OptAtlas
Application problem

Paper Roll Slitting

Slit large paper rolls into ordered widths, reducing trim loss.

Also called: Paper Roll Slitting · 롤 슬리팅 · Roll slitting

Last verified: 2026-05-27

Slitting large master paper rolls into customer-ordered widths while minimizing trim loss and the number of rolls used. An industrial instance (E1_variant) of 1D Cutting Stock, and the historical motivation that led Gilmore–Gomory to introduce column generation for cutting stock.

Claims & evidence

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RelationshipClaimEquiv.EvidenceSources
industry instance of1D Cutting StockPaper roll slitting is an industrial instance of 1D cutting stock and was the real-world motivation behind Gilmore–Gomory's cutting-stock work.E1A
  • AA Linear Programming Approach to the Cutting-Stock Problem
occurs inPaper ManufacturingRoll slitting is a core step in paper processing.B
  • AA Linear Programming Approach to the Cutting-Stock Problem

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See also

Not directly linked, but conceptually close — by the connections and descriptions they share.