作者: Chung-Shou Liao , Chia-Hong Hsu
DOI: 10.1016/J.EJOR.2012.10.024
关键词: Square packing in a square 、 Bin packing problem 、 Point (geometry) 、 Generalization 、 Combinatorics 、 Combinatorial optimization 、 Discrete mathematics 、 Time complexity 、 Mathematics
摘要: Abstract In this paper, we consider the three-dimensional orthogonal bin packing problem, which is a generalization of well-known problem. We present new lower bounds for problem from combinatorial point view and demonstrate that they theoretically dominate all previous results literature. The comparison also done concerning asymptotic worst-case performance ratios. can be more efficiently computed in polynomial time. addition, study non-oriented model, allows items to rotated.