The effects of adding objectives to an optimisation problem on the solution set

Operations Research Letters

Volumn 35, Issue 6, 2007, Pages 782-790

  Fliege, Jörg ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Efficient points; Multicriteria optimisation; Pareto points; Stability; Vector optimisation

Indexed keywords

MATHEMATICAL MODELS; OPTIMIZATION; SET THEORY; VALUE ENGINEERING;

MULTICRITERIA OPTIMIZATION; PARETO POINTS; VECTOR OPTIMIZATION;

PROBLEM SOLVING;

EID: 34748833003     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2007.01.006     Document Type: Article

References (11)

1. Arrow K.J., Barankin E.W., and Blackwell D. Admissible points of convex sets. In: Kuhn H.W., and Tucker A.W. (Eds). Contributions to the Theory of Games (1953), Princeton University Press, Princeton, New Jersey 481-492
2. Bonnans J.F., and Shapiro A. Perturbation Analysis of Optimization Problems, Springer Series in Operations Research (2000), Springer, New York, Berlin, Heidelberg
3. Durier R. Weighting factor results in vector optimization. J. Optim. Theory Appl. 58 3 (1988) 411-430
4. Gale D. The Theory of Linear Economic Models (1960), McGraw-Hill, New York
5. Geoffrion A.M. Proper efficiency and the theory of vector maximization. J. Optim. Theory Appl. 22 (1968) 618-630
6. Jahn J. Vector Optimization: Theory, Applications and Methods (2004), Springer, Berlin, Heidelberg, New York, Hong Kong, London, Milan, Paris, Tokyo
7. Sach P.H. Nearly subconvexlike set-valued maps and vector optimization problems. J. Optim. Theory Appl. 119 (2003) 335-356
8. Sawaragi Y., Nakayama H., and Tanino T. Theory of Multiobjective Optimization. Mathematics in Science and Engineering vol. 176 (1985), Academic Press, Orlando, San Diego, New York, London
9. Yang X.M., Li D., and Wang S.Y. Nearly subconvexlikeness in vector optimization with set-valued functions. J. Optim. Theory Appl. 110 (2001) 413-427
10. Yang X.M., Yang X.Q., and Chen G.Y. Theorems of alternative and optimization with set-valued maps. J. Optim. Theory Appl. 107 (2001) 627-640
11. Zeng R. A general gordan alternative theorem with weakened convexity and its applications. Optimization 51 (2002) 709-717