Duality theorems and algorithms for linear programming in measure spaces

Duality theorems and algorithms for linear programming in measure spaces

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Article ID: iaor20111371
Volume: 30
Issue: 2
Start Page Number: 207
End Page Number: 233
Publication Date: Nov 2004
Journal: Journal of Global Optimization
Authors: ,
Abstract:

The purpose of this paper is to present some results on linear programming in measure spaces (LPM). We prove that, under certain conditions, the optimal value of an LPM is equal to the optimal value of the dual problem (DLPM). We also present two algorithms for solving various LPM problems and prove the convergence properties of these algorithms.

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