A 3/2-approximation for big two-bar charts packing

@article{Erzin2021A3F,
  title={A 3/2-approximation for big two-bar charts packing},
  author={Adil I. Erzin and Stepan Nazarenko and Gregory Melidi and Roman V. Plotnikov},
  journal={J. Comb. Optim.},
  year={2021},
  volume={42},
  pages={71-84}
}
We consider a Two-Bar Charts Packing Problem (2-BCPP), in which it is necessary to pack two-bar charts (2-BCs) in a unit-height strip of minimum length. The problem is a generalization of the Bin Packing Problem (BPP). Earlier, we proposed an $O(n^2)$-time algorithm that constructs the packing which length at most $2\cdot OPT+1$, where $OPT$ is the minimum length of the packing of $n$ 2-BCs. In this paper, we propose an $O(n^4)$-time 3/2-approximate algorithm when each BC has at least one bar… 

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