Abstract

Two approaches to duality in integer programming are briefly reviewed in this paper with emphasis on their applicability. We introduce the so called integer Lagrangean relaxation for a given problem and show how it can be used in a construction of an appropriate dual problem for which strong duality holds. A branch-and-bound algorithm for solving both primal and dual problems is described. Finally we stress the importance of a reformulation of a given integer problem in seeking its optimal dual variables and their interpretation.

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