Control of MMC converter integrated in HVDC link based on quadratic optimization approach

2016 ◽  
Author(s):  
Mohamed Moez Belhaouane ◽  
Frederic Colas ◽  
Francois Gruson ◽  
Naceur Benhadj Braiek ◽  
Xavier Guillaud
Keyword(s):  
Quadratic Optimization ◽  
Optimization Approach

A nonconvex quadratic optimization approach to the maximum edge weight clique problem

2018 ◽  
Vol 72 (2) ◽  
pp. 219-240 ◽  
Author(s):  
Seyedmohammadhossein Hosseinian ◽  
Dalila B. M. M. Fontes ◽  
Sergiy Butenko
Keyword(s):  
Quadratic Optimization ◽  
Edge Weight ◽  
Optimization Approach ◽  
Nonconvex Quadratic Optimization ◽  
Clique Problem

A Mixed-Integer Fractional Optimization Approach to Best Subset Selection

2021 ◽  
Author(s):  
Andrés Gómez ◽  
Oleg A. Prokopyev
Keyword(s):  
Optimization Problems ◽  
Subset Selection ◽  
Quadratic Optimization ◽  
Data Partitioning ◽  
Information Criteria ◽  
Computational Experiments ◽  
Mixed Integer ◽  
Optimization Approach ◽  
Fractional Optimization ◽  
Recent Advances

We consider the best subset selection problem in linear regression—that is, finding a parsimonious subset of the regression variables that provides the best fit to the data according to some predefined criterion. We are primarily concerned with alternatives to cross-validation methods that do not require data partitioning and involve a range of information criteria extensively studied in the statistical literature. We show that the problem of interest can be modeled using fractional mixed-integer optimization, which can be tackled by leveraging recent advances in modern optimization solvers. The proposed algorithms involve solving a sequence of mixed-integer quadratic optimization problems (or their convexifications) and can be implemented with off-the-shelf solvers. We report encouraging results in our computational experiments, with respect to both the optimization and statistical performance. Summary of Contribution: This paper considers feature selection problems with information criteria. We show that by adopting a fractional optimization perspective (a well-known field in nonlinear optimization and operations research), it is possible to leverage recent advances in mixed-integer quadratic optimization technology to tackle traditional statistical problems long considered intractable. We present extensive computational experiments, with both synthetic and real data, illustrating that the new fractional optimization approach is orders of magnitude faster than existing approaches in the literature.

Interactive multiobjective DEA target setting using lexicographic DDF

2020 ◽  
Vol 54 (6) ◽  
pp. 1703-1722 ◽  
Author(s):  
Narges Soltani ◽  
Sebastián Lozano
Keyword(s):  
Efficient Frontier ◽  
Directional Distance Function ◽  
Fixed Number ◽  
Optimization Approach ◽  
Target Setting ◽  
Interactive Process ◽  
Decision Making Unit ◽  
Setting Approach ◽  
Promising Area ◽  
Current Region

In this paper, a new interactive multiobjective target setting approach based on lexicographic directional distance function (DDF) method is proposed. Lexicographic DDF computes efficient targets along a specified directional vector. The interactive multiobjective optimization approach consists in several iteration cycles in each of which the Decision Making Unit (DMU) is presented a fixed number of efficient targets computed corresponding to different directional vectors. If the DMU finds one of them promising, the directional vectors tried in the next iteration are generated close to the promising one, thus focusing the exploration of the efficient frontier on the promising area. In any iteration the DMU may choose to finish the exploration of the current region and restart the process to probe a new region. The interactive process ends when the DMU finds its most preferred solution (MPS).

The Current Carbon Sink Structure of China's Staple Crop Production and Its Optimization Approach

2016 ◽  
Vol 18 (1) ◽  
pp. 114
Author(s):  
She Wei ◽  
Huang Huang ◽  
Guan Chunyun ◽  
Chen Fu ◽  
Chen Guanghui
Keyword(s):  
Crop Production ◽  
Carbon Sink ◽  
Optimization Approach ◽  
Staple Crop
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