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Sam D. Allen

A space-indexed formulation of packing boxes into a larger box

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Jan 02, 2021
Sam D. Allen, Edmund K. Burke, Jakub Marecek
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Current integer programming solvers fail to decide whether 12 unit cubes can be packed into a 1x1x11 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.

* Operations Research Letters, Volume 40, Issue 1, January 2012, Pages 20-24  
* arXiv admin note: substantial text overlap with arXiv:1412.2526 
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