A brief tutorial on semi-infinite optimization: the model, applications and basic mathematical constructions
Abstract
Abstract 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.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Risk and Portfolio Optimization
Publication details
- Journal / source
- Top
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 2 April 2026
- Language
- EN