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Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraint
(2018)
Some topological and geometric characterizations of strong duality for a non convex optimization problem under a single equality and geometric constraints are established. In particular, a hidden convexity of the conic ...
A computational comparison of 2 mathematical formulations to handle transmission network constraints in the unit commitment problem
(2017)
Until recently, transmission network constraints have been incorporated into the unit commitment (UC) problem (security-constrained UC [SCUC]) using the classical direct current (DC)-based equation. This paper proposes a ...
Improving the Mathematical Formulation of the Unit Commitment with Transmission System Constraints
(2016)
The unit commitment problem is an optimization problem that economically schedules generating units over a planning horizon subject to operational constraints. This paper presents the solution to the unit commitment problem ...
Extended convergence results for the method of multipliers for nonstrictly binding inequality constraints
(PLENUM PUBL CORP, 1993)
In this paper, we extend the classical convergence and rate of convergence results for the method of multipliers for equality constrained problems to general inequality constrained problems, without assuming the strict ...
Fermion masses and mixings and dark matter constraints in a model with radiative seesaw mechanism
(2018)
We formulate a predictive model of fermion masses and mixings based on a Delta(27) family symmetry. In the quark sector the model leads to the viable mixing inspired texture where the Cabibbo angle comes from the down quark ...
Dissecting the Strong-lensing Galaxy Cluster MS 0440.5+0204. I. The Mass Density Profile
(The American Astronomical Society, 2020)
We present a parametric strong-lensing modeling of the galaxy cluster MS 0440.5+0204 (located at z = 0.19). We have performed a strong-lensing mass reconstruction of the cluster using three different models. The first model ...