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Vector bin packing with heterogeneous bins: application to the machine reassignment problem

Author

Listed:
  • Michaël Gabay

    (Univ. Grenoble Alpes
    CNRS, G-SCOP)

  • Sofia Zaourar

    (UJF, Inria Grenoble)

Abstract

In this paper, we introduce a generalization of the vector bin packing problem, where the bins have variable sizes. This generalization can be used to model virtual machine placement problems and in particular to build feasible solutions for the machine reassignment problem. We propose several families of greedy heuristics for this problem and show that they are flexible and can be adapted to handle additional constraints. We present structural properties of the machine reassignment problem, that allow us to decompose it into smaller subproblems and adapt our heuristics to them. We evaluate our heuristics on academic benchmarks of the vector bin packing problem, a randomly generated vector bin packing problem with heterogeneous bins benchmark as well as Google’s realistic instances of the machine reassignment problem.

Suggested Citation

  • Michaël Gabay & Sofia Zaourar, 2016. "Vector bin packing with heterogeneous bins: application to the machine reassignment problem," Annals of Operations Research, Springer, vol. 242(1), pages 161-194, July.
    • Handle: RePEc:spr:annopr:v:242:y:2016:i:1:d:10.1007_s10479-015-1973-7
    DOI: 10.1007/s10479-015-1973-7
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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).
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    Cited by:

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    2. Li, Jiliu & Xu, Min & Sun, Peng, 2022. "Two-echelon capacitated vehicle routing problem with grouping constraints and simultaneous pickup and delivery," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 261-291.

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