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The minimization of open stacks problem: A review of some properties and their use in pre-processing operations

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  • Yanasse, Horacio Hideki
  • Senne, Edson Luiz França

Abstract

Pre-processing operations that reduce the size of a problem may be decisive for solving or not solving practical instances of a NP-hard problem. In this article we review some properties suggested in the literature for the minimization of open stacks problem that can be used in pre-processing operations to reduce the instances sizes. We also present a new pre-processing technique that may be very effective in reducing the size of an instance. We present computational tests with the suggested pre-processing operations applied on sets of MOSP instances of the literature and we show that the reductions obtained can be significant.

Suggested Citation

  • Yanasse, Horacio Hideki & Senne, Edson Luiz França, 2010. "The minimization of open stacks problem: A review of some properties and their use in pre-processing operations," European Journal of Operational Research, Elsevier, vol. 203(3), pages 559-567, June.
    • Handle: RePEc:eee:ejores:v:203:y:2010:i:3:p:559-567
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    References listed on IDEAS

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    1. Foerster, Hildegard & Wascher, Gerhard, 1998. "Simulated annealing for order spread minimization in sequencing cutting patterns," European Journal of Operational Research, Elsevier, vol. 110(2), pages 272-281, October.
    2. Yuen, Boon J., 1991. "Heuristics for sequencing cutting patterns," European Journal of Operational Research, Elsevier, vol. 55(2), pages 183-190, November.
    3. Maria Garcia de la Banda & Peter J. Stuckey, 2007. "Dynamic Programming to Minimize the Maximum Number of Open Stacks," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 607-617, November.
    4. Christopher S. Tang & Eric V. Denardo, 1988. "Models Arising from a Flexible Manufacturing Machine, Part I: Minimization of the Number of Tool Switches," Operations Research, INFORMS, vol. 36(5), pages 767-777, October.
    5. Faggioli, Enrico & Bentivoglio, Carlo Alberto, 1998. "Heuristic and exact methods for the cutting sequencing problem," European Journal of Operational Research, Elsevier, vol. 110(3), pages 564-575, November.
    6. Lim, Andrew & Rodrigues, Brian & Xiao, Fei, 2006. "Heuristics for matrix bandwidth reduction," European Journal of Operational Research, Elsevier, vol. 174(1), pages 69-91, October.
    7. Yuen, Boon J., 1995. "Improved heuristics for sequencing cutting patterns," European Journal of Operational Research, Elsevier, vol. 87(1), pages 57-64, November.
    8. Yuen, Boon J. & Richardson, Ken V., 1995. "Establishing the optimality of sequencing heuristics for cutting stock problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 590-598, August.
    9. Yanasse, Horacio Hideki, 1997. "On a pattern sequencing problem to minimize the maximum number of open stacks," European Journal of Operational Research, Elsevier, vol. 100(3), pages 454-463, August.
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    Cited by:

    1. Cui, Yaodong & Huang, Baixiong, 2012. "Reducing the number of cuts in generating three-staged cutting patterns," European Journal of Operational Research, Elsevier, vol. 218(2), pages 358-365.
    2. Matthias Kaltenbrunner & Maria Anna Huka & Manfred Gronalt, 2022. "Heuristic based approach for short term production planning in highly automated customer oriented pallet production," Journal of Intelligent Manufacturing, Springer, vol. 33(4), pages 1087-1098, April.

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