Mixed-Integer and Constraint Programming Models for the Two-Dimensional Guillotine Cutting Problem

•Small oriented rectangles cut from a large rectangular plate via guillotine cuts.•Our modelling approach formulates the problem as a binary tree of guillotine cuts.•Our mixed-integer and constraint programming models solve the problem exactly.•Our constraint program benefits from cumulative schedul...

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Bibliographic Details

Published in:	European journal of operational research
Main Authors:	Polyakovskiy, Sergey, Dehghan, Milad, Mcgregor, Adam, Stuckey, Peter J.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.10.2025
Subjects:	Constraint Programming Cutting and Packing Exact Approach Mixed-Integer Linear Programming Two-dimensional Knapsack Problem Cutting and Packing Constraint Programming Mixed-Integer Linear Programming Two-dimensional Knapsack Problem Exact Approach
ISSN:	0377-2217
Online Access:	Get full text
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