Generalized semi-infinite programming: Theory and methods

  title={Generalized semi-infinite programming: Theory and methods},
  author={Georg Still},
  journal={European Journal of Operational Research},
Generalized semi-infinite optimization problems (GSIP) are considered. The difference between GSIP and standard semi-infinite problems (SIP) is illustrated by examples. By applying the ’Reduction Ansatz’, optimality conditions for GSIP are derived. Numerical methods for solving GSIP are considered in comparison with methods for SIP. From a theoretical and a practical point of view it is investigated, under which assumptions a GSIP can be transformed into a SIP. 

From This Paper

Topics from this paper.


Publications citing this paper.
Showing 1-10 of 29 extracted citations


Publications referenced by this paper.
Showing 1-10 of 15 references

Computational numerical experiments in semi-infinite programming

I. D. Coope, C. J. Price
Comput. Optimiz. Appl. 6,169-189, • 1996
View 11 Excerpts
Highly Influenced

Generalized semi-infinite optimization: on some foundations

W. Weber
View 3 Excerpts
Highly Influenced

Numerical methods for semi-infinite programming: A survey, in ‘Semi-infinite Programming

S. Görner, R. Reemtsen
View 1 Excerpt

Disjunctive optimization: critical point theory

H. Th Jongen, J.-J. Rückmann, O. Stein
J. Optim. Theory Appl. 93, • 1997
View 1 Excerpt

On a class of terminal variational problems, in ’Parametric Optimization and Related Topics IV

A. Kaplan, R. Tichatschke
Guddat et al. (eds.), Peter Lang Verlag, Frankfurt a.M., • 1997
View 1 Excerpt

A Branch and Bound Approach for Solving a Class of Generalized Semi-Infinite Programming Problems

Universität Trier, Mathematik/Informatik, Forschungsbericht • 1996
View 1 Excerpt

Second order optimality conditions for generalized semiinfinite programming problems, Optimization

R. Hettich, G. Still
View 2 Excerpts

Still , Second order optimality conditions for generalized semi - infinite programming problems

G. R. Hettich

On reverse Chebyshev approximation problems , Technical University of Illmenau , Preprint No

A Hoffmann, R. Reinhardt

Similar Papers

Loading similar papers…