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A hierarchical approach for solving an integrated packing and sequence-optimization problem in production of glued laminated timber

Author

Listed:
  • Heiner Ackermann

    (Institute for Industrial Mathematics)

  • Erik Diessel

    (Institute for Industrial Mathematics)

Abstract

Integrated packing and sequence-optimization problems appear in many industrial applications. As an example of this type of problem, we consider the production of glued laminated timber (glulam) in sawmills: Wood beams must be packed into a sequence of pressing steps subject to packing constraints of the press and subject to sequencing constraints. In this paper, we present a three-stage approach for solving this hard optimization problem: Firstly, we identify alternative packings for small parts of an instance. Secondly, we choose an optimal subset of these packings by solving a set cover problem. Finally, we apply a sequencing algorithm in order to find an optimal order of the selected subsequences. For every level of the hierarchy, we present tailored algorithms, analyze their performance and illustrate the efficiency of the overall approach by a comprehensive numerical study.

Suggested Citation

  • Heiner Ackermann & Erik Diessel, 2020. "A hierarchical approach for solving an integrated packing and sequence-optimization problem in production of glued laminated timber," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 263-288, October.
    • Handle: RePEc:spr:eurjco:v:8:y:2020:i:3:d:10.1007_s13675-020-00127-8
    DOI: 10.1007/s13675-020-00127-8
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    References listed on IDEAS

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    5. Song, X. & Chu, C.B. & Nie, Y.Y. & Bennell, J.A., 2006. "An iterative sequential heuristic procedure to a real-life 1.5-dimensional cutting stock problem," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1870-1889, December.
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    Cited by:

    1. Arie M. C. A. Koster & Clemens Thielen, 2020. "Special issue on: Computational discrete optimization," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 201-203, October.

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