Solving Bilevel Linear Multiobjective Programming Problems

• 作者: Calice Olivier Pieume Laure Pauline Fotso Patrice Marcotte Patrick Siarry
• 来源期刊: 美国运筹学期刊(英文)
• 学科: 数学
• 关键词: MULTIOBJECTIVE PROGRAMMING Bilevel PROGRAMMING Feasible Solution PARETO-OPTIMAL SOLUTIONS
• 年，卷（期）: 2011,（4）
• 页码范围: 214-219
• 页数: 6页
• 分类号: O22

摘要

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.