Multiobjective search algorithm with subdivision technique

Computational Optimization and Applications

Volumn 35, Issue 2, 2006, Pages 161-175

  Jahn, Johannes ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Global optimization; Random search; Vector optimization

Indexed keywords

CONSTRAINT FUNCTIONS; RANDOM SEARCH; SUBDIVISION TECHNIQUE; VECTOR OPTIMIZATION;

CONSTRAINT THEORY; GLOBAL OPTIMIZATION; NUMERICAL METHODS; PROBLEM SOLVING; SEARCH ENGINES;

ALGORITHMS;

EID: 33749624923     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-006-6450-4     Document Type: Article

References (17)

1. Y. Collette and P. Siarry, Multiobjective Optimization - Principles and Case Studies, Springer: Berlin, 2004.
2. K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms, Wiley: Chichester, 2001.
3. C.M. Fonseca and P.J. Fleming, "An overview of evolutionary algorithms in multiobjective optimization," Evolutionary Computation, vol. 3, pp. 1-16, 1995.
4. C.M. Fonseca, P.J. Fleming, E. Zitzler, K. Deb, and L. Thiele, (Eds.), Evolutionary Multi-Criterion Optimization, Springer: Berlin, 2003.
5. D.E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley: Reading/Massachusetts, 1989.
6. F. Graef, Private Communication, University of Erlangen Nürnberg: Erlangen, 1992.
7. C. Hillermeier and J. Jahn, "Multiobjective optimization: Survey of methods, and industrial applications," Surveys on Mathematics Industry, vol. 11, pp. 1-42, 2005.
8. J. Jahn, Vector Optimization - Theory, Applications, and Extensions, Springer: Berlin, 2004.
9. F. Kursawe, "A variant of evolution strategies for vector optimization," in Proceedings of Parallel Problem Solving from Nature I (PPSN-1), 1991, pp. 193-197.
10. P. Loridan, "ε-solutions in vector minimization problems", J. Optim. Theory Appl, vol. 42, pp. 265-276, 1984.
11. T. Okabe, Evolutionary Multi-Objective Optimization - On the Distribution of Offspring in Parameter and Fitness Space," Shaker Verlag: Aachen, 2004.
12. S. Schäffler, Global Optimization Using Stochastic Integration, S. Roderer Verlag: Regensburg, 1995.
13. S. Schäffler, R. Schultz, and K. Weinzierl, "Stochastic method for the solution of unconstrained vector optimization problems," J. Optim. Theory Appl, vol. 114, pp. 209-222, 2002.
14. O. Schütze, S. Mostaghim, M. Dellnitz, and J. Teich, Covering pareto sets by multilevel evolutionary subdivision techniques, in [4, pp. 118-132].
15. T. Staib, "On two generalizations of Pareto minimality", J. Optim. Theory Appl, vol. 59, pp. 289-306, 1988.
16. M. Tanaka, H. Watanabe, Y. Furnkawa, and T. Tanino, "GA-based decision support system for multicriteria optimization," in Proceedings of the 1995 International Conference of Systems, Man, and Cybernetics, vol. 2, 1995, pp. 1556-1561.
17. Y.M. Younes, Studies on Discrete Vector Optimization, Dissertation, University of Demiatta: Egypt, 1993.