Branch-and-Cut 是求解整数规划或混合整数规划问题最常用的算法之一。通常,把全部可行解空间反复地分割为越来越小的子集,称为分支;并且对每个子集内的解集计算一个目标下界(对于最小值问题),称为定界;在每次分枝后,凡是界限超出已知可行解集目标值的子集不再进一步考虑,称为剪枝。这就是Branch-and-Cut的主要思路。
A branch-and-cut approach for Benders’ decomposition has been implemented within the constraint integer programming solver SCIP using a plugin-based design to allow for a wide variety of extensions and customisations to the algorithm. The effectiveness of the Benders’ decomposition algorithm and ...
Several Branch-and-cut (BC) algorithms exploiting such ideas are introduced. Additionally, we also apply Benders Decomposition to one of these formulations. An accompanying BC method, that separates Benders optimality cuts, is also introduced. Aiming to save linear programming re-optimization times, ...
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