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Cutting planes in integer and mixed integer programming

机译:整数和混合整数编程中的切割平面

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摘要

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.
机译:此调查显示了在解决混合整数程序中有用或潜在有用的切面。依次检查(i)一般整数程序,(ii)局部结构问题(例如背包约束)和(iii)0-1系数矩阵的问题(例如集合压缩)的有效不等式。最后,探讨了将有效不等式用于具有结构问题的类别,例如网络设计。

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