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A New Linear Programming Approach to the Cutting Stock Problem

Author

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  • Harald Dyckhoff

    (Fernuniversität Hagen, Federal Republic of Germany)

Abstract

A new approach to the one-dimensional cutting stock problem is described and compared to the classical model for which Gilmore and Gomory have developed a special column-generation technique. The new model is characterized by a dynamic use of simply structured cutting patterns. Nevertheless, it enables the representation of complex combinations of cuts. It can be advantageous in practical applications where many different stock lengths or a relatively large number of order lengths have to be dealt with. The new approach is applied to a real problem where the “trim loss” is not valueless, since it can be used for further demands arising in later planning periods.

Suggested Citation

  • Harald Dyckhoff, 1981. "A New Linear Programming Approach to the Cutting Stock Problem," Operations Research, INFORMS, vol. 29(6), pages 1092-1104, December.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:6:p:1092-1104
    DOI: 10.1287/opre.29.6.1092
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