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| Content Provider | Springer Nature Link |
|---|---|
| Author | Buchwald, Torsten Hoffmann, Kirsten Scheithauer, Guntram |
| Copyright Year | 2014 |
| Abstract | We consider the two-dimensional bin packing problem given a set of rectangular items, find the minimal number of rectangular bins needed to pack all items. Rotation of the items is not permitted. We show for any integer $${k} \ge 3$$ that at most $${k}-1$$ bins are needed to pack all items if every item fits into a bin and if the total area of items does not exceed $${k}/4$$ -times the bin area. Moreover, this bound is tight. Furthermore, we show that only two bins are necessary to pack all items if the total area of items is not larger than the bin area, and if the height of each item is not larger than a third of the bin height and the width of every item does not exceed half of the bin width. |
| Starting Page | 55 |
| Ending Page | 76 |
| Page Count | 22 |
| File Format | |
| ISSN | 02545330 |
| Journal | Annals of Operations Research |
| Volume Number | 217 |
| Issue Number | 1 |
| e-ISSN | 15729338 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2014-03-15 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Cutting and packing Bin packing problem Strip packing problem Operations Research/Decision Theory Combinatorics Theory of Computation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Management Science and Operations Research |
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