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系统科学与数学 1998
THE OPTIMALITY CONDITIONS AND PROPERTIES OF LINEAR MULTILEVEL PROGRAMMING PROBLEM
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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 objectivemay be related to the decision variables of lower levels. A necessary and sufficient conditionfor optimality is obtained, and the geometrical properties of each planner's feasible set are alsodiscussed.