In this paper, we survey the primary research on the theory and applications of
distributionally robust optimization (DRO). We start with reviewing the modeling power and …

This tutorial presents an introduction to generalized semi-infinite programming (GSIP) which
in recent years became a vivid field of active research in mathematical programming. A GSIP …

Many questions dealing with solvability, stability and solution methods for va-ational
inequalities or equilibrium, optimization and complementarity problems lead to the analysis …

A semi-infinite programming problem is an optimization problem in which finitely many
variables appear in infinitely many constraints. This model naturally arises in an abundant …

Semi-infinite optimization is a vivid field of active research. Recently semi infinite
optimization in a general form has attracted a lot of attention, not only because of its …

We consider a general worst-case robust convex optimization problem, with arbitrary
dependence on the uncertain parameters, which are assumed to lie in some given set of …

This paper presents an state-of-the-art survey on linear semi-infinite programming theory
and its extensions (in particular, convex semi-infinite programming). This review updates a …

Consider a multiobjective decision problem with uncertainty in the objective functions, given
as a set of scenarios. In the single-criterion case, robust optimization methodology helps to …

Many real‐world design problems involve optimization of expensive black‐box functions.
Bayesian optimization (BO) is a promising approach for solving such challenging problems …

In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem
with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs …