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**Cutting stock problems and solution procedures.**
*(English)*
Zbl 0736.90062

Summary: This paper discusses some of the basic formulation issues and solution procedures for solving one- and two-dimensional cutting stock problems. Linear programming, sequential heuristic and hybrid solution procedures are described. For two-dimensional cutting stock problems with rectangular shapes, we also propose an approach for solving large problems with limits on the number of times an ordered size may appear in a pattern.

### MSC:

90C27 | Combinatorial optimization |

90B30 | Production models |

90C05 | Linear programming |

90-02 | Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming |

90-08 | Computational methods for problems pertaining to operations research and mathematical programming |

### Keywords:

one- and two-dimensional cutting stock; sequential heuristic; trim loss; pattern generation; two-dimensional knapsack
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\textit{R. W. Haessler} and \textit{P. E. Sweeney}, Eur. J. Oper. Res. 54, No. 2, 141--150 (1991; Zbl 0736.90062)

### References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.