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Efficient algorithms for the offline variable sized bin-packing problem

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  • Mohamed Maiza
  • Abdenour Labed
  • Mohammed Radjef

Abstract

We addresses a variant of the classical one dimensional bin-packing problem where several types of bins with unequal sizes and costs are presented. Each bin-type includes limited and/or unlimited identical bins. The goal is to minimize the total cost of bins needed to store a given set of items, each item with some space requirements. Four new heuristics to solve this problem are proposed, developed and compared. The experiments results show that higher quality solutions can be obtained using the proposed algorithms. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Mohamed Maiza & Abdenour Labed & Mohammed Radjef, 2013. "Efficient algorithms for the offline variable sized bin-packing problem," Journal of Global Optimization, Springer, vol. 57(3), pages 1025-1038, November.
    • Handle: RePEc:spr:jglopt:v:57:y:2013:i:3:p:1025-1038
    DOI: 10.1007/s10898-012-9989-x
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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. Kang, Jangha & Park, Sungsoo, 2003. "Algorithms for the variable sized bin packing problem," European Journal of Operational Research, Elsevier, vol. 147(2), pages 365-372, June.
    3. Belov, G. & Scheithauer, G., 2002. "A cutting plane algorithm for the one-dimensional cutting stock problem with multiple stock lengths," European Journal of Operational Research, Elsevier, vol. 141(2), pages 274-294, September.
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    Cited by:

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    2. Baldi, Mauro Maria & Manerba, Daniele & Perboli, Guido & Tadei, Roberto, 2019. "A Generalized Bin Packing Problem for parcel delivery in last-mile logistics," European Journal of Operational Research, Elsevier, vol. 274(3), pages 990-999.

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