Multi-container loading with non-convex 3D shapes using a GA/TS hybrid

  • Authors:
  • Philipp Nebel;Gunther Richter;Karsten Weicker

  • Affiliations:
  • HTWK Leipzig, Leipzig, Germany;ccc software gmbh, Markkleeberg, Germany;HTWK Leipzig, Leipzig, Germany

  • Venue:
  • Proceedings of the 14th annual conference on Genetic and evolutionary computation
  • Year:
  • 2012

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Abstract

A genetic algorithm is developed for a multi-container problem and integrated into a commercial software product. The considered problem is characterized by specific requirements, e.g. non-convex 3D shapes composed of several cuboids and a broad range of constraints. The algorithm uses the packing list as genotype, the first-fit heuristic for placing the items, and a set of problem-specific operators. The algorithm is tested on simple examples, benchmarks by Bischoff/Ratcliff and Loh/Nee, and real-world customer data. The proposed algorithm proves to be an all-rounder that excels on non-convex problems and delivers acceptable results on regular (benchmark) problems.