A modified simplex approach for solving bilevel linear programming problems

A modified simplex approach for solving bilevel linear programming problems

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Article ID: iaor19961793
Country: Netherlands
Volume: 67
Issue: 1
Start Page Number: 126
End Page Number: 135
Publication Date: Jun 1993
Journal: European Journal of Operational Research
Authors:
Keywords: programming: quadratic
Abstract:

A method for solving bilevel linear programming problems is proposed. The inner problem is represented by its Karush-Kuhn-Tucker conditions and the complementary slackness equations are moved to the outer objective as a penalty function. The global optimum of the resulting quadratic programme is reached by iterative application of a modified simplex algorithm.

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