A Novel Model of Artificial Immune System for Solving Constrained Optimization Problems with Dynamic Tolerance Factor

  • Victoria S. Aragón
  • Susana C. Esquivel
  • Carlos A. Coello Coello
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4827)

Abstract

In this paper, we present a novel model of an artificial immune system (AIS), based on the process that suffers the T-Cell. The proposed model is used for solving constrained (numerical) optimization problems. The model operates on three populations: Virgins, Effectors and Memory. Each of them has a different role. Also, the model dynamically adapts the tolerance factor in order to improve the exploration capabilities of the algorithm. We also develop a new mutation operator which incorporates knowledge of the problem. We validate our proposed approach with a set of test functions taken from the specialized literature and we compare our results with respect to Stochastic Ranking (which is an approach representative of the state-of-the-art in the area) and with respect to an AIS previously proposed.

Keywords

Feasible Solution Memory Cell Mutation Operator Constrain Optimization Problem Constraint Violation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Yoo, J., Hajela, P.: Immune network modelling in design optimization. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 167–183. McGraw-Hill, London (1999)Google Scholar
  2. 2.
    Smith, A.E., Coit, D.W.: Constraint Handling Techniques—Penalty Functions. In: Bäck, T., Fogel, D.B., Michalewicz, Z. (eds.) Handbook of Evolutionary Computation, Oxford University Press and Institute of Physics Publishing (1997)Google Scholar
  3. 3.
    Garrett, S.M.: How do we evaluate artificial immune systems? Evolutionary Computation 13, 145–177 (2005)CrossRefMathSciNetGoogle Scholar
  4. 4.
    Forrest, S., Perelson, A., Allen, L., Cherukuri, R.: Self-nonself discrimination in a computer. In: IEEE Symposium on Research in Security and Privacy, pp. 202–212. IEEE Computer Society Press, Los Alamitos (1994)Google Scholar
  5. 5.
    Jerne, N.K.: The immune system. Scientific American 229, 52–60 (1973)CrossRefGoogle Scholar
  6. 6.
    Hunt, J.E., Cooke, D.E.: An adaptative, distributed learning system based on the immune system. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, pp. 2494–2499. IEEE Computer Society Press, Los Alamitos (1995)Google Scholar
  7. 7.
    Ishiguru, A., Uchikawa, Y.W.: Fault diagnosis of plant system using immune network. In: MFI 1994. Proceedings of the 1994 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems, Las Vegas, Nevada, USA (1994)Google Scholar
  8. 8.
    de Castro, L.N., Von Zuben, F.: Learning and optimization using the clonal selection principle. IEEE Transactions on Evolutionary Computation 6, 239–251 (2002)CrossRefGoogle Scholar
  9. 9.
    Kelsey, J., Timmis, J.: Immune inspired somatic contiguous hypermutation for function optimisation. In: Cantú-Paz, E., Foster, J.A., Deb, K., Davis, L., Roy, R., O’Reilly, U.M., Beyer, H.G., Kendall, G., Wilson, S.W., Harman, M., Wegener, J., Dasgupta, D., Potter, M.A., Schultz, A., Dowsland, K.A., Jonoska, N., Miller, J., Standish, R.K. (eds.) GECCO 2003. LNCS, pp. 207–218. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  10. 10.
    Coello Coello, C.A., Cruz-Cortés, N.: Hybridizing a genetic algorithm with an artificial immune system for global optimization. Engineering Optimization 36, 607–634 (2004)CrossRefMathSciNetGoogle Scholar
  11. 11.
    Luh, G.C., Chueh, H.: Multi-objective optimal design of truss structure with immune algorithm. Computers and Structures 82, 829–844 (2004)CrossRefMathSciNetGoogle Scholar
  12. 12.
    Cruz Cortés, N., Trejo-Pérez, D., Coello Coello, C.A.: Handling constrained in global optimization using artificial immune system. In: Jacob, C., Pilat, M.L., Bentley, P.J., Timmis, J.I. (eds.) ICARIS 2005. LNCS, vol. 3627, pp. 234–247. Springer, Heidelberg (2005)Google Scholar
  13. 13.
    Liang, J., Runarsson, T., Mezura-Montes, E., Clerc, M., Suganthan, P., Coello, C.C., Deb, K.: Problem definitions and evaluation criteria for the cec 2006 special session on constrained real-parameter optimization. Technical report, Nanyang Technological University, Singapore (2006)Google Scholar
  14. 14.
    Runarsson, T.P., Yao, X.: Stochastic Ranking for Constrained Evolutionary Optimization. IEEE Transactions on Evolutionary Computation 4, 284–294 (2000)CrossRefGoogle Scholar
  15. 15.
    Cagnina, L., Esquivel, S., Coello, C.C.: A bi-population PSO with a shake-mechanism for solving numerical optimization. In: Proceedings of the 2007 IEEE Congress on Evolutionary Computation, Singapore, IEEE Press, Los Alamitos (2007)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Victoria S. Aragón
    • 1
  • Susana C. Esquivel
    • 1
  • Carlos A. Coello Coello
    • 2
  1. 1.Laboratorio de Investigación y Desarrollo en Inteligencia Computacional, Universidad Nacional de San Luis, Ejército de los Andes 950, (5700) San LuisArgentina
  2. 2.CINVESTAV-IPN (Evolutionary Computation Group), Departamento de Computación, Av. IPN No. 2508, Col. San Pedro Zacatenco, México D.F. 07300México

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