press, Cambridge, Massachusetts).
5.
IbaH.KuitaT.de GarisH.SatorT.System identification using structured genetic algorithms. In Proceedings of the 5th International Conference on Genetic Algorithms (ICGA′93), USA, 1993.
6.
IvakhnenkoA. G.Polynomial theory of complex systems. IEEE Trans. Systems, Man, Cybernetics, 1971, SMC-1, 364–378.
7.
FarlowS. J. (Ed.) Self-organizing Method in Modeling: GMDH Type Algorithm, 1984 (Marcel Dekker, New York).
8.
MuellerJ.-A.LemkeF.Self-Organising Data Mining: An Intelligent Approach to Extract Knowledge from Data, 2000 (Libri, Hamburg).
9.
IbaH.de GarisH.SatoT.A numerical approach to genetic programming for system identification. Evolutionary Comput., 1996, 3(4), 417–452.
10.
DolenkoS. A.OrlovY. V.PersiantsevI. G.Practical implementation and use of group method of data handling (GMDH): Prospects and problems. In Proceedings of the Conference ACEDC′96, University of Plymouth, 1996.
11.
DarvizehA.Nariman-ZadehN.GharababeiH.GMDH-type neural network modelling of explosive cutting process of plates using singular value decomposition. In Proceedings of the Conference ESM′2001, Prague, June 2001.
12.
Nariman-ZadehN.DarvizehA.Ahmad-ZadehR.Evolutionary design of GMDH-type neural networks using singular value decomposition for the modelling of process parameters of explosive cutting process. In Proceedings of the 1st International Conference on Inductive Modelling (ICIM′2002), Lviv, Ukraine, 20–25 May 2002.
13.
PortoV. W.Evolutionary computation approaches to solving problems in neural computation. In Handbook of Evolutionary Computation (Eds BackT.FogelD. B.MichalewiczZ.), pp. D1.2:1–D1.2:6 (Institute of Physics, Bristol, and Oxford University Press, New York).
14.
YaoX.Evolving artificial neural networks. Proc. IEEE, September 1999, 87(9), 1423–1447.
15.
VasechkinaE. F.YarinV. D.Evolving polynomial neural network by means of genetic algorithm: Some application examples. Complexity Int., 2001, 9.
16.
SalemS. A. L.Al-HassaniS. T. S.Penetration by high speed oblique jets: Theory and experiments. Int. J. Mech. Sci., 1983, 25(12).
17.
YadegariA. F.Non-dimensional analysis of explosive cutting process of plates by shaped charges (in Persian). MSc dissertation, Guilan University, Rasht, Iran, 1998.
18.
CheezariM.Explosive separation using shaped charges (in Persian). MSc dissertation, Guilan University, Rasht, Iran, 1999.
19.
GolubG. H.ReinschC.Singular value decomposition and least squares solutions. Numer. Math., 1970, 14(5), 403–420.
20.
PressW. H.TeukolskyS. A.VetterlingW. T.FlanneryB. P.Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd edition, 1992 (Cambridge University Press, Cambridge).
21.
BalakrishnanK.HonavarV.Evolutionary design of neural architecturesâa preliminary taxonomy and guide to literature. Report CS-TR 95-01, Department of Computer Science, Iowa State University, Iowa, January 1995.
22.
GoldbergD. E.Genetic Algorithms in Search, Optimization, and Machine Learning, 1989 (Addison-Wesley, Reading, Massachusetts).
