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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.

New representation to reduce the search space for the resource-constrained project scheduling problem

Khaled MoumeneJacques A. Ferland — 2008

RAIRO - Operations Research

This paper describes a new representation for the solutions of the resource-constrained project scheduling problem (RCPSP) denoted Activity Set List. The most efficient heuristics for the problem use the activity list representation and the serial SGS method to construct the corresponding solution (schedule). The activity list may induce a search space of representations much larger then the space of schedules because the same schedule can correspond to many different activity list representations....

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