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Lineare Optimierung für ein Zuschnittproblem in der holzverarbeitenden Industrie — Ein Anwendungsbericht

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Abstract

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.

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Literaturverzeichnis

  1. Cherri, A.; Arenales, M.; Yanasse, H.: The Unidimensional Cutting Stock Problem with Usable Leftover — A Heuristic Approach. Working Paper No. 90, Serie Computacao (2007), Universidade de Sao Paulo.

    Google Scholar 

  2. Dyckhoff, H.: A Typology of Cutting and Packing Problems. In: European Journal of Operations Research 44 (1990), 145–159.

    Article  Google Scholar 

  3. Eilon, S.: Optimizing the Shearing of Steel Bars. In: Journal of Mechanical Engineering Science 2 (1960), 129–142.

    Article  Google Scholar 

  4. Eisemann, K.: The Trim Problem. In: Management Science 3 (1957), 279–284.

    Article  Google Scholar 

  5. Förstner, K.: Zur Lösung von Entscheidungsaufgaben bei der Papierherstellung. In: Zeitschrift für Betriebswirtschaftslehre 29 (1959). 693–703, 756–765.

    Google Scholar 

  6. Gradisar, M.; Resinovic, G.; Kljajic, M.:A Hybrid Approach for Optimization of One-Dimensional Cutting. In: European Journal of Operations Research 119 (1999), 719–728.

    Article  Google Scholar 

  7. Gradisar, M.; Trkman, P.: A Combined Approach to the Solution to the General One-Dimensional Cutting Stock Problem. In: Computers & Operations Research 32 (2005), 1793–1807.

    Article  Google Scholar 

  8. Paull, A. E.: Linear Programming: A Key to Optimum Newsprint Production. In: Pulp and Paper Magazine of Canada 57 (1956), 146–150.

    Google Scholar 

  9. Paull, A. E.; Walter, J. R.: The Trim Problem: An Application of Linear Programming to the Manufacture of Newsprint Paper (Abstract). In: Econometrica 23 (1955), 336.

    Google Scholar 

  10. Scheithauer, G.: A Note on Handling Residual Lengths. In: Optimization 22 (1991), 461–466.

    Article  Google Scholar 

  11. Trkman, P.; Gradisar, M.: One-Dimensional Cutting Stock Optimization in Consecutive Time Periods. In: European Journal of Operations Research 179 (2007), 291–301.

    Article  Google Scholar 

  12. Wäscher, G.; Haußner, H.; Schumann, H.: An Improved Typology of Cutting and Packing Problems. In: European Journal of Operational Research 183 (2007), 1109–1130.

    Article  Google Scholar 

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Andreas Bortfeldt Jörg Homberger Herbert Kopfer Giselher Pankratz Reinhard Strangmeier

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© 2008 Betriebswirtschaftlicher Verlag Dr. Th. Gabler | GWV Fachverlage GmbH, Wiesbaden

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Koch, S., König, S., Wäscher, G. (2008). Lineare Optimierung für ein Zuschnittproblem in der holzverarbeitenden Industrie — Ein Anwendungsbericht. In: Bortfeldt, A., Homberger, J., Kopfer, H., Pankratz, G., Strangmeier, R. (eds) Intelligent Decision Support. Gabler. https://doi.org/10.1007/978-3-8349-9777-7_3

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