A new lower bound for online strip packing

作者:Yu, Guosong*; Mao, Yanling; Xiao, Jiaoliao
来源:European Journal of Operational Research, 2016, 250(3): 754-759.
DOI:10.1016/j.ejor.2015.10.012

摘要

In this paper, we consider the online strip packing problem, in which a list of online rectangles has to be packed without overlap or rotation into a strip of width 1 and infinite length so as to minimize the required height of the packing. We derive a new improved lower bound of (3 + root 5)/2 approximate to 2.618 for the competitive ratio for this problem. This result improves the best known lower bound of 2.589.