English

Lower bounds for several online variants of bin packing

Data Structures and Algorithms 2017-08-11 v1 Discrete Mathematics Combinatorics Optimization and Control

Abstract

We consider several previously studied online variants of bin packing and prove new and improved lower bounds on the asymptotic competitive ratios for them. For that, we use a method of fully adaptive constructions. In particular, we improve the lower bound for the asymptotic competitive ratio of online square packing significantly, raising it from roughly 1.68 to above 1.75.

Keywords

Cite

@article{arxiv.1708.03228,
  title  = {Lower bounds for several online variants of bin packing},
  author = {János Balogh and József Békési and György Dósa and Leah Epstein and Asaf Levin},
  journal= {arXiv preprint arXiv:1708.03228},
  year   = {2017}
}

Comments

WAOA 2017