Constrained Multiobjective Optimization Immune Algorithm: Convergence and Application

Computers and Mathematics with Applications

Volumn 52, Issue 5, 2006, Pages 791-808

  Zhang, Zhuhong ^a  

^a GUIZHOU UNIVERSITY   (China)

Author keywords

Constrained multiobjective optimization; Convergence; Humoral immune; Immune optimization algorithm; Pareto optimality

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; MARKOV PROCESSES; OPTIMIZATION; PARETO PRINCIPLE;

CONSTRAINED MULTIOBJECTIVE OPTIMIZATION; HUMORAL IMMUNE; IMMUNE OPTIMIZATION ALGORITHM; PARETO OPTIMALITY;

CONSTRAINT THEORY;

EID: 33846857285     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.10.016     Document Type: Article

References (17)

1. Lin C.Y., and Dong J.L. Multiobjective Optimization: Theory and Application, in Chinese (1992), Education Press, Jilin
2. E. Zitzler, L. Thiele, Evolution algorithms for multiobjective optimization: Methods and application, Doctoral Thesis ETH No. 133398, Swiss Federal Institute of Technology, Zurich, (1999).
3. Tan K.C., Lee T.H., and Khor E.F. Evolutionary algorithms with dynamic population size and local exploration for multiobjective optimization. IEEE Transactions on Evolutionary Computation 5 64 (2001) 565-588
4. Tan K.C., Khor E.F., Lee T.H., et al. An evolutionary algorithm with advanced goal and priority specification for multi-objective optimization. Journal of Artificial Intelligence Research 18 2003 (2003) 183-215
5. C.A. Coello Coello, M.R. Sierra, A study of the parallelization of a coevolutionary multi-objective evolutionary algorithm, In Lecture Notes in Artificial Intelligence, Volume 2972. Proceedings of the Third Mexican International Conference on Artificial Intelligence (MICAI'2004), (Edited by R. Monroy, G. Arroyo- Figueroa, L.E. Sucar and H. Sossa), pp. 688-697, Springer-Verlag, (April 2004).
6. Leung Y.W., and Wang Y.P. Multiobjective programming using uniform design and genetic algorithm. IEEE Transaction on Systems, Man, and CyberneticsPart C: Application and Review 30 3 (2000) 293-304
7. Rudolph G. On a multiobjective evolutionary algorithm and its convergence to the Pareto set. Proc. of the 1998 IEEE International Conference on Evolutionary Computation (1998), IEEE Press, Piscataway, NJ 511-516
8. Ranjithan S.R., Chentan S.K., and Akshina H.K. Constrained method-base evolutionary algorithm for multiobjective optimization. In: Zitzler E., et al. (Ed). Evolutionary Multi-Criteria Optimization, Lecture Notes in Computer Science (LNCS) 1993 (2001), Springer-Verlag, Berlin
9. Barichard V., and Hao J.K. A population and interval constraint propagation algorithm. In: Fonseca C.M., Fleming P.J., Zitzler E., Deb K., and Thiele L. (Eds). Evolutionary Multi-Criterion Optimization. Second International Conference, EMO 2003, Lecture Notes in Computer Science 2632 (2003 April), Springer, Faro, Portugal 88-101
10. Coello Coello C.A., Pulido G.T., and Lechuga M.S. Handling multiple objectives with particle swarm optimization. IEEE Transactions on Evolutionary Computation 8 3 (2004 June) 256-279
11. Aguirre A.H., Rionda S.B., Coello Coello C.A., et al. Handling constraints using multiobjective optimization concepts. International Journal for Numerical Methods in Engineering 59 15 (2004 April) 1989-2017
12. Chung J.S., Jung H.K., and Hahn S.Y. A study on comparison of optimization performances between immune algorithm and other algorithms. IEEE Transactions on Magnetics 34 5 (1998) 2972-2975
13. Huang X.Y., and Zhang Z.H. Multiobjective optimization immune algorithm based on immune response principle and its application (in Chinese). Information Control 32 3 (2003) 209-213
14. Yoo J., and Hajela P. Fuzzy multicriterion design using immune network simulation. Struct. Multidisc. Optim. 22 (2001) 188-197
15. C.A. Coello Coello, C.C. Nareli, An approach to solve multiobjective optimization problems based on artificial immune system, In 1st International Conference on Artificial Immune Systems (ICARIS-2002), University of Kent at Canterbury, pp. 212-221, September 9-11, 2002.
16. Zhang Z.H., and Huang X.Y. A study on constrained multiobjective optimization immune algorithm and its application. Pattern Recognition and Artificial Intelligence 16 4 (2003) 452-458
17. Z.H. Zhang, Study on theory and applications of intelligent optimization and immune network algorithms in artificial immune systems, Doctoral Thesis, No. 106112040055, Chongqing University, P.R. China, (2004).