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

01/02/2021

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by   Sam D. Allen, et al.

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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.