Geodesic
Evolutionary optimization algorithms for minimization problem of boolean functions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 4, pp. 66-81

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper contains the review of the evolutionary optimization algorithms for minimization of boolean functions.
Keywords: Boolean functions, optimization, evolutionary algorithms, polynomial representation of Boolean functions. 
B. P. Ilyin. Evolutionary optimization algorithms for minimization problem of boolean functions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 4, pp. 66-81. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a6/
@article{IIGUM_2011_4_4_a6,
     author = {B. P. Ilyin},
     title = {Evolutionary optimization algorithms for minimization problem of boolean functions},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {66--81},
     year = {2011},
     volume = {4},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a6/}
}
TY  - JOUR
AU  - B. P. Ilyin
TI  - Evolutionary optimization algorithms for minimization problem of boolean functions
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2011
SP  - 66
EP  - 81
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a6/
LA  - ru
ID  - IIGUM_2011_4_4_a6
ER  - 
%0 Journal Article
%A B. P. Ilyin
%T Evolutionary optimization algorithms for minimization problem of boolean functions
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2011
%P 66-81
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a6/
%G ru
%F IIGUM_2011_4_4_a6

[1] F. Gill, U. Myurrei, M. Rait, Prakticheskaya optimizatsiya, per. s angl., Mir, M., 1985 | MR

[2] B. P. Ilin, “Vvedenie v geneticheskie algoritmy (GA)”, Primenenie matematicheskikh metodov i informatsionnykh tekhnologii v ekonomike, Izd-vo BGUEP, Irkutsk, 2008, 63–71

[3] D. Rutkovskaya, M. Pilinskii, L. Rutkovskii, Neironnye seti, geneticheskie algoritmy i nechetkie sistemy, per. s polsk. I. D. Rudinskogo, Goryachaya liniya-Telekom, M., 2007, 452 pp.

[4] Z. Z. Abidin, M. R. Arshad, U. K. Ngah, A Survey: Animal-Inspired Metaheuristic Algorithms, School of Electrical and Electronic Engineering, Nibong Tebal, 2009

[5] E. Bonabeau, M. Dorigo, G. Theraulaz, Swarm Intelligence: From Natural to Artificial Systems, Oxford University Press, Oxford, 1999, 320 pp. | Zbl

[6] A. Gaidukov, “Algorithm to derive minimum ESOPs for 6-variable functions”, Proceedings of the 5th International Workshop on Boolean Problems 2002 (Freiberg, Germany, Sept. 19–20, 2002), 141–148

[7] D. T. Pham, A. Ghanbarzadeh, E. Koc, S. Otri, S. Rahim, M. Zaidi, “The Bees Algorithm, A Novel Tool for Complex Optimisation Problems”, 2nd Int. Virtual Conf. on Intelligent Production Machines and Systems, Cardiff University, Cardiff, 2006, 454–459 | DOI