论文标题
混合构成线性程序的通用切割平面的面部尺寸
Face Dimensions of General-Purpose Cutting Planes for Mixed-Integer Linear Programs
论文作者
论文摘要
切割飞机是成功解决混合构成线性程序的关键要素。对于特定问题，理论上通常通过证明它们是相应的混合船体的方面定义来评估其强度的。在本文中，我们通过实验研究由最先进的求解器产生的通用切割平面引起的面部尺寸。因此，我们将每个切割平面的尺寸与其在分支结合算法中的影响相关联。
Cutting planes are a key ingredient to successfully solve mixed-integer linear programs. For specific problems, their strength is often theoretically assessed by showing that they are facet-defining for the corresponding mixed-integer hull. In this paper we experimentally investigate the dimensions of faces induced by general-purpose cutting planes generated by a state-of-the-art solver. Therefore, we relate the dimension of each cutting plane to its impact in a branch-and-bound algorithm.
