http://hdl.handle.net/1893/15732
Appears in Collections: | Computing Science and Mathematics Journal Articles |
Peer Review Status: | Refereed |
Title: | A space-indexed formulation of packing boxes into a larger box |
Author(s): | Allen, Sam D Burke, Edmund Maracek, Jakub |
Contact Email: | e.k.burke@stir.ac.uk |
Keywords: | Integer programming Linear programming Packing Load planning Pigeon hole principle |
Issue Date: | Jan-2012 |
Date Deposited: | 3-Jul-2013 |
Citation: | Allen SD, Burke E & Maracek J (2012) A space-indexed formulation of packing boxes into a larger box. Operations Research Letters, 40 (1), pp. 20-24. https://doi.org/10.1016/j.orl.2011.10.008 |
Abstract: | Current integer programming solvers fail to decide whether 12 unit cubes can be packed into a 1×1×11 box within an hour using the natural relaxation of Chen/Padberg. We present an alternative relaxation of the problem of packing boxes into a larger box, which makes it possible to solve much larger instances. |
DOI Link: | 10.1016/j.orl.2011.10.008 |
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