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Cutting Planes in Integer and Mixed Integer Programming (in preparation)


SC 99-44 Hugues Marchand, Alexander Martin, Robert Weismantel, Laurence A. Wolsey: Cutting Planes in Integer and Mixed Integer Programming (in preparation)


Abstract: This survey presents cutting planes that are useful or potentially useful in solving mixed integer programs. Valid inequalities for i) general integer programs, ii) problems with local structure such as knapsack constraints, and iii) problems with 0-1 coefficient matrices, such as set packing, are examined in turn. Finally the use of valid inequalities for classes of problems with structure, such as network design, is explored.
Keywords: Mixed Integer Programming, Cutting Planes
MSC: 90C10, 90C11