Suchergebnisse - finite-dimensional linear programming problem
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The Difference between Finite Dimensional Linear Programming Problems and Infinite Dimensional Linear Programming Problems
ISSN: 0022-247X, 1096-0813Veröffentlicht: Elsevier Inc 01.03.1997Veröffentlicht in Journal of mathematical analysis and applications (01.03.1997)“… 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
ISSN: 0926-6003, 1573-2894Veröffentlicht: New York Springer US 01.09.2020Veröffentlicht in Computational optimization and applications (01.09.2020)“… (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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On the forces that cable webs under tension can support and how to design cable webs to channel stresses
ISSN: 1364-5021Veröffentlicht: England 01.03.2019Veröffentlicht in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01.03.2019)“… , , …, 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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Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method
ISSN: 0143-2087, 1099-1514Veröffentlicht: Glasgow Wiley Subscription Services, Inc 01.01.2020Veröffentlicht in Optimal control applications & methods (01.01.2020)“… ‐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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Numerical enclosures of the optimal cost of the Kantorovitch’s mass transportation problem
ISSN: 0926-6003, 1573-2894Veröffentlicht: New York Springer US 01.04.2016Veröffentlicht in Computational optimization and applications (01.04.2016)“… 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
ISSN: 0029-599X, 0945-3245Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2024Veröffentlicht in Numerische Mathematik (01.08.2024)“… ) 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
ISSN: 0096-3003, 1873-5649Veröffentlicht: New York, NY Elsevier Inc 15.07.2007Veröffentlicht in Applied mathematics and computation (15.07.2007)“… 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
ISSN: 0096-3003, 1873-5649Veröffentlicht: New York, NY Elsevier Inc 15.04.2006Veröffentlicht in Applied mathematics and computation (15.04.2006)“… : 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 an optimal shape design problem to control a thermoelastic deformation under a prescribed thermal treatment
ISSN: 0307-904XVeröffentlicht: New York, NY Elsevier Inc 01.04.2007Veröffentlicht in Applied mathematical modelling (01.04.2007)“… 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 solving constrained shape optimization problems for finding the optimum shape of a bar cross-section
ISSN: 0168-9274, 1873-5460Veröffentlicht: Amsterdam Elsevier B.V 01.08.2008Veröffentlicht in Applied numerical mathematics (01.08.2008)“… 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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Optimal shape design of iron pole section of electromagnet
ISSN: 0375-9601, 1873-2429Veröffentlicht: Elsevier B.V 05.05.2008Veröffentlicht in Physics letters. A (05.05.2008)“… 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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A Linearization Technique for Solving General 3-D Shape Optimization Problems in Spherical Coordinates
ISSN: 1017-060X, 1735-8515Veröffentlicht: Singapore Springer Singapore 01.08.2018Veröffentlicht in Bulletin of the Iranian Mathematical Society (01.08.2018)“… 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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Slot nozzle design with specified pressure in a given subregion by using embedding method
ISSN: 0096-3003, 1873-5649Veröffentlicht: New York, NY Elsevier Inc 15.09.2005Veröffentlicht in Applied mathematics and computation (15.09.2005)“… 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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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
ISSN: 1060-0396, 1573-8337Veröffentlicht: New York Springer US 01.03.2024Veröffentlicht in Cybernetics and systems analysis (01.03.2024)“… 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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Numerical methods for solving terminal optimal control problems
ISSN: 0965-5425, 1555-6662Veröffentlicht: Moscow Pleiades Publishing 01.02.2016Veröffentlicht in Computational mathematics and mathematical physics (01.02.2016)“… 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 Location of Heat Sources Inside Areas with Complex Geometric Shapes
ISSN: 2070-0482, 2070-0490Veröffentlicht: Moscow Pleiades Publishing 01.11.2019Veröffentlicht in Mathematical models and computer simulations (01.11.2019)“… Finite-dimensional approximations of the original problem are constructed in the form of a linear programming problem …”
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Controller design with multiple objectives
ISSN: 0018-9286Veröffentlicht: New York, NY IEEE 01.05.1997Veröffentlicht in IEEE transactions on automatic control (01.05.1997)“… We develop a uniform treatment of such problems by showing their equivalence to linear programming problems with equality constraints and an appropriate positive cone …”
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Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.09.2023Veröffentlicht in Set-valued and variational analysis (01.09.2023)“… 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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Stochastic Nonlinear Control Via Finite-Dimensional Spectral Dynamics Embedding
ISSN: 0018-9286, 1558-2523Veröffentlicht: IEEE 2025Veröffentlicht in IEEE transactions on automatic control (2025)“… For practical implementation, this representation is approximated using finite-dimensional trucations, specifically via two prominent kernel approximation methods …”
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Optimal bidding strategy for integrated energy system participating in spot power market: A Wasserstein metric based DRO method
ISSN: 0360-5442Veröffentlicht: Elsevier Ltd 01.07.2025Veröffentlicht in Energy (Oxford) (01.07.2025)“… The ongoing reforms in electricity markets have pushed energy producers and consumers to confront an increasingly uncertain market environment. The integrated …”
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