Recent contributions to linear semi-infinite optimization: an update

MA Goberna, MA López - Annals of Operations Research, 2018 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …

Optimality conditions and duality for robust nonsmooth multiobjective optimization problems with constraints

J Chen, E Köbis, JC Yao - Journal of Optimization Theory and Applications, 2019 - Springer
In this paper, we investigate a robust nonsmooth multiobjective optimization problem related
to a multiobjective optimization with data uncertainty. We firstly introduce two kinds of …

Robust solutions to multi-objective linear programs with uncertain data

MA Goberna, V Jeyakumar, G Li… - European Journal of …, 2015 - Elsevier
In this paper we examine multi-objective linear programming problems in the face of data
uncertainty both in the objective function and the constraints. First, we derive a formula for …

Optimality and duality for robust multiobjective optimization problems

TD Chuong - Nonlinear Analysis, 2016 - Elsevier
This paper deals with a robust multiobjective optimization problem involving
nonsmooth/nonconvex real-valued functions. We establish necessary/sufficient optimality …

Recent contributions to linear semi-infinite optimization

MA Goberna, MA López - 4OR, 2017 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …

Robust optimality and duality in multiobjective optimization problems under data uncertainty

TD Chuong - SIAM Journal on Optimization, 2020 - SIAM
In this paper, we employ advanced techniques of variational analysis and generalized
differentiation to examine robust optimality conditions and robust duality for an uncertain …

Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty

X Sun, KL Teo, J Zeng, L Liu - Optimization, 2020 - Taylor & Francis
In this paper, we deal with robust approximate quasi optimal solutions for a class of
nonlinear semi-infinite programming with data uncertainty (USIP) in both the objective and …

On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems

JH Lee, GM Lee - Annals of Operations Research, 2018 - Springer
In this paper, we consider a semi-infinite multiobjective optimization problem with more than
two differentiable objective functions and uncertain constraint functions, which is called a …

Decision uncertainty in multiobjective optimization

G Eichfelder, C Krüger, A Schöbel - Journal of Global Optimization, 2017 - Springer
In many real-world optimization problems, a solution cannot be realized in practice exactly
as computed, eg, it may be impossible to produce a board of exactly 3.546 mm width …

Robust multiobjective optimization for decision making under uncertainty and conflict

MM Wiecek, GM Dranichak - Optimization challenges in …, 2016 - pubsonline.informs.org
Many real-life problems in engineering, business, and management are characterized by
multiple, conflicting objectives, as well as the presence of uncertainty. The conflicting criteria …