Results 261 to 270 of about 2,097 (305)

Duality in structured and federated optimization : theory and applications

2022
The dual approach in mathematical optimization refers to a class of techniques for tackling a dual problem that arises from the original problem. Numerous notable improvements in strengthening the dual approach have been promoted in the last two decades because of its superior performance for many large-scale optimization problems.
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Recursive utility and optimal capital accumulation II: sensitivity and duality theory

Economic Theory, 1992
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Becker, Robert A., Boyd, John H. III
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Duality Theory for the Linear-Convex Optimal Control Problem with Delays

IMA Journal of Mathematical Control and Information, 1987
The aim of this article is to develop a duality theory for the linear- convex optimal control problem with delays. We give an account via a saddle-point approach in the spirit of \textit{B. Noble} and \textit{M. J. Sewell} [J. Inst. Math. Appl. 9, 123-193 (1972; Zbl 0236.49002)]. It is obvious that results pertaining to semigroups and obtained here can
Chan, WL, Yung, SP
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Duality Theory for Optimization Problems with Interval-Valued Objective Functions

Journal of Optimization Theory and Applications, 2009
To solve the investigated interval-valued nonlinear optimization problems a partial ordering of closed intervals is applied. Using this, a solution concept is suggested which is similar to the concept of a (weakly) nondominated solution in multicriterial optimization.
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Duality Theory and Optimality Conditions for LPs

2009
Associated with every linear programming problem, there is another linear program called its dual, involving a different set of variables, but sharing the same data. When referring to the dual problem of an LP, the original LP is called the primal or the primal problem.
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Derivation of duality in mathematical programming and optimization theory

European Journal of Operational Research, 1994
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Duality Theory in Vector Optimization: An Overview

1985
Recently, the duality in vector optimization has been attracting many researchers’ interest. It holds now a major position in the theory of multiobjective programming due to not only its mathematical elegance but also its economic implications. In this paper, resluts on duality in vector optimization developed so far, primarily Lagrange duality, are ...
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Contributions to Duality Theory of Certain Nonconvex Optimization Problems

1985
In the last years a considerable effort was made to treat nonconvex optimization problems. Quite naturally, one direction of research consists in generalizations of the Lagrange concept and numerous papers were published concerning this subject. Besides such investigations, since a couple of years a wide class of nonconvex optimization problems has ...
R. Deumlich, K.-H. Elster
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Production Theory Dualities for Optimally Realized Values

1978
Duality theorems are useful tools in the theory of cost and production (see [2,5,9]) as well as in the related theory of economic index numbers (see [4]). Traditionally, such theorems are proved on a global basis, i.e., they hold for each entire input or output set or for the whole technology.
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Duality Theory in Infinite Horizon Optimization Models

2006
In intertemporal resource allocation problems with no terminal date, price systems which characterize efficient or optimal allocations have figured prominently since the pioneering contribution by Malinvaud (1953). The method of duality theory that has been developed to study such problems relies on convex analysis and may be viewed as an extension of ...
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