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<p>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.</p>

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A brief tutorial on semi-infinite optimization: the model, applications and basic mathematical constructions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月2日

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  • Marco A. López

摘要

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.