Efficient 1-Space Bounded Hypercube Packing Algorithm

Author:

Grzegorek PaulinaORCID,Januszewski Janusz,Zielonka Łukasz

Abstract

AbstractA space bounded $$ O(d/\log d)$$ O ( d / log d ) -competitive hypercube packing algorithm with one active bin only is presented. As a starting point we give a simple 1-space bounded hypercube packing algorithm with competitive ratio $$ (3/2)^{d}+O((21/16)^d)$$ ( 3 / 2 ) d + O ( ( 21 / 16 ) d ) , for $$d\ge 3.$$ d 3 .

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,General Computer Science

Reference32 articles.

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2. Balogh, J., Békesi, J., Dósa, G., Epstein, L., Levin, A.: A new lower bound for classic online bin packing. arXiv:1807.0554v1

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