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A brief tutorial on semi-infinite optimization: the model, applications and basic mathematical constructions
DOI:10.1007/s11750-026-00713-w.png)
Abstract
En 中文
This article provides a brief review of the fundamentals of semi-infinite optimization and presents a selection of applications in various fields, as well as a short tutorial on the mathematical approach to optimality theory for linear/convex and general models. Alternative formulations of the KKT optimality conditions are established, emphasizing the relevance of the (local) Farkas-Minkowski property as a constraint qualification. Some personal reminiscences are included at the end of the article.
Keywords:
Semi-infinite optimization
Applications of semi-infinite optimization
Farkas-Minkowski property
KKT optimality conditions
Algorithmic strategies

