The optimality conditions and properties of linear multilevel programming problem

The optimality conditions and properties of linear multilevel programming problem

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Article ID: iaor20001121
Country: China
Volume: 18
Issue: 2
Start Page Number: 159
End Page Number: 166
Publication Date: Apr 1998
Journal: Journal of Systems Science and Complexity
Authors: ,
Abstract:

In this paper a model for the linear multilevel programming problem is presented, where the permissible solution set may be unbounded, and each planner's objective may be related to the decision variables of lower levels. A necessary and sufficient condition for optimality is obtained, and the geometrical properties of each planner's feasible set are also discussed.

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