Generalized semi-infinite programming: Numerical aspects

Optimization

Volumn 49, Issue 3, 2001, Pages 223-242

  Still, G ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Discretization methods; Numerical methods; Semi infinite programming

Indexed keywords

EID: 0000437101     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Görner, S. and Reemtsen, R. (1998). Numerical methods for semi-infinite programming: A survey, In: 'Semi-infinite Programming', Reemtsen/Rückmann (Eds.), Kluwer, Boston.
2. Guddat, J., Jongen, H. Th. and Rückmann, J. (1986). On stability and stationary points in nonlinear optimization, J. Australian Math. Soc., Series B, 28, 36-56.
3. Hettich, R. and Still, G. (1991). Semi-infinite programming models in Robotics, In: 'Parametric Optimization and Related Topics II', Guddat et al. (Eds.), Akademie Verlag, Berlin.
4. Hettich, R. and Kortanek, K. (1993). Semi-infinite programming: Theory, methods and applications, SIAM Review, 35(3), 380-429.
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6. Jongen, H. Th., Rückmann, J.-J. and Stein, O. (1998). Generalized semi-infinite optimization: A first order optimality condition and examples, Mathematical Programming, 83, 145-158.
7. Jongen, H. Th., Rückmann, J.-J. and Stein, O. (1997). Disjunctive optimization: critical point theory, J. Optim. Theory Appl., 93(2), 321-336.
8. Kaplan, A. and Tichatschke, R. (1997). On the numerical treatment of a class of terminal problems, Optimization, 41, 1-36.
9. Levitin, E. and Tichatschke, R. (1998). A branch and bound approach for solving a class of generalized semi-infinite programming problems, J. of Global Optimization, 13, 299-315.
10. Rückmann, J.-J. and Shapiro, A. (1999). On first order optimality conditions in generalized semi-infinite programming, J. Optim. Theory Appl., 101(3), 677-691.
11. Stein, O. (1998). On the level sets of marginal functions, University of Aachen, Preprint No. 80.
12. Still, G. (1999). Generalized semi-infinite programming: Theory and methods, European Journal of Operational Research, 119, 301-313.
13. Still, G., Generalized semi-infinite programming: Computational experiments with numerical methods, in preparation.