Abstract
The primary objective of this paper is to put forward a general framework under which clear definitions of immune operators and their roles are provided. To this aim, a novel Population Adaptive Based Immune Algorithm (PAIA) inspired by Clonal Selection and Immune Network theories for solving multi-objective optimization problems (MOP) is proposed. The algorithm is shown to be insensitive to the initial population size; the population and clone size are adaptive with respect to the search process and the problem at hand. It is argued that the algorithm can largely reduce the number of evaluation times and is more consistent with the vertebrate immune system than the previously proposed algorithms. Preliminary results suggest that the algorithm is a valuable alternative to already established evolutionary based optimization algorithms, such as NSGA II, SPEA and VIS.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ishida, Y.: Fully Distributed Diagnosis by PDP Learning Algorithm: Towards Immune Network PDP Model. In: Proc. of the IEEE International Joint Conference on Neural Networks, San Diego, USA, pp. 777–782 (1990)
Forrest, S., Perelson, A.S., Allen, L., Cherukuri, R.: Self-Nonself Discrimination in a Computer. In: Proc. Of IEEE Symposium on Research in Security and Privacy, Oakland, USA, pp. 202–212 (1994)
de Castro, L.N., Von Zuben, F.J.: aiNet: An Artificial Immune Network for Data Analysis. In: Abbass, H.A., Sarker, R.A., Newton, C.S. (eds.) Data Mining: A Heuristic Approach, pp. 231–259. Idea Group Publishing, USA (2001)
Timmis, J.: Artificial Immune Systems: A Novel Data Analysis Technique Inspired by the Immune Network Theory. Ph.D Dissertation, Department of Computer Science, University of Wales (2000)
de Castro, L.N., Timmis, J.: An Artificial Immune Network for Multimodal Function Op timization. In: Proc. Of the IEEE Congress on Evolutionary Computation (CEC 2002), Honolulu, Hawaii, vol. 1, pp. 699–704 (2002)
Kelsey, J., Timmis, J.: Immune Inspired Somatic Contiguous Hypermutation for Function Optimization. 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, vol. 2723, pp. 207–218. Springer, Heidelberg (2003)
Freschi, F.: Multi-Objective Artificial Immune System for Optimization in Electrical Engineering. Ph.D Thesis, Politecnico di Torino, Department of Electrical Engineering, Torino, Italy (2006)
Yoo, J., Hajela, P.: Immune Network Simulations in Multicriterion Design. Structural Optimization 18, 85–94 (1999)
Cruz Cortes, N., Coello Coello, C.A.: Multiobjective Optimization Using Ideas from the Clonal Selection Principle. 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, vol. 2723, pp. 158–170. Springer, Heidelberg (2003)
Coello Coello, C.A., Cruz Cortes, N.: Solving Multiobjective Optimization Problems Using an Artificial Immune System. Genetic Programming and Evolvable Machines 6(2), 163–190 (2005)
Wang, X.L., Mahfouf, M.: ACSAMO: An Adaptive Multiobjective Optimization Algorithm using the Clonal Selection Principle. In: The First European Symposium on Nature-inspired Smart Information Systems, Albufeira, Portugal (2005)
Jiao, L., Gong, M., Shang, R., Du, H., Lu, B.: Clonal Selection with Immune Dominance and Anergy Based Multiobjective Optimization. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 474–489. Springer, Heidelberg (2005)
Burnet, F.M.: The Clonal Selection Theory of Acquired Immunity. Cambridge at the University Press, UK (1959)
Jerne, N.K.: Towards a Network Theory of the Immune System. Ann. Immunology (Inst. Pasteur) 125C, 373–389 (1974)
Perelson, A.S.: Immune Network Theory. Immunological Review 110, 5–36 (1989)
Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. Wiley, Chichester (2001)
Goldberg, D.E.: Genetic Algorithms for Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989)
de Castro, L.N., Von Zuben, F.J.: Artificial Immune Systems: Part I-Basic Theory and Applications. Technical Report, TR-DCA 02/00. School of Computing and Electrical Engineering, State University of Campinas, Brazil (1999)
Farmer, J.D., Packard, N.H.: The Immune System, Adaptation, and Machine Learning. Physica 22D, 187–204 (1986)
Smith, R.E., Dike, B.A., Stegmann, S.A.: Fitness Inheritance in Genetic Algorithms. In: Proc. of ACM Symposiums on Applied Computing (ACM 1995), pp. 345–350 (1995)
Zitzer, E., Thiele, L.: An Evolutionary Algorithm for Multi-objective Optimization: The Strength Pareto Approach. TIK-Report, No. 43. Computer Engineering and Communication Networks Lab (TIK), Swiss Federal Institute of Technology, Switzerland (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, J., Mahfouf, M. (2006). A Population Adaptive Based Immune Algorithm for Solving Multi-objective Optimization Problems. In: Bersini, H., Carneiro, J. (eds) Artificial Immune Systems. ICARIS 2006. Lecture Notes in Computer Science, vol 4163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11823940_22
Download citation
DOI: https://doi.org/10.1007/11823940_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37749-8
Online ISBN: 978-3-540-37751-1
eBook Packages: Computer ScienceComputer Science (R0)