On variable sized vector packing
One of the open problems in on-line packing is the gap between the lower bound Ω(l) and the upper bound O(d) for vector packing of d-dimensional items into d-dimensional bins. We address a more general packing problem with variable sized bins. In this problem, the set of allowed bins contains the tr...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2003
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| Sorozat: | Acta cybernetica
16 No. 1 |
| Kulcsszavak: | Számítástechnika, Kibernetika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/12708 |
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| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Epstein Leah | |
| 245 | 1 | 3 | |a On variable sized vector packing |h [elektronikus dokumentum] / |c Epstein Leah |
| 260 | |c 2003 | ||
| 300 | |a 47-56 | ||
| 490 | 0 | |a Acta cybernetica |v 16 No. 1 | |
| 520 | 3 | |a One of the open problems in on-line packing is the gap between the lower bound Ω(l) and the upper bound O(d) for vector packing of d-dimensional items into d-dimensional bins. We address a more general packing problem with variable sized bins. In this problem, the set of allowed bins contains the traditional "all-1" vector, but also a finite number of other d-dimensional vectors. The study of this problem can be seen as a first step towards solving the classical problem. It is not hard to see that a simple greedy algorithm achieves competitive ratio O(d) for every set of bins. We show that for all small ε > 0 there exists a set of bins for which the competitive ratio is 1 + ε. On the other hand we show that there exists a set of bins for which every deterministic or randomized algorithm has competitive ratio Ω(d). We also study one special case for d = 2. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Számítástechnika, Kibernetika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/12708/1/cybernetica_016_numb_001_047-056.pdf |z Dokumentum-elérés |