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Linear Programming for a Cutting Problem in the Wood Processing Industry – A Case Study


  • Sören Koch

    () (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Sebastian König
  • Gerhard Wäscher

    () (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)


In this paper the authors present a case study from the wood-processing industry. It focuses on a cutting process in which material from stock is cut down in order to provide the items required by the customers in the desired qualities, sizes, and quantities. In particular, two aspects make this cutting process special. Firstly, the cutting process is strongly interdependent with a preceding handling process, which, consequently, cannot be planned independently. Secondly, if the trim loss is of a certain minimum size, it can be returned into stock and used as input to subsequent cutting processes. In order to reduce the cost of the cutting process, a decision support tool has been developed which incorporates a linear programming model as a central feature. The model is described in detail, and experience from the application of the tool is reported.

Suggested Citation

  • Sören Koch & Sebastian König & Gerhard Wäscher, 2008. "Linear Programming for a Cutting Problem in the Wood Processing Industry – A Case Study," FEMM Working Papers 08014, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
  • Handle: RePEc:mag:wpaper:08014

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    References listed on IDEAS

    1. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    2. Gradisar, Miro & Resinovic, Gortan & Kljajic, Miroljub, 1999. "A hybrid approach for optimization of one-dimensional cutting," European Journal of Operational Research, Elsevier, vol. 119(3), pages 719-728, December.
    3. Trkman, Peter & Gradisar, Miro, 2007. "One-dimensional cutting stock optimization in consecutive time periods," European Journal of Operational Research, Elsevier, vol. 179(2), pages 291-301, June.
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    one-dimensional cutting; linear programming; wood-processing industry;

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