On Online Algorithms for Bin, Strip, and Box Packing, and Their Worst-Case and Average-Case Analysis

Аннотация

In this survey, we consider online algorithms for bin packing and strip packing problems, as well as their generalizations (multidimensional bin packing, multiple strip packing, and packing into strips of different widths). For the latter problem, only the worst-case analysis is described; for the other problems, both the worst-case and average-case (probabilistic) asymptotic ratios are presented. The best lower and upper bounds are considered. Basic algorithms and methods for their analysis are discussed.