Higher-Dimensional Packing with Order Constraints

  • Authors:
  • Sándor P. Fekete;Ekkehard Köhler;Jürgen Teich

  • Affiliations:
  • -;-;-

  • Venue:
  • WADS '01 Proceedings of the 7th International Workshop on Algorithms and Data Structures
  • Year:
  • 2001

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Abstract

We present a first exact study on higher-dimensional packing problems with order constraints. Problems of this type occur naturally in applications such as logistics or computer architecture and can be interpreted as higher-dimensional generalizations of scheduling problems. Using graph-theoretic structures to describe feasible solutions, we develop a novel exact branch-and-bound algorithm. This extends previous work by Fekete and Schepers; a key tool is a new order-theoretic characterization of feasible extensions of a partial order to a given comparability graph that is tailor-made for use in a branch-and-bound environment. The usefulness of our approach is validated by computational results.