An application of the Augmented Lagrangian Approach to decomposition in linear programming

An application of the Augmented Lagrangian Approach to decomposition in linear programming

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Article ID: iaor19931567
Country: Brazil
Volume: 1
Issue: 1
Start Page Number: 55
End Page Number: 78
Publication Date: Aug 1988
Journal: Investigacin Operativa
Authors: ,
Keywords: programming: linear, lagrange multipliers
Abstract:

The Augmented Lagrangian Approach is a well known technique in nonlinear programming to reduce a nonlinearly constrained optimization problem to a sequence of unconstrained optimization problems. Here the authors use the same idea to eliminate some special constraints in a linear programming problem in order to decompose it. Applications to Block Angular and Staircase Systems are presented and discussed.

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