Stochastic approach versus multiobjective approach for obtaining efficient solutions in stochastic multiobjective programming problems

European Journal of Operational Research

Volumn 158, Issue 3, 2004, Pages 633-648

  Caballero, Rafael ^a   Cerdá, Emilio ^b   Del Mar Muñoz, María ^a   Rey, Lourdes ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Efficiency; Multiobjective approach; Stochastic approach; Stochastic multiobjective programming

Indexed keywords

DECISION MAKING; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; PROBLEM SOLVING; STOCHASTIC PROGRAMMING;

MULTIOBJECTIVE APPROACH; STOCHASTIC APPROACH; STOCHASTIC MULTIOBJECTIVE PROGRAMMING;

OPERATIONS RESEARCH;

EID: 2942596459     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(03)00371-0     Document Type: Article

References (14)

1. Ben Abdelaziz, F., 1992. L'efficacité en programmation multi-objectifs stochastique. Ph.D. Thesis, Université de Laval, Québec.
2. Ben Abdelaziz F., Lang P., Nadeau R. Distributional unanimity multiobjective stochastic linear programming. Clímaco J. Multicriteria Analysis: Proceedings of the XIth International Conference on MCDM. 1997;225-236 Springer-Verlag, Berlin.
3. Ben Abdelaziz F., Lang P., Nadeau R. Dominance and efficiency in multicriteria decision under uncertainty. Theory and Decision. 47:1999;191-211.
4. Caballero C., Cerdá E., Muñoz M.M., Rey L. Relations among several efficiency concepts in stochastic multiple objective programming. Research and Practice in Multiple Criteria Decision Making. Haimes Y.Y., Steuer R. Lectures Notes in Economics and Mathematical Systems. 2000;57-68 Springer-Verlag, Berlin, Germany.
5. Caballero R., Cerdá E., Muñoz M.M., Rey L., Stancu Minasian I.M. Efficient solution concepts and their relations in stochastic multiobjective programming. Journal of Optimization, Theory and Applications. 110(1):2001;53-74.
6. Goicoechea A., Hansen D.R., Duckstein L. Multiobjective decision analysis with engineering and business applications. 1982;John Wiley and Sons, New York.
7. Hogg R.V., Craig A.T. Introduction to Mathematical Statistics. 1989;MacMillan Publishing Co. New York.
8. Kall P., Wallace S.W. Stochastic Programming. 1994;John Wiley and Sons, Chichester.
9. Liu B., Iwamura K. Modelling stochastic decision systems using dependent-chance programming. European Journal of Operational Research. 101:1997;193-203.
10. Prékopa A. Stochastic Programming. 1995;Kluwer Academic Publishers, Dordrecht.
11. Sawaragi Y., Nakayama H., Tanino T. Theory of Multiobjective Optimization. 1985;Academic Press, New York.
12. Stancu-Minasian I.M. Stochastic Programming with Multiple Objective Functions. 1984;D. Reidel Publishing Company, Dordrecht.
13. Stancu-Minasian, I., Tigan, S., 1984. The vectorial minimum risk problem. In: Proceedings of the Colloquium on Approximation and Optimization, Cluj-Napoca, pp. 321-328.
14. White D.J. Optimality and Efficiency. 1982;John Wiley and Sons, Chichester.