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 …

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 …

[图书][B] Post-optimal analysis in linear semi-infinite optimization

MA Goberna, MA López - 2014 - Springer
Linear semi-infinite optimization (LSIO) deals with linear optimization problems in which
either the dimension of the decision space or the number of constraints (but not both) is …

[HTML][HTML] Characterizing robust local error bounds for linear inequality systems under data uncertainty

TD Chuong, V Jeyakumar - Linear Algebra and its Applications, 2016 - Elsevier
We present necessary and sufficient conditions for the existence of robust local error bounds
for linear inequality system in the face of data uncertainty where the uncertain data belong to …

[HTML][HTML] Robust global error bounds for uncertain linear inequality systems with applications

TD Chuong, V Jeyakumar - Linear Algebra and its Applications, 2016 - Elsevier
In this paper, we examine global error bounds for a linear inequality system in the face of
data uncertainty by building upon recent developments in robust optimization, where the …

Sensitivity analysis in linear semi-infinite programming via partitions

MA Goberna, T Terlaky… - … of Operations Research, 2010 - pubsonline.informs.org
This paper provides sufficient conditions for the optimal value function of a given linear semi-
infinite programming (LSIP) problem to depend linearly on the size of the perturbations …

Stability in linear optimization and related topics. A personal tour

MA López - Top, 2012 - Springer
This paper is a kind of biased survey of the most representative and recent results on
stability for the linear optimization problem. Qualitative and quantitative approaches are …

Selected applications of linear semi-infinite systems theory

MA Goberna, AB Ridolfi, VN Vera de Serio - Vietnam Journal of …, 2020 - Springer
In this paper we, firstly, review the main known results on systems of an arbitrary (possibly
infinite) number of weak linear inequalities posed in the Euclidean space ℝ n R^n (ie, with n …

Post-optimal analysis of linear semi-infinite programs

MA Goberna - Optimization and Optimal Control: Theory and …, 2010 - Springer
Linear semi-infinite programming (LSIP) deals with linear optimization problems in which
either the dimension of the decision space or the number of constraints (but not both) is …

Some results on Lipschitz properties of the optimal values in semi-infinite programming

FJ Toledo - Optimization Methods & Software, 2008 - Taylor & Francis
This paper studies certain Lipschitz properties of the optimal value function of a linear semi-
infinite programming problem and its dual problem in the sense of Haar. In this setting, it is …