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Modeling of discrete/continuous optimization problems: Characterization and formulation of disjunctions and their relaxations
(Pergamon-Elsevier Science Ltd, 2003-03-15)
This paper addresses the relaxations in alternative models for disjunctions, big-M and convex hull model, in order to develop guidelines and insights when formulating Mixed-Integer Non-Linear Programming (MINLP), Generalized ...
Some advances on Lovász-Schrijver semidefinite programming relaxations of the fractional stable set polytope
(Elsevier Science, 2014-02)
We study Lovász and Schrijver's hierarchy of relaxations based on positive semidefiniteness constraints derived from the fractional stable set polytope. We show that there are graphs G for which a single application of the ...
On the facets of the lift-and-project relaxations of graph subdivisions
(Elsevier, 2011-08)
We study the behavior of lift-and-project procedures for solving combinatorial optimization problems as described by Lovász and Schrijver (1991), in the context of the stable set problem on graphs. Following the work of ...
Effects of binary variables in mixed integer linear programming based unit commitment in large-scale electricity markets
(Elsevier Science SA, 2018-07)
Mixed integer linear programming is one of the main approaches used to solve unit commitment problems. Due to the computational complexity of unit commitment problems, several researches remark the benefits of using less ...
Influence of exchange in NMR pore size/relaxation correlation experiments
(Elsevier Science, 2018-10)
The influence of molecular exchange in porous polymeric systems on experiments that simultaneously correlate and determine pore length scales and surface relaxivities is studied. Pore length scales are determined by taking ...
Lagrangean relaxation for the geographical partitioning problemRelajacion lagrangeana para el problema de particionamiento de áreas geográficas
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2012)
A second-order cone programming reformulation of the economic dispatch problem of bess for apparent power compensation in ac distribution networks
(MDPI, 2020-10)
The problem associated with economic dispatch of battery energy storage systems (BESSs) in alternating current (AC) distribution networks is addressed in this paper through convex optimization. The exact nonlinear programming ...