Experiments with classification-based scalarizing functions in interactive multiobjective optimization

European Journal of Operational Research

Volumn 175, Issue 2, 2006, Pages 931-947

  Miettinen, Kaisa ^a   Mäkelä, Marko M ^b   Kaario, Katja ^b  

^a HELSINKI SCHOOL OF ECONOMICS   (Finland)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

Classification; Guaranteeing Pareto optimality; Interactive methods; Multiple objective programming; Test problems

Indexed keywords

CLASSIFICATION (OF INFORMATION); COMPUTATIONAL METHODS; COSTS; FUNCTIONS; NUMERICAL METHODS; OPTIMIZATION; PROBLEM SOLVING;

GUARANTEEING PARETO OPTIMALITY; INTERACTIVE METHODS; MULTIPLE OBJECTIVE PROGRAMMING; TEST PROBLEMS;

OPERATIONS RESEARCH;

EID: 33748431111     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2005.06.019     Document Type: Article

References (24)

1. Buchanan J., and Gardiner L. A comparison of two reference point methods in multiple objective mathematical programming. European Journal of Operational Research 149 (2003) 17-34
2. Chankong V., and Haimes Y.Y. Multiobjective Decision Making-Theory and Methodology (1983), North-Holland, New York
3. Caballero R., Rey L., and Ruiz F. Determination of satisfying and efficient solutions in convex multi-objective programming. Optimization 37 2 (1996) 125-137
4. Caballero R., Rey L., and Ruiz F. Lexicographic improvement of the target values in convex goal programming. European Journal of Operational Research 107 3 (1998) 644-655
5. Galperin E.A., and Wiecek M.M. Retrieval and use of the balance set in multiobjective global optimization. Computers and Mathematics with Applications 37 (1999) 111-123
6. Hwang C.L., and Masud A.S.M. Multiple Objective Decision Making-Methods and Applications: A State-of-the-Art Survey (1979), Springer-Verlag, Berlin
7. Larichev O. Cognitive validity in design of decision aiding techniques. Journal of Multi-Criteria Decision Analysis 1 3 (1992) 127-138
8. Mäkelä M.M., and Neittaanmäki P. Nonsmooth Optimization: Analysis and Algorithms with Applications to Optimal Control (1992), World Scientific Publishing Co., Singapore
9. Miettinen K. Nonlinear Multiobjective Optimization (1999), Kluwer Academic Publishers, Boston
10. Miettinen K., Lotov A.V., Kamenev G.K., and Berezkin V.E. Integration of two multiobjective optimization methods for nonlinear problems. Optimization Methods and Software 18 1 (2003) 63-80
11. Miettinen K., and Mäkelä M.M. Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Optimization 34 3 (1995) 231-246
12. K. Miettinen, M.M. Mäkelä, Interactive method NIMBUS for nondifferentiable multiobjective optimization problems, in: J. Clímaco (Ed.), Multicriteria Analysis, Proceedings of the XIth International Conference on Multiple Criteria Decision Making, Springer-Verlag, Berlin, Heidelberg, 1997, pp. 310-319.
13. Miettinen K., and Mäkelä M.M. Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. Journal of the Operational Research Society 50 (1999) 949-959
14. Miettinen K., and Mäkelä M.M. On scalarizing functions in multiobjective optimization. OR Spectrum 24 (2002) 193-213
15. K. Miettinen, M.M. Mäkelä. Synchronous approach in interactive multiobjective optimization, European Journal of Operational Research, in press, doi:10.1016/j.ejor.2004.07.052.
16. Miettinen K., Mäkelä M.M., and Toivanen J. Numerical comparison of some penalty-based constraint handling techniques in genetic algorithms. Journal of Global Optimization 27 4 (2003) 427-446
17. Narula S.C., and Weistroffer H.R. A flexible method for nonlinear multicriteria decisionmaking problems. IEEE Transactions on Systems, Man, and Cybernetics 19 4 (1989) 883-887
18. Sakawa M. Interactive multiobjective decision making by the sequential proxy optimization technique: SPOT. European Journal of Operational Research 9 (1982) 386-396
19. Sakawa M., and Mori N. Interactive multiobjective decision making for nonconvex problems based on the weighted Tchebycheff norm. Large Scale Systems 5 (1983) 69-82
20. Sakawa M., and Yauchi K. An interactive fuzzy satisficing method for multiobjective nonconvex programming problems through floating point genetic algorithm. European Journal of Operational Research 117 1 (1999) 113-124
21. Sawaragi Y., Nakayama H., and Tanino T. Theory of Multiobjective Optimization (1985), Academic Press Inc., Orlando, Florida
22. Steuer R.E., and Choo E.-U. An interactive weighted Tchebycheff procedure for multiple objective programming. Mathematical Programming 26 (1983) 326-344
23. Wierzbicki A.P. Mathematical basis for satisficing decision making. Mathematical Modelling 3 (1982) 391-405
24. Wierzbicki A.P. Reference point approaches. In: Gal T., Stewart T.J., and Hanne T. (Eds). Multicriteria Decision Making: Advances in MCDM Models, Algorithms, Theory, and Applications (1999), Kluwer Academic Publishers, Boston 9-1-9-39