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Rapid Prototyping of Optimization Algorithms Using COIN-OR: A Case Study Involving the Cutting-Stock Problem

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  • Laszlo Ladanyi
  • Jon Lee
  • Robin Lougee-Heimer

Abstract

The rate at which research ideas can be prototyped is significantly increased when re-useable software components are employed. A mission of the Computational Infrastructure for Operations Research (COIN-OR) initiative is to promote the development and use of re-useable open-source tools for operations research professionals. In this paper, we introduce the COIN-OR initiative and survey recent progress in integer programming that utilizes COIN-OR components. In particular, we present an implementation of an algorithm for finding integer-optimal solutions to a cutting-stock problem. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Laszlo Ladanyi & Jon Lee & Robin Lougee-Heimer, 2005. "Rapid Prototyping of Optimization Algorithms Using COIN-OR: A Case Study Involving the Cutting-Stock Problem," Annals of Operations Research, Springer, vol. 139(1), pages 243-265, October.
  • Handle: RePEc:spr:annopr:v:139:y:2005:i:1:p:243-265:10.1007/s10479-005-3450-1
    DOI: 10.1007/s10479-005-3450-1
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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).
    4. 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.
    5. 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.
    6. 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.
    7. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
    8. 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.
    9. 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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