Asgeirsson Eyjólfur Ingi and Ayesta U. and Coffman E. and Etra J. and Momčilović P. and Phillips D. and Vokhshoori V. and Wang Z. and Wolfe J.: Closed on-line bin packing. In: Acta cybernetica, (15) 3. pp. 361-367. (2002)
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Abstract
An optimal algorithm for the classical bin packing problem partitions (packs) a given set of items with sizes at most 1 into a smallest number of unit-capacity bins such that the sum of the sizes of the items in each bin is at most 1. Approximation algorithms for this NP-hard problem are called on-line if the items are packed sequentially into bins with the bin receiving a given item being independent of the number and sizes of all items as yet unpacked. Off-line algorithms plan packings assuming full (advance) knowledge of all item sizes. The closed on-line algorithms are intermediate: item sizes are not known in advance but the number n of items is. The uniform model, where the n item sizes are independent uniform random draws from [0,1], commands special attention in the average-case analysis of bin packing algorithms. In this model, the expected wasted space produced by an optimal off-line algorithm is Θ(√n), while that produced by an optimal on-line algorithm is Θ(√n log n)- Surprisingly, an optimal closed on-line algorithm also wastes only s Θ(√n) space on the average. A proof of this last result is the principal contribution of this paper. However, we also identify a class of optimal closed algorithms, extend the main result to other probability models, and give an estimate of the hidden constant factor.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2002 |
| Volume: | 15 |
| Number: | 3 |
| ISSN: | 0324-721X |
| Page Range: | pp. 361-367 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/38513/ |
| Uncontrolled Keywords: | Számítástechnika, Kibernetika, Algoritmus |
| Additional Information: | Bibliogr.: p. 366-367. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2016. Oct. 15. 12:25 |
| Last Modified: | 2022. Jun. 14. 13:32 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/12684 |
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