Search Results - Infinite-dimensional problems of linear programming*
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The Difference between Finite Dimensional Linear Programming Problems and Infinite Dimensional Linear Programming Problems
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 01.03.1997Published 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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Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems
ISSN: 0163-0563, 1532-2467Published: Abingdon Taylor & Francis 11.06.2019Published in Numerical functional analysis and optimization (11.06.2019)“…Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article…”
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On generic uniqueness of optimal solution in an infinite dimensional linear programming problem
ISSN: 1064-5624, 1531-8362Published: Dordrecht SP MAIK Nauka/Interperiodica 01.08.2008Published in Doklady. Mathematics (01.08.2008)Get full text
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Approximate solutions and error bounds for a class of continuous-time linear programming problems
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis Group 01.02.2012Published in Optimization (01.02.2012)“…In this article, we discuss a class of continuous-time linear programming (CLP) problems. We provide a discrete approximation procedure to find numerical…”
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Approximation of Infinite-Dimensional Linear Programming Problems which Arise in Stochastic Control
ISSN: 0363-0129, 1095-7138Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.07.1998Published in SIAM journal on control and optimization (01.07.1998)“…We study a general approximation scheme for infinite-dimensional linear programming (LP…”
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A recurrence method for a special class of continuous time linear programming problems
ISSN: 0925-5001, 1573-2916Published: Boston Springer US 01.05.2010Published in Journal of global optimization (01.05.2010)“…This article studies a numerical solution method for a special class of continuous time linear programming problems denoted by ( SP…”
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Converging outer approximations to global attractors using semidefinite programming
ISSN: 0005-1098, 1873-2836Published: Elsevier Ltd 01.12.2021Published in Automatica (Oxford) (01.12.2021)“… The approach taken follows an established line of reasoning, where we first characterize the global attractor via an infinite dimensional linear programming problem (LP…”
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Affine Variational Inequalities on Normed Spaces
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.07.2018Published in Journal of optimization theory and applications (01.07.2018)“… It is shown that infinite-dimensional quadratic programming problems and infinite-dimensional linear fractional vector optimization problems can be studied by using affine variational inequalities…”
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Portfolio choice and optimal hedging with general risk functions: A simplex-like algorithm
ISSN: 0377-2217, 1872-6860Published: Amsterdam Elsevier B.V 16.01.2009Published in European journal of operational research (16.01.2009)“…The minimization of general risk functions is becoming more and more important in portfolio choice theory and optimal hedging. There are two major reasons…”
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Linear Programming Approach to Optimal Control Problems with Unbounded State Constraint
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.02.2025Published in Journal of optimization theory and applications (01.02.2025)“… It is known that these problems are related to certain infinite-dimensional linear programming problems, but to facilitate the analysis of these LP problems, it is usually assumed that all admissible…”
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Optimal design of experiments via linear programming
ISSN: 0932-5026, 1613-9798Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2016Published in Statistical papers (Berlin, Germany) (01.12.2016)“… as “infinite-dimensional” linear programming problems. The same approach is applied to combination of these optimality criteria and to the “criterion robust” problem of Harman (Metrika 60:137–153, 2004…”
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Optimal Recovery of a Family of Operators from Inaccurate Measurements on a Compact Set
ISSN: 0037-4466, 1573-9260Published: Moscow Pleiades Publishing 01.03.2024Published in Siberian mathematical journal (01.03.2024)“…Given a one-parameter family of continuous linear operators , with , we consider the optimal recovery of the values of on the whole space by approximate information on the values of , where runs over a compact set and . We find…”
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An improved numerical method for solving a class of continuous-time linear programming problems
ISBN: 9781424426294, 1424426294ISSN: 2157-3611Published: IEEE 01.12.2008Published in 2008 IEEE International Conference on Industrial Engineering and Engineering Management (01.12.2008)“…In this paper we consider a class of infinite-dimensional linear programming problems, called continuous-time linear programming problems (CLP…”
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Conference Proceeding -
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Approximation of infinite-dimensional linear programming problems
ISBN: 9780591293814, 0591293811Published: ProQuest Dissertations & Theses 01.01.1997“…We study a general approximation scheme for infinite-dimensional linear programming (LP…”
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Dissertation -
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Averaging and Linear Programming in Some Singularly Perturbed Problems of Optimal Control
ISSN: 0095-4616, 1432-0606Published: Boston Springer US 01.04.2015Published in Applied mathematics & optimization (01.04.2015)“… Our consideration is based on earlier results on averaging of SP control systems and on linear programming formulations of optimal control problems…”
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Geometry of vectorial martingale optimal transportations and duality
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2024Published in Mathematical programming (01.03.2024)“…The theory of Optimal Transport and Martingale Optimal Transport (MOT) were inspired by problems in economics and finance and have flourished over the past decades, making significant advances in theory and practice…”
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Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.09.2020Published 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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LP based upper and lower bounds for Cesàro and Abel limits of the optimal values in problems of control of stochastic discrete time systems
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 01.08.2022Published in Journal of mathematical analysis and applications (01.08.2022)“… that the Cesàro and Abel limits of the optimal values in such problems can be evaluated with the help of a certain infinite-dimensional linear programming problem and its dual…”
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Convex Computation of the Region of Attraction of Polynomial Control Systems
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.02.2014Published in IEEE transactions on automatic control (01.02.2014)“… We show that the ROA can be computed by solving an infinite-dimensional convex linear programming (LP…”
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Conditions for Discreteness of the Spectrum to Schrödinger Operator Via Non-increasing Rearrangement, Lagrangian Relaxation and Perturbations
ISSN: 0378-620X, 1420-8989Published: Cham Springer International Publishing 01.06.2021Published in Integral equations and operator theory (01.06.2021)“…–Shubin criterion and an optimization problem for a set function. This problem is an infinite-dimensional generalization of a binary linear programming problem…”
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