Mathematical models for the cutting stock with limited open stacks problem

Open Access

Issue		RAIRO-Oper. Res. Volume 57, Number 4, July-August 2023


Page(s)		2067 - 2085
DOI		https://doi.org/10.1051/ro/2023079
Published online		01 August 2023

C. Arbib, F. Marinelli and F. Pezzella, An LP-based tabu search for batch scheduling in a cutting process with finite buffers. Int. J. Prod. Econ. 136 (2012) 287–296. [CrossRef] [Google Scholar]
C. Arbib, F. Marinelli and P. Ventura, One-dimensional cutting stock with a limited number of open stacks: bounds and solutions from a new integer linear programming model. Int. Trans. Oper. Res. 23 (2016) 47–63. [CrossRef] [MathSciNet] [Google Scholar]
J.C. Becceneri, H.H. Yanasse and N.Y. Soma, A method for solving the minimization of the maximum number of open stacks problem within a cutting process. Comput. Oper. Res. 31 (2004) 2315–2332. [CrossRef] [Google Scholar]
G. Belov and G. Scheithauer, Setup and open-stacks minimization in one-dimensional stock cutting. INFORMS J. Comput. 19 (2007) 27–35. [CrossRef] [MathSciNet] [Google Scholar]
D. Catanzaro, L. Golveia and M. Labbé, Improved integer linear programming formulations for the job sequencing and tool switching problem. Eur. J. Oper. Res. 244 (2015) 766–777. [CrossRef] [Google Scholar]
J.F. Côté and M. Iori, The meet-in-the-middle principle for cutting and packing problems. INFORMS J. Comput. 30 (2018) 646–661. [CrossRef] [MathSciNet] [Google Scholar]
M. Delorme and M. Iori, Enhanced pseudo-polynomial formulations for bin packing and cutting stock problems. INFORMS J. Comput. 32 (2020) 101–119. [CrossRef] [MathSciNet] [Google Scholar]
E. Faggioli and C.A. Bentivoglio, Heuristic and exact methods for the cutting sequencing problem. Eur. J. Oper. Res. 110 (1998) 564–575. [CrossRef] [Google Scholar]
P.C. Gilmore and R.E. Gomory, A linear programming approach to the cutting-stock problem. Oper. Res. 9 (1961) 849–859. [CrossRef] [Google Scholar]
P.C. Gilmore and R.E. Gomory, A linear programming approach to the cutting-stock problem – part II. Oper. Res. 11 (1963) 863–888. [CrossRef] [Google Scholar]
P.C. Gilmore and R.E. Gomory, Multi-stage cutting stock problems of two and more dimensions. Oper. Res. 13 (1965) 94–120. [CrossRef] [Google Scholar]
L.V. Kantorovich, Mathematical methods of organizing and planning production. Manage. Sci. 6 (1960) 366–422. [CrossRef] [Google Scholar]
G. Laporte, J.J. Salazar-González and F. Semet, Exact algorithms for the job sequencing and tool switching problem. IIE Trans. 36 (2004) 37–45. [CrossRef] [Google Scholar]
R. Macedo, C. Alves and J.M. Valério de Carvalho, Arc-flow model for the two-dimensional guillotine cutting stock problem. Comput. Oper. Res. 37 (2010) 991–1001. [CrossRef] [Google Scholar]
M. Martin, H.H. Yanasse and M.J. Pinto, Mathematical models for the minimization of open stacks problem. Int. Trans. Oper. Res. 29 (2022) 2944–2967. [CrossRef] [MathSciNet] [Google Scholar]
M. Martin, H.H. Yanasse, M.O. Santos and R. Morabito, Models for two- and three-stage two-dimensional cutting stock problems with a limited number of open stacks. Int. J. Prod. Res. 61 (2023) 2895–2916. [CrossRef] [Google Scholar]
C.E. Miller, A.W. Tucker and R.A. Zemlin, Integer programming formulation of traveling salesman problems. J. ACM (JACM) 7 (1960) 326–329. [CrossRef] [Google Scholar]
K.C. Poldi and M.N. Arenales, Heuristics for the one-dimensional cutting stock problem with limited multiple stock lengths. Comput. Oper. Res. 36 (2009) 2074–2081. [CrossRef] [Google Scholar]
C.S. Tang and E.V. Denardo, Models arising from a flexible manufacturing machine, part I: minimization of the number of the tool switches. Oper. Res. 36 (1988) 767–777. [CrossRef] [Google Scholar]
J.M. Valério de Carvalho, Exact solution of bin-packing problems using column generation and branch-and-bound. Ann. Oper. Res. 86 (1999) 629–659. [CrossRef] [MathSciNet] [Google Scholar]
G. Wäscher, H. Haußner and H. Schumann, An improved typology of cutting and packing problems. Eur. J. Oper. Res. 183 (2007) 1109–1130, 12. [CrossRef] [Google Scholar]
L.A. Wolsey, Valid inequalities, covering problems and discrete dynamic programs. Ann. Discrete Math. 1 (1977) 527–538. [CrossRef] [Google Scholar]
H.H. Yanasse, On a pattern sequencing problem to minimize the maximum number of open stacks. Eur. J. Oper. Res. 100 (1997) 454–463. [CrossRef] [Google Scholar]
H.H. Yanasse and M.J.P. Lamosa, An integrated cutting stock and sequencing problem. Eur. J. Oper. Res. 183 (2007) 1353–1370. [CrossRef] [Google Scholar]

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