6533b82dfe1ef96bd1291c94

RESEARCH PRODUCT

Packing a Trunk

Joachim ReichelFriedrich EisenbrandElmar SchömerStefan Funke

subject

CombinatoricsPacking problemsMeasure (data warehouse)Linear programmingPolytope modelmedia_common.cataloged_instanceEuropean unionGreedy algorithmInteger programmingAlgorithmTrunkMathematicsmedia_common

description

We report on a project with a German car manufacturer. The task is to compute (approximate) solutions to a specific large-scale packing problem. Given a polyhedral model of a car trunk, the aim is to pack as many identical boxes of size 4 × 2 × 1 units as possible into the interior of the trunk. This measure is important for car manufacturers, because it is a standard in the European Union.

https://doi.org/10.1007/978-3-540-39658-1_56