Generalized Semi-Infinite Programming: Theory, Methods

Georg J. Still

doi:10.1016/S0377-2217(99)00132-0

Generalized Semi-Infinite Programming: Theory, Methods

Georg J. Still

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

62 Citations (Scopus)

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.

Original language	Undefined
Pages (from-to)	301-313
Number of pages	13
Journal	European journal of operational research
Volume	119
Issue number	119
DOIs	https://doi.org/10.1016/S0377-2217(99)00132-0
Publication status	Published - 1999

Keywords

Numerical methods
Semi-infinite programming
IR-74018
METIS-140567
Optimality conditions

Access to Document

10.1016/S0377-2217(99)00132-0

Cite this

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KW - Numerical methods

KW - Semi-infinite programming

KW - IR-74018

KW - METIS-140567

KW - Optimality conditions

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