Solving Bilevel Linear Multiobjective Programming Problems

DOI: 10.4236/ajor.2011.14024   PDF   HTML     6,006 Downloads   11,891 Views   Citations


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.

Conflicts of Interest

The authors declare no conflicts of interest.


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