A new lower bound for online strip packing

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+5)/2≈2.618 for the competitive ratio for this problem. This result improves the best known lower bound of 2.589.