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Drawer algorithms for 1-space bounded multidimensional hyperbox packing

Author

Listed:
  • Paulina Grzegorek

    (UTP University of Science and Technology)

  • Janusz Januszewski

    (UTP University of Science and Technology)

Abstract

We study a multidimensional hyperbox packing with one active bin. The items (d-dimensional hyperboxes of edge length not greater than 1) arrive one by one. Each item must be packed online into a hypercube bin of edge 1 and $$90^{\circ }$$ 90 ∘ -rotations are allowed. If it is impossible to pack an item into an active bin, we close the bin and open a new active bin to pack that item. In this paper, we present a $$\ 3.5^d$$ 3 . 5 d -competitive as well as a $$\ 12\cdot 3^d$$ 12 · 3 d -competitive online d-dimensional hyperbox packing algorithm with one active bin.

Suggested Citation

  • Paulina Grzegorek & Janusz Januszewski, 2019. "Drawer algorithms for 1-space bounded multidimensional hyperbox packing," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 1011-1044, April.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:3:d:10.1007_s10878-018-0338-y
    DOI: 10.1007/s10878-018-0338-y
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    References listed on IDEAS

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    1. Yong Zhang & Francis Y. L. Chin & Hing-Fung Ting & Xin Han, 2013. "Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing," Journal of Combinatorial Optimization, Springer, vol. 26(2), pages 223-236, August.
    2. Csirik, J. & Frenk, J.B.G. & Labbé, M., 1993. "Two-dimensional rectangle packing: on-line methods and results," Econometric Institute Research Papers 11700, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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