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

Marco A. López

TOP - Transactions in Operations Research2026https://doi.org/10.1007/s11750-026-00713-warticle
AJG 1ABDC B
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0.50

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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.

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https://doi.org/https://doi.org/10.1007/s11750-026-00713-w

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@article{marco2026,
  title        = {{A brief tutorial on semi-infinite optimization: the model, applications and basic mathematical constructions}},
  author       = {Marco A. López},
  journal      = {TOP - Transactions in Operations Research},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1007/s11750-026-00713-w},
}

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0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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