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The following give various basic CSP models of this problem [frisch2001modelling], [frisch2001symmetry] [hnich2004hybrid].

More recent results, and more sophisticated models can be found in the following [gargani2007efficient] [schaus2011solving] [heinz2012solving].

This paper describes the closely related variable-sized bin-packing with colour constraints problem, and approximation algorithms to solve it [dawande2001variable].

This paper describes a more general (and significantly more complex) version of the steel mill problem [kalagnanam1998inventory].

[heinz2012solving]
Stefan Heinz, Thomas Schlechte, Rüdiger Stephan, and Michael Winkler
Solving steel mill slab design problems
Constraints 17(1), 39–50, 2012

[schaus2011solving]
Pierre Schaus, Pascal Van Hentenryck, Jean-Noël Monette, Carleton Coffrin, Laurent Michel, and Yves Deville
Solving steel mill slab problems with constraint-based techniques: CP, LNS, and CBLS
Constraints 16(2), 125–147, 2011

[gargani2007efficient]
Antoine Gargani and Philippe Refalo
An efficient model and strategy for the steel mill slab design problem
Principles and Practice of Constraint Programming–CP 2007, 77–89, 2007

[hnich2004hybrid]
Brahim Hnich, Zeynep Kiziltan, Ian Miguel, and Toby Walsh
Hybrid modelling for robust solving
Annals of Operations Research 130(1-4), 19–39, 2004

[dawande2001variable]
Milind Dawande, Jayant Kalagnanam, and Jay Sethuraman
Variable sized bin packing with color constraints
Electronic Notes in Discrete Mathematics, 154–157, 2001

[frisch2001modelling]
Alan M Frisch, Ian Miguel, and Toby Walsh
Modelling a steel mill slab design problem
Proceedings of the IJCAI-01 workshop on modelling and solving problems with constraints, 2001

[frisch2001symmetry]
Alan M Frisch, Ian Miguel, and Toby Walsh
Symmetry and implied constraints in the steel mill slab design problem
Proc. CP’01 Wshop on Modelling and Problem Formulation, 2001

[kalagnanam1998inventory]
Jayant R Kalagnanam, Milind W Dawande, Mark Trumbo, and Ho Soo Lee
Inventory matching problems in the steel industry
IBM TJ Watson Research Center
1998