Brandão, F. and Pedroso, J. P. (2013). Cutting Stock with Binary Patterns: Arc-flow Formulation with Graph Compression.
Technical Report DCC-2013-09, Faculdade de Ciências da Universidade do Porto, Universidade do Porto, Portugal.
Technical Report (PDF) (also available at arXiv:1502.02899)
Abstract
The cutting stock problem with binary patterns (0-1 CSP) is a variant of CSP that usually appears as a relaxation of 2D and 3D packing problems. We present an exact method, based on an arc-flow formulation with side constraints, for solving 0-1 CSP by simply representing all the patterns in a very compact graph.
Gilmore-Gomory's column generation approach is usually used to compute strong lower bounds for 0-1 CSP. We report a computational comparison between the arc-flow approach and the Gilmore-Gomory's approach.
BibTeX
@TechReport{01CSPArcFlow,
author = {Brand~ao, Filipe and Pedroso, J. P.},
title = {{Cutting Stock with Binary Patterns: Arc-flow Formulation with Graph Compression}},
type = {Technical Report},
number = {DCC-2013-09},
institution = {Faculdade de Ci\^encias da Universidade do Porto},
address = {Portugal},
year = {2013},
}
See also
Cutting & Packing Problems: General Arc-flow Formulation with Graph Compression
Bin Packing and Related Problems: General Arc-flow Formulation with Graph Compression
Multiple-choice Vector Bin Packing: Arc-flow Formulation with Graph Compression