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A new destructive bounding scheme for the bin packing problem

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  • Bassem Jarboui
  • Saber Ibrahim
  • Abdelwaheb Rebai

Abstract

In this paper, we present a new lower bounding scheme for the one-dimensional bin packing problem based on a destructive approach and we prove its effectiveness to solve hard instances. Performance comparison to other available lower bounds shows the effectiveness of our proposed lower bounds. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Bassem Jarboui & Saber Ibrahim & Abdelwaheb Rebai, 2010. "A new destructive bounding scheme for the bin packing problem," Annals of Operations Research, Springer, vol. 179(1), pages 187-202, September.
    • Handle: RePEc:spr:annopr:v:179:y:2010:i:1:p:187-202:10.1007/s10479-008-0459-2
    DOI: 10.1007/s10479-008-0459-2
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    References listed on IDEAS

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    1. Scholl, Armin & Klein, Robert & Jürgens, Christian, 1996. "BISON : a fast hybrid procedure for exactly solving the one-dimensional bin packing problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 49135, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Crainic, Teodor Gabriel & Perboli, Guido & Pezzuto, Miriam & Tadei, Roberto, 2007. "Computing the asymptotic worst-case of bin packing lower bounds," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1295-1303, December.
    3. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
    4. Elhedhli, Samir, 2005. "Ranking lower bounds for the bin-packing problem," European Journal of Operational Research, Elsevier, vol. 160(1), pages 34-46, January.
    5. Martine Labbé & Gilbert Laporte & Hélène Mercure, 1991. "Capacitated Vehicle Routing on Trees," Operations Research, INFORMS, vol. 39(4), pages 616-622, August.
    6. Mauro Dell’Amico & Silvano Martello, 1995. "Optimal Scheduling of Tasks on Identical Parallel Processors," INFORMS Journal on Computing, INFORMS, vol. 7(2), pages 191-200, May.
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    Cited by:

    1. Liao, Chung-Shou & Hsu, Chia-Hong, 2013. "New lower bounds for the three-dimensional orthogonal bin packing problem," European Journal of Operational Research, Elsevier, vol. 225(2), pages 244-252.
    2. Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
    3. Husseinzadeh Kashan, Ali & Ozturk, Onur, 2022. "Improved MILP formulation equipped with valid inequalities for scheduling a batch processing machine with non-identical job sizes," Omega, Elsevier, vol. 112(C).

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