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Solving large scale linear programming [PDF]
The interior point method (IPM) is now well established as a competitive technique for solving very large scale linear programming problems. The leading variant of the interior point method is the primal dual - predictor corrector algorithm due to ...
Hafsteinsson, H, Levkovitz, R, Mitra, G
core
An infeasible interior point methods for convex quadratic problems
In this paper, we deal with the study and implementation of an infeasible interior point method for convex quadratic problems (CQP). The algorithm uses a Newton step and suitable proximity measure for approximately tracing the central path and ...
Hayet Roumili, Nawel Boudjellal
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Short run hydrothermal coordination with network constraints using an interior point method
This paper presents a lineal optimization model to solve the hydrothermal coordination problem. The main contribution of this work is the inclusion of the network constraints to the hydrothermal coordination problem and its solution using an interior ...
Jesús María López Lezama +2 more
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In this paper, the problem of determining heat transfer from convecting-radiating fin of triangular and concave parabolic shapes is investigated.We consider one-dimensional, steady conduction in the fin and neglect radiative exchange between adjacent ...
Shivanian Elyas +2 more
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A cable tension calculation method based on an influence matrix and the interior point method is proposed for the optimization of cable tension of cable-stayed bridges with multiple performance indicators.
Yidong Huang, Yufeng Xu, Si Chen
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A conjugate direction method for approximating the analytic center of a polytope
The analytic center of an -dimensional polytope with a nonempty interior is defined as the unique minimizer of the logarithmic potential function over . It is shown that one cycle of a conjugate direction method, applied to the potential function at
Megiddo Nimrod +2 more
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Interior Point Methods for Nondifferentiable Optimization
We describe the analytic center cutting plane method and its relationship to classical methods of nondifferentiable optimization and column generation. Implementations issues are also discussed, and current applications listed.
Goffin, Jean-Louis, Vial, Jean-Philippe
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This paper proposes a methodology for solving the Transmission Expansion Planning Problem considering single contingencies (N-1) and future demand uncertainty.
Ricardo Andrés Bolaños Ocampo +1 more
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Worst-Case Linear Discriminant Analysis as Scalable Semidefinite Feasibility Problems
In this paper, we propose an efficient semidefinite programming (SDP) approach to worst-case linear discriminant analysis (WLDA). Compared with the traditional LDA, WLDA considers the dimensionality reduction problem from the worst-case viewpoint, which ...
Hengel, Anton van den +3 more
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Curvature continuity in arbitrary bicubic Bezier patches [PDF]
Two methods are outlined for imposing interpatch curvature continuity in existing Bezier bicubic patch surfaces. Each method assumes that coordinates of the corners of the patches can not be altered but the interior Bezier control point can.
Roach, Robert L.
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