Minimax reference point approach and its application for multiobjective optimization

European Journal of Operational Research

Volumn 126, Issue 3, 2000, Pages 541-556

  Yang, Jian Bo ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DECISION MAKING; DECISION THEORY; MATHEMATICAL PROGRAMMING;

GOAL PROGRAMMING; MINIMAX REFERENCE POINT METHOD; MULTIOBJECTIVE OPTIMIZATION METHOD; SHIP DESIGN MODELS;

DECISION SUPPORT SYSTEMS;

EID: 0034325721     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00309-4     Document Type: Article

References (21)

1. Chankong V., Haimes Y.Y. Multiobjective Decision Making: Theory and Methodology. 1983;North-Holland, New York.
2. Charnes A., Cooper W.W. Goal programming and multiple objective optimisation - Part I. European Journal of Operational Research. 1:1977;39-54.
3. Geoffrion A.M., Dyer J.S., Feinberg A. An interactive approach for multicriteria optimisation, with an application to the operation of an academic department. Management Science. 19(4):1972;357-368.
4. Hillier, F.S., Lieberman, G.J., 1990. Introduction to Operations Research, Fifth Edition. McGraw-Hill, New York.
5. Jacquet-Lagreze E., Siskos Y. Assessing a set of additive utility functions for multicriteria decision making, the UTA method. European Journal of Operational Research. 10:1982;151-164.
6. Jacquet-Lagreze E., Meziani R., Slowinski R. MOLP with an interactive assessment of a piecewise utility function. European Journal of Operational Research. 31(3):1987;350-357.
7. Li D. Convexification of noninferior frontier. Journal of Optimisation Theory and Applications. 88(1):1996;177-196.
8. Li D., Yang J.B. Iterative parametric minimax method for a class of composite optimisation problems. Journal of Mathematical Analysis and Applications. 198:1996;64-83.
9. Lightner M.R., Director S.W. Multiple criterion optimisation for the design of electronic circuits. IEEE Transactions on Circuits and Systems. 28/3:1981;169-179.
10. Sen P., Yang J.B. Multiple criteria decision making in design selection and synthesis. Journal of Engineering Design. 6(3):1995;207-230.
11. Sen, P., Yang, J.B., 1998. Multiple Criteria Decision Support in Engineering Design. Springer, Berlin.
12. Steuer R.E., Choo E.U. An interactive weighted Tchebycheff procedure for multiple objective programming. Mathematical Programming. 26:1983;326-344.
13. Vanderpooten D., Vincke P. Description and analysis of some representative interactive multicriteria procedures. Mathematical and Computer Modelling. 12:1989;1221-1238.
14. White D.J. Weighting factor extensions for finite multiple objective vector minimisation problems. European Journal of Operational Research. 36:1988;256-265.
15. Wierzbicki, A.P., 1980. The use of reference objectives in multiobjective optimisation. In: Fandel, G., Gal, T. (Eds.), MCDM Theory and Application, Proceedings Hagen/Königswinter, F.R.G., 1979, LNEMS, vol. 177. Springer, Berlin, pp. 468-486.
16. Wierzbicki A.P. A mathematical basis for satisficing decision making. Mathematical Modelling. 3:1982;391-405.
17. Yang J.B., Chen C., Zhang Z.J. The interactive step trade-off method (ISTM) for multiobjective optimisation. IEEE Transactions on Systems, Man, and Cybernetics. 20(3):1990;688-695.
18. Yang, J.B., 1996. Multiple Criteria Decision Making Methods and Applications. Hunan Publishing House, Changsha, P.R. China.
19. Yang J.B., Sen P. Preference modelling by estimating local utility functions for multiobjective optimisation. European Journal of Operational Research. 95:1996;115-138.
20. Yang J.B., Sen P. Interactive tradeoff analysis and preference modelling for preliminary multiobjective ship design. Systems Analysis, Modelling, and Simulation. 26:1996;25-55.
21. Yang J.B. Gradient projection and local region search for multiobjective optimisation. European Journal of Operational Research. 112:1999;432-459.