Suchergebnisse - finite-dimensional linear programming problems

  1. 1

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

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Elsevier Inc 01.03.1997
    Veröffentlicht 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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  2. 2

    Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis von Delanoue, Nicolas, Lhommeau, Mehdi, Lagrange, Sébastien

    ISSN: 0926-6003, 1573-2894
    Veröffentlicht: New York Springer US 01.09.2020
    Veröffentlicht 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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  3. 3

    Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method von Elgindy, Kareem T., Karasözen, Bülent

    ISSN: 0143-2087, 1099-1514
    Veröffentlicht: Glasgow Wiley Subscription Services, Inc 01.01.2020
    Veröffentlicht 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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  4. 4

    On the forces that cable webs under tension can support and how to design cable webs to channel stresses von Bouchitté, Guy, Mattei, Ornella, Milton, Graeme W, Seppecher, Pierre

    ISSN: 1364-5021
    Veröffentlicht: England 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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  5. 5

    Numerical enclosures of the optimal cost of the Kantorovitch’s mass transportation problem von Delanoue, Nicolas, Lhommeau, Mehdi, Lucidarme, Philippe

    ISSN: 0926-6003, 1573-2894
    Veröffentlicht: New York Springer US 01.04.2016
    Veröffentlicht 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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  6. 6

    A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws von Cardoen, Clément, Marx, Swann, Nouy, Anthony, Seguin, Nicolas

    ISSN: 0029-599X, 0945-3245
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2024
    Veröffentlicht 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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  7. 7

    An applicable method for solving the shortest path problems von Zamirian, M., Farahi, M.H., Nazemi, A.R.

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: New York, NY Elsevier Inc 15.07.2007
    Veröffentlicht 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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  8. 8

    The minimization of the fuel costs in the train transportation von Effati, S., Roohparvar, H.

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: New York, NY Elsevier Inc 15.04.2006
    Veröffentlicht 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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  9. 9

    On solving constrained shape optimization problems for finding the optimum shape of a bar cross-section von Mehne, H.H.

    ISSN: 0168-9274, 1873-5460
    Veröffentlicht: Amsterdam Elsevier B.V 01.08.2008
    Veröffentlicht 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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  10. 10

    On an optimal shape design problem to control a thermoelastic deformation under a prescribed thermal treatment von Mehne, H.H., Farahi, M.H., Esfahani, J.A.

    ISSN: 0307-904X
    Veröffentlicht: New York, NY Elsevier Inc 01.04.2007
    Veröffentlicht 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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  11. 11

    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 von Prikazchikov, V.

    ISSN: 1060-0396, 1573-8337
    Veröffentlicht: New York Springer US 01.03.2024
    Veröffentlicht 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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  12. 12

    A Linearization Technique for Solving General 3-D Shape Optimization Problems in Spherical Coordinates von Fakharzadeh Jahromi, Alireza, Goodarzi, Mina

    ISSN: 1017-060X, 1735-8515
    Veröffentlicht: Singapore Springer Singapore 01.08.2018
    Veröffentlicht 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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  13. 13

    Numerical methods for solving terminal optimal control problems von Gornov, A. Yu, Tyatyushkin, A. I., Finkelstein, E. A.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.02.2016
    Veröffentlicht 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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  14. 14

    Optimal shape design of iron pole section of electromagnet von Nazemi, A.R., Farahi, M.H., Mehne, H.H.

    ISSN: 0375-9601, 1873-2429
    Veröffentlicht: Elsevier B.V 05.05.2008
    Veröffentlicht 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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  15. 15

    Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces von Liu, Haoyang, Wu, Jia, Zhang, Liwei

    ISSN: 1877-0533, 1877-0541
    Veröffentlicht: Dordrecht Springer Netherlands 01.09.2023
    Veröffentlicht 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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  16. 16

    Slot nozzle design with specified pressure in a given subregion by using embedding method von Mehne, H.H., Farahi, M.H., Esfahani, J.A.

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: New York, NY Elsevier Inc 15.09.2005
    Veröffentlicht 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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  17. 17

    Optimal Location of Heat Sources Inside Areas with Complex Geometric Shapes von Osipov, O. V., Brusentsev, A. G.

    ISSN: 2070-0482, 2070-0490
    Veröffentlicht: Moscow Pleiades Publishing 01.11.2019
    Veröffentlicht 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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  18. 18

    Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1-gain and L∞-gain characterization von Briat, Corentin

    ISSN: 1049-8923, 1099-1239
    Veröffentlicht: Bognor Regis Blackwell Publishing Ltd 25.11.2013
    “… 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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  19. 19

    Stochastic Nonlinear Control Via Finite-Dimensional Spectral Dynamics Embedding von Ren, Zhaolin, Ren, Tongzheng, Ma, Haitong, Li, Na, Dai, Bo

    ISSN: 0018-9286, 1558-2523
    Veröffentlicht: IEEE 2025
    Veröffentlicht 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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    Strong-Weak Nonlinear Bilevel Problems: Existence of Solutions in a Sequential Setting von Aboussoror, Abdelmalek, Adly, Samir, Saissi, Fatima Ezzahra

    ISSN: 1877-0533, 1877-0541
    Veröffentlicht: Dordrecht Springer Netherlands 01.03.2017
    Veröffentlicht in Set-valued and variational analysis (01.03.2017)
    “… and linear finite dimensional case …”
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