Exponential transformation in convexifying a noninferior frontier and exponential generating method

Journal of Optimization Theory and Applications

Volumn 99, Issue 1, 1998, Pages 183-199

  Li, D ^a   Biswal, M P ^b  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Convexification; Exponential generating method; Multiobjective optimization; Nonconvex optimization; Noninferior frontier

Indexed keywords

CONVEXIFICATION; EXPONENTIAL GENERATING METHOD; EXPONENTIALS; GENERATING METHODS; MULTI-OBJECTIVES OPTIMIZATION; NONCONVEX; NONCONVEX OPTIMIZATION; NONCONVEX-OPTIMIZATION; NONINFERIOR FRONTIER; OBJECTIVE SPACE;

MULTIOBJECTIVE OPTIMIZATION;

EID: 0039990266     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021708412776     Document Type: Article

References (13)

1. CHANKONG, V., and HAIMES, Y. Y., Multiobjective Decision Making Theory and Methodology, Elsevier Science Publishing, North Holland, Amsterdam, Holland, 1983.
2. YU, P. L., Multicriteria Decision Making: Concepts, Techniques, and Extensions, Plenum, New York, New York, 1985.
3. CHANKONG, V., and HAIMES, Y. Y., On the Characterization of Noninferior Solutions of the Vector Optimization Problem, Automatica, Vol. 18, pp. 697-707, 1982.
4. WIERZBICKI, A. P., On the Completeness and Constructiveness of Parametric Characterizations to Vector Optimization Problems, OR Spektrum, Vol. 8, pp. 73-87, 1986.
5. GEARHART, W. B., Characterization of Properly Efficient Solutions by Generalized Scalarization Methods, Journal of Optimization Theory and Applications, Vol. 41, pp. 491-502, 1983.
6. GEARHART, W. B., Families of Differentiable Scalarization Functions, Journal of Optimization Theory and Applications, Vol. 62, pp. 321-332, 1989.
7. YU, P. L., Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives, Journal of Optimization Theory and Applications, Vol. 14, pp. 319-377, 1974.
8. LI, D., Convexification of Noninferior Frontier, Journal of Optimization Theory and Applications, Vol. 88, pp. 177-196, 1996.
9. GEOFFRION, A. M., Proper Efficiency and the Theory of Vector Maximization, Journal of Mathematical Analysis and Applications, Vol. 22, pp. 613-630, 1968.
10. MUIR, T., and METZLER, W. H., A Treatise of the Theory of Determinants, Dover, New York, New York, 1960.
11. HORST, R., On the Convexification of Nonlinear Programming Problems: An Applications-Oriented Survey, European Journal of Operational Research, Vol. 15, pp. 382-392, 1984.
12. LI, D., Zero Duality Gap for a Class of Nonconvex Optimization Problems, Journal of Optimization Theory and Applications, Vol. 85, pp. 309-324, 1995.
13. MADDEN, P., Concavity and Optimization in Microeconomics, Basil Blackwell, Oxford, England, 1986.