Search Results - finite-dimensional linear programming problems

The Difference between Finite Dimensional Linear Programming Problems and Infinite Dimensional Linear Programming Problems by Ho, Tvu-Ying, Lur, Yuung-Yih, Wu, Soon-Yi

“…This paper studies the difference between finite-dimensional linear programming problems and infinite dimensional linear programming problems…”
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Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis by Delanoue, Nicolas, Lhommeau, Mehdi, Lagrange, Sébastien

“… (weak formulation). Thanks to Interval arithmetic, we provide a relaxation of this infinite-dimensional linear programming problem by a finite dimensional linear programming problem…”
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Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method by Elgindy, Kareem T., Karasözen, Bülent

“…‐dimensional, nonlinear programming problems subject to linear algebraic system of equations and discrete mixed path inequality constraints that can be solved easily using standard optimization software…”
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On the forces that cable webs under tension can support and how to design cable webs to channel stresses by Bouchitté, Guy, Mattei, Ornella, Milton, Graeme W, Seppecher, Pierre

“… ,  , …,  in the two- and three-dimensional cases. Specifically, the existence of a web is guaranteed by a necessary and sufficient condition on the loading which corresponds to a finite dimensional linear programming problem…”
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Numerical enclosures of the optimal cost of the Kantorovitch’s mass transportation problem by Delanoue, Nicolas, Lhommeau, Mehdi, Lucidarme, Philippe

“… The problem is relaxed to a finite dimensional linear programming problem whose optimum is a lower bound to the optimum of the initial one…”
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A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws by Cardoen, Clément, Marx, Swann, Nouy, Anthony, Seguin, Nicolas

“…) solutions, satisfying linear equations in the space of Borel measures. The infinite-dimensional linear problem is approximated by a hierarchy of convex, finite-dimensional, semidefinite programming problems, called Lasserre’s hierarchy…”
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An applicable method for solving the shortest path problems by Zamirian, M., Farahi, M.H., Nazemi, A.R.

“… The optimal measure representing the shortest path problem is approximated by the solution of a finite dimensional linear programming problem…”
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The minimization of the fuel costs in the train transportation by Effati, S., Roohparvar, H.

“…: how to drive a train so as to minimize fuel costs. In the first method, we optimal control problem to using of atomic measures change this one to an infinite dimensional linear programming problem and then we approximate the latter one to a finite…”
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On solving constrained shape optimization problems for finding the optimum shape of a bar cross-section by Mehne, H.H.

“… The optimization problem in measure space is then approximated by a linear programming problem. The optimal measure representing optimal shape is approximated by the solution of this finite dimensional linear programming problem…”
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On an optimal shape design problem to control a thermoelastic deformation under a prescribed thermal treatment by Mehne, H.H., Farahi, M.H., Esfahani, J.A.

“… The optimization problem in measure space is then approximated by a linear programming problem. The optimal measure representing optimal shape is approximated by the solution of this finite-dimensional linear programming problem…”
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Equivalence of the Fundamental Spline and Green’s Function in Constructing an Exact Finite-Dimensional Analog of the Boundary-Value Problem for an Ordinary Differential Equation of the Fourth Order by Prikazchikov, V.

“… A system of linear algebraic equations with a 5-diagonal matrix is obtained for the values of the exact solutions of the original problem at the points of a uniform grid…”
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A Linearization Technique for Solving General 3-D Shape Optimization Problems in Spherical Coordinates by Fakharzadeh Jahromi, Alireza, Goodarzi, Mina

“… First, the problem is converted into an infinite-dimensional linear programming one. Then, using approximation scheme and a special way for discretization…”
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Numerical methods for solving terminal optimal control problems by Gornov, A. Yu, Tyatyushkin, A. I., Finkelstein, E. A.

“… In the solution of problems with direct control constraints, the variation of the control is computed using a finite-dimensional approximation of an auxiliary problem, which is solved by applying…”
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Optimal shape design of iron pole section of electromagnet by Nazemi, A.R., Farahi, M.H., Mehne, H.H.

“… To do so, an embedding procedure is applied. The resulting problem can be approximated by a finite-dimensional linear programming problem…”
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Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces by Liu, Haoyang, Wu, Jia, Zhang, Liwei

“…A norm cone in a finite dimensional Euclidean space is the epigraph of a norm. Many important practical optimization problems are formulated as norm conic…”
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Slot nozzle design with specified pressure in a given subregion by using embedding method by Mehne, H.H., Farahi, M.H., Esfahani, J.A.

“… linear programming problem. The optimal measure representing optimal shape is approximated by the solution of a finite dimensional linear programming problem…”
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Optimal Location of Heat Sources Inside Areas with Complex Geometric Shapes by Osipov, O. V., Brusentsev, A. G.

“… Finite-dimensional approximations of the original problem are constructed in the form of a linear programming problem…”
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Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1-gain and L∞-gain characterization by Briat, Corentin

“… The approach is then extended to robust stabilization and performance optimization. The obtained results are expressed in terms of robust linear programming problems that are equivalently turned into finite dimensional ones using Handelman's theorem…”
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Stochastic Nonlinear Control Via Finite-Dimensional Spectral Dynamics Embedding by Ren, Zhaolin, Ren, Tongzheng, Ma, Haitong, Li, Na, Dai, Bo

“… For practical implementation, this representation is approximated using finite-dimensional trucations, specifically via two prominent kernel approximation methods…”
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Strong-Weak Nonlinear Bilevel Problems: Existence of Solutions in a Sequential Setting by Aboussoror, Abdelmalek, Adly, Samir, Saissi, Fatima Ezzahra

“… and linear finite dimensional case…”
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