American Journal of Operations Research

Volume 1, Issue 4 (December 2011)

ISSN Print: 2160-8830   ISSN Online: 2160-8849

Google-based Impact Factor: 0.84  Citations  

Solving Bilevel Linear Multiobjective Programming Problems

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DOI: 10.4236/ajor.2011.14024    6,564 Downloads   13,062 Views  Citations

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ABSTRACT

This study addresses bilevel linear multi-objective problem issues i.e the special case of bilevel linear programming problems where each decision maker has several objective functions conflicting with each other. We introduce an artificial multi-objective linear programming problem of which resolution can permit to generate the whole feasible set of the upper level decisions. Based on this result and depending if the leader can evaluate or not his preferences for his different objective functions, two approaches for obtaining Pareto- optimal solutions are presented.

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C. Pieume, P. Marcotte, L. Fotso and P. Siarry, "Solving Bilevel Linear Multiobjective Programming Problems," American Journal of Operations Research, Vol. 1 No. 4, 2011, pp. 214-219. doi: 10.4236/ajor.2011.14024.

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