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A breadth-first search applied to the minimization of the open stacks

Author

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  • Marco Antonio Moreira de Carvalho

    (Ouro Preto Federal University, Ouro Preto, Brazil)

  • Nei Yoshihiro Soma

    (Instituto Tecnológico de Aeronáutica, Praça Marechal Eduardo Gomes, São Paulo, Brazil)

Abstract

This paper presents a heuristic for the minimization of the open stacks problem (MOSP). The proposed heuristic is based on a simple breadth-first search in MOSP graphs and two new greedy rules to overcome errors. The performance of the proposed heuristic is compared with the best exact and heuristic methods available in the literature. The results show that in addition to the suggested heuristic having much shorter running times than the exact algorithm, the error gap between them is small for a substantial proportion of almost 4500 benchmark instances taken from the literature. The proposed heuristic also has a more robust behaviour than the best heuristic for the MOSP, although less accurate. The proposed heuristic therefore constitutes a viable and cost-effective alternative for solving or obtaining good upper bounds for the MOSP.

Suggested Citation

  • Marco Antonio Moreira de Carvalho & Nei Yoshihiro Soma, 2015. "A breadth-first search applied to the minimization of the open stacks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(6), pages 936-946, June.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:6:p:936-946
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    Cited by:

    1. Yaodong Cui & Xiang Song & Yan Chen & Yi-Ping Cui, 2017. "New model and heuristic solution approach for one-dimensional cutting stock problem with usable leftovers," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(3), pages 269-280, March.

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