Synthesis of Digital Circuits with Genetic Algorithms: A Fractional-Order Approach
This paper analyses the performance of a genetic algorithm using a new concept, namely a fractional-order dynamic fitness function, for the synthesis of combinational logic circuits. The experiments reveal superior results in terms of speed and convergence to achieve a solution.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079162Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1057
 Zebulum, R. S., Pacheco, M. A. and Vellasco, M. M., Evolutionary Electronics: Automatic Design of Electronic Circuits and Systems by Genetic Algorithms, CRC Press, 2001.
 Louis, S.J. and Rawlins, G. J., "Designer Genetic Algorithms: Genetic Algorithms in Structure Design," in Proc. of the Fourth Int. Conference on Genetic Algorithms, 1991.
 Coello, C. A., Christiansen, A. D. and Aguirre, A. H., "Using Genetic Algorithms to Design Combinational Logic Circuits", Intelligent Engineering through Artificial Neural Networks. Vol. 6, 1996, pp. 391- 396.
 Miller, J. F., Thompson, P. and Fogarty, T, Algorithms and Evolution Strategies in Engineering and Computer Science: Recent Advancements and Industrial Applications. Chapter 6, 1997, Wiley.
 Kalganova, T., Miller, J. F. and Lipnitskaya, N., "Multiple_Valued Combinational Circuits Synthesised using Evolvable Hardware," in Proceedings of the 7th Workshop on Post-Binary Ultra Large Scale Integration Systems, 1998.
 Torresen, J., "A Divide-and-Conquer Approach to Evolvable Hardware," in Proceedings of the Second International Conference on Evolvable Hardware. Vol. 1478, 1998, pp. 57-65.
 Vassilev, V. K. and Miller, J. F., "Scalability Problems of Digital Circuit Evolution," in Proc. of the Second NASA/DOD Workshop on Evolvable Hardware, 2000, pp. 55-64.
 Y. Sano and H. Kita, Optimization of Noisy Fitness Functions by means of Genetic Algorithms using History of Search with test of Estimation, Proceedings of CEC, 2002.
 Cec├¡lia Reis, J. A. Tenreiro Machado, and J. Boaventura Cunha, "Evolutionary Design of Combinational Logic Circuits", Journal of Advanced Computational Intelligence and Intelligent Informatics, Fuji Technology Press, Vol. 8, No. 5, pp. 507-513, Sep. 2004.
 Cec├¡lia Reis, J. A. Tenreiro Machado, and J. Boaventura Cunha, "Synthesis of Logic Circuits Using Fractional-Order Dynamic Fitness Functions", Proceedings of the ICCI-2004 - International Conference on Computational Intelligence, 2004, pp. 77-79.
 K. B. Oldham and J. Spanier. The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order. Academic Press, New York, 1974.
 K. S. Miller and B. Ross. An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley & Sons, New York, 1993.
 J. A. Tenreiro Machado. Analysis and Design of Fractional-Order Digital Control Systems. SAMS Journal Systems Analysis, Modelling, Simulation, vol. 27: 107-122, 1997.