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 …

Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty

MA Goberna, V Jeyakumar, G Li… - SIAM Journal on …, 2014 - SIAM
The multiobjective optimization model studied in this paper deals with simultaneous
minimization of finitely many linear functions subject to an arbitrary number of uncertain …

[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 …

Automated treatment planning for a dedicated multi‐source intracranial radiosurgery treatment unit using projected gradient and grassfire algorithms

K Ghobadi, HR Ghaffari, DM Aleman… - Medical …, 2012 - Wiley Online Library
Purpose: The purpose of this work is to develop a framework to the inverse problem for
radiosurgery treatment planning on the Gamma Knife® Perfexion™(PFX) for intracranial …

A convex optimization approach to radiation treatment planning with dose constraints

A Fu, B Ungun, L Xing, S Boyd - Optimization and engineering, 2019 - Springer
We present a method for handling dose constraints as part of a convex programming
framework for inverse treatment planning. Our method uniformly handles mean dose …

A preliminary study on a multiresolution‐level inverse planning approach for Gamma Knife radiosurgery

Z Tian, X Yang, M Giles, T Wang, H Gao… - Medical …, 2020 - Wiley Online Library
Purpose With many plan variables to determine, manual forward planning for Gamma Knife
(GK) radiosurgery is very challenging. Inverse planning eases GK planning by determining …

Constraint generation methods for robust optimization in radiation therapy

H Mahmoudzadeh, TG Purdie, TCY Chan - Operations research for health …, 2016 - Elsevier
We develop a constraint generation solution method for robust optimization problems in
radiation therapy in which the problems include a large number of robust constraints. Each …

On semidefinite representations of second-order conic optimization problems

P Sampourmahani, M Mohammadisiahroudi… - arXiv preprint arXiv …, 2023 - arxiv.org
Second-order conic optimization (SOCO) can be considered as a special case of
semidefinite optimization (SDO). In the literature it has been advised that a SOCO problem …

A new warmstarting strategy for the primal-dual column generation method

J Gondzio, P González-Brevis - Mathematical Programming, 2015 - Springer
This paper presents a new warmstarting technique in the context of a primal-dual column
generation method applied to solve a particular class of combinatorial optimization …