Rectangle packing with a recursive Pilot Method
提出一种确定性树搜索方法求解矩形装箱问题,结合天际线启发式与引导法元启发式,通过剪枝策略减少搜索空间,在多数基准数据集上超越现有最优解。
We propose a deterministic tree search procedure for the Rectangle Packing Problem , where a set of rectangular items must be packed into a rectangular container such that the unoccupied area of the container is the minimum possible. The tree search is based on two literature methods whose strong points complement each other. First, a skyline-based heuristic strongly restricts the number of items that must be evaluated and the number of positions where they may be placed. Also, a generalization of the Pilot Method meta-heuristic expands the search tree gradually, iteratively increasing the tree size within a given time limit. We also devise tree pruning strategies to further reduce the exploration size. Empirical results surpass state-of-the-art solutions on most benchmark data sets, subject to computation time limits comparable to those of the literature, and we analyze how the quality of the solutions varies depending on the geometry of the items.