Efficient and Local Efficient Solutions for Assignment Type Problems

Jacques A. Ferland; Pina Marziliano

RAIRO - Operations Research (2010)

  • Volume: 35, Issue: 3, page 301-313
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Ferland, Jacques A., and Marziliano, Pina. "Efficient and Local Efficient Solutions for Assignment Type Problems." RAIRO - Operations Research 35.3 (2010): 301-313. <http://eudml.org/doc/197779>.

@article{Ferland2010,
abstract = { 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. },
author = {Ferland, Jacques A., Marziliano, Pina},
journal = {RAIRO - Operations Research},
keywords = {Efficiency; local efficiency; assignment; multiobjective.; efficiency; multiobjective},
language = {eng},
month = {3},
number = {3},
pages = {301-313},
publisher = {EDP Sciences},
title = {Efficient and Local Efficient Solutions for Assignment Type Problems},
url = {http://eudml.org/doc/197779},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Ferland, Jacques A.
AU - Marziliano, Pina
TI - Efficient and Local Efficient Solutions for Assignment Type Problems
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 301
EP - 313
AB - 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.
LA - eng
KW - Efficiency; local efficiency; assignment; multiobjective.; efficiency; multiobjective
UR - http://eudml.org/doc/197779
ER -

References

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  10. P. Marziliano and J.A. Ferland, A Heuristic Approach for Multiobjective Problems with Assignment Constraints, Publication # 1128. Département d'Informatique et de Recherche Opérationnelle, Université de Montréal, Canada (1998).  
  11. J.B. Mazzola and A.W. Neebe, Resource-Constrained Assignment Scheduling. Oper. Res.34 (1986) 560-572.  
  12. V. Robert, La confection d'horaires par décomposition en sous-problèmes d'affectation, Doctoral dissertation. Mathematics Department, École Polytechnique Fédérale de Lausanne, Switzerland (1996).  
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