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An Exact Algorithm for Higher-Dimensional Orthogonal Packing

Author

Listed:
  • Sándor P. Fekete

    (Department of Mathematical Optimization, Braunschweig University of Technology, D--38106 Braunschweig, Germany)

  • Jörg Schepers

    (IBM Germany, Gustav-Heinemann-Ufer 120/122, D--50968 Köln, Germany)

  • Jan C. van der Veen

    (Department of Mathematical Optimization, Braunschweig University of Technology, D--38106 Braunschweig, Germany)

Abstract

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of lower bounds, and other heuristics, we develop a two-level tree search algorithm for solving higher-dimensional packing problems to optimality. Computational results are reported, including optimal solutions for all two-dimensional test problems from recent literature.This is the third in a series of articles describing new approaches to higher-dimensional packing.

Suggested Citation

  • Sándor P. Fekete & Jörg Schepers & Jan C. van der Veen, 2007. "An Exact Algorithm for Higher-Dimensional Orthogonal Packing," Operations Research, INFORMS, vol. 55(3), pages 569-587, June.
    • Handle: RePEc:inm:oropre:v:55:y:2007:i:3:p:569-587
    DOI: 10.1287/opre.1060.0369
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    References listed on IDEAS

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    Full references (including those not matched with items on IDEAS)

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