Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles

Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles

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Article ID: iaor20011350
Country: Netherlands
Volume: 125
Issue: 2
Start Page Number: 239
End Page Number: 248
Publication Date: Sep 2000
Journal: European Journal of Operational Research
Authors:
Abstract:

A problem of optimum guillotine cutting of a rectangle into smaller equal rectangles is considered. The main decomposition theorem for this problem is proved. The method of continued fractions is used for decreasing the number of problem parameters. A fast algorithm for solving the problem based on this result is presented. A numerical example is given.

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