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A. Messac and C. A. Mattson, “Generating Well Distributed Sets of Pareto Points for Engineering Using Physical Programming,” Optimization and Engineering, Vol. 3, No. 4, 2002, pp. 431-450. doi:10.1023/A:1021179727569

has been cited by the following article:

• TITLE: Solving Bilevel Linear Multiobjective Programming Problems

  AUTHORS: Calice Olivier Pieume, Patrice Marcotte, Laure Pauline Fotso, Patrick Siarry

  KEYWORDS: Multiobjective Programming, Bilevel Programming, Feasible Solution, Pareto-Optimal Solutions

  JOURNAL NAME: American Journal of Operations Research, Vol.1 No.4, December 5, 2011

  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.