5 problems
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Nonnegative BH representation conjecture for Eigen-CG inequalities
For any , let denote the corresponding Eigen-CG inequality, and let BH inequalities denote the Boros–Hammer inequalities. Nonnegati…
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Eigen-CG closure conjecture for BH inequalities
Let denote the family of Eigen-CG inequalities obtained from vectors , and let denote the family of Boros–Hammer inequalit…
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The conjecture on objective alignment and the effectiveness of MILP cuts
Consider mixed-integer bilevel linear optimization instances classified by their objective alignment, and compare cut-generation performance with and without mixed-integer linear p…
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The conjecture that cut-generation failure is low at objective alignment -1
Consider mixed-integer bilevel linear optimization instances with an objective-alignment parameter, and let the cut-generation failure rate denote the proportion of attempted inter…
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The conjecture that MILP cuts reduce cut-generation failures
Mixed-integer bilevel linear optimization problems may use intersection cuts (ICs), including integer disjunctive intersection cuts and integer split intersection cuts, together wi…