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Efficient and local efficient solutions for assignment type problems

Jacques A. FerlandPina Marziliano — 2001

RAIRO - Operations Research - Recherche Opérationnelle

In this paper, we analyse the multiobjective problem generated by applying a goal programming approach to deal with linear assignment type problem. We specify sufficient conditions for a solution to be efficient for this problem. The notion of efficiency with respect to a neighborhood is also introduced and characterized through sufficient conditions. Unfortunately, these conditions are not necessary in general.

Efficient and Local Efficient Solutions for Assignment Type Problems

Jacques A. FerlandPina Marziliano — 2010

RAIRO - Operations Research

In this paper, we analyse the multiobjective problem generated by applying a goal programming approach to deal with linear assignment type problem. We specify sufficient conditions for a solution to be efficient for this problem. The notion of efficiency with respect to a neighborhood is also introduced and characterized through sufficient conditions. Unfortunately, these conditions are not necessary in general.

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