Solving Bilevel Linear Programs Using Multiple Objective Linear Programming

J. Glackin (), J. G. Ecker () and M. Kupferschmid ()
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J. Glackin: United States Military Academy
J. G. Ecker: Rensselaer Polytechnic Institute
M. Kupferschmid: Rensselaer Polytechnic Institute

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 2, No 1, 197-212

Abstract: Abstract We present an algorithm for solving bilevel linear programs that uses simplex pivots on an expanded tableau. The algorithm uses the relationship between multiple objective linear programs and bilevel linear programs along with results for minimizing a linear objective over the efficient set for a multiple objective problem. Results in multiple objective programming needed are presented. We report computational experience demonstrating that this approach is more effective than a standard branch-and-bound algorithm when the number of leader variables is small.

Keywords: Bilevel linear programming; Multiple objective linear programming; Efficient set; Rational reaction set; Simplex algorithm pivot (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-008-9467-2

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