Generalized semi-infinite programming: Theory and methods

Generalized semi-infinite programming: Theory and methods

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Article ID: iaor20003771
Country: Netherlands
Volume: 119
Issue: 2
Start Page Number: 301
End Page Number: 313
Publication Date: Dec 1999
Journal: European Journal of Operational Research
Authors:
Abstract:

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 an SIP.

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