Generalized semi-infinite programming: Theory and methods

@article{Still1999GeneralizedSP,
  title={Generalized semi-infinite programming: Theory and methods},
  author={Georg Still},
  journal={European Journal of Operational Research},
  year={1999},
  volume={119},
  pages={301-313}
}
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. 

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