Rapid Prototyping of Optimization Algorithms Using COIN-OR: A Case Study Involving the Cutting-Stock Problem
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DOI: 10.1007/s10479-005-3450-1
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- A. A. Farley, 1990. "A Note on Bounding a Class of Linear Programming Problems, Including Cutting Stock Problems," Operations Research, INFORMS, vol. 38(5), pages 922-923, October.
- Jayant R. Kalagnanam & Milind W. Dawande & Mark Trumbo & Ho Soo Lee, 2000. "The Surplus Inventory Matching Problem in the Process Industry," Operations Research, INFORMS, vol. 48(4), pages 505-516, August.
- MARCHAND, Hugues & WOLSEY, Laurence A., 2001. "Aggregation and mixed integer rounding to solve mips," LIDAM Reprints CORE 1513, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Carlton E. Lemke & Kurt Spielberg, 1967. "Direct Search Algorithms for Zero-One and Mixed-Integer Programming," Operations Research, INFORMS, vol. 15(5), pages 892-914, October.
- Gau, T. & Wascher, G., 1995. "CUTGEN1: A problem generator for the standard one-dimensional cutting stock problem," European Journal of Operational Research, Elsevier, vol. 84(3), pages 572-579, August.
- P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
- Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
- Zeger Degraeve & Marc Peeters, 2003. "Optimal Integer Solutions to Industrial Cutting-Stock Problems: Part 2, Benchmark Results," INFORMS Journal on Computing, INFORMS, vol. 15(1), pages 58-81, February.
- Zeger Degraeve & Linus Schrage, 1999. "Optimal Integer Solutions to Industrial Cutting Stock Problems," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 406-419, November.
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Keywords
open-source software; cutting stock problem; branch-and-price methods; integer programming;All these keywords.
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