An improved heuristic-dynamic programming algorithm for rectangular cutting problem

Abstract

In this paper, the two-dimensional cutting problem with defects is discussed. The objective is to cut some rectangles in a given shape and direction without overlapping the defects from the rectangular plate and maximize some profit associated. An Improved Heuristic-Dynamic Program (IHDP) is presented to solve the problem. In this algorithm, the discrete set contains not only the solution of one-dimensional knapsack problem with small rectangular block width and height, but also the cutting positions of one unit outside four boundaries of each defect. In addition, the denormalization recursive method is used to further decompose the sub problem with defects. The algorithm computes thousands of typical instances. The computational experimental results show that IHDP obtains most of the optimal solution of these instances, and its computation time is less than that of the latest literature algorithms.

A novel network aligner for the analysis of multiple protein-protein interaction networks

“…Heuristic algorithms are usually used for the solution of NP-hard problems. They have the ability of intelligence, generality and global search, which make them applicable in many fields, such as the cutting problem [44], image analysis [5], the graph matching problem and so on. Therefore, heuristics alignment algorithms are used to address the issue that the computational difficulty of network alignment increases exponentially with the increase of input network size.…”