Please use this identifier to cite or link to this item: 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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