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A New Linear Programming Approach to the Cutting Stock Problem

Harald Dyckhoff

Fernuniversität Hagen, Federal Republic of Germany

Operations Research 1981

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.

DOI
10.1287/opre.29.6.1092
Volume
29 (6)
Pages
1092-1104
Language
en
Export
BibTeX
Sources
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