An Improved Lower Bound for On-Line Bin Packing Algorithms

Abstract In 1980 Liang proved that every on-line algorithm for the bin packing problem has an asymptotic worst case ratio of at least 1.536…. In this paper we give an improved lower bound of 1.540….For the parametric case where all items are smaller than or equal to 1/r, rϵ N +, we also give improved lower bounds.