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Average‐case analysis of the bin‐packing problem with general cost structures

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  • Julien Bramel
  • WanSoo T. Rhee
  • David Simchi‐Levi

Abstract

We consider a version of the famous bin‐packing problem where the cost of a bin is a concave function of the number of items in the bin. We analyze the problem from an average‐case point of view and develop techniques to determine the asymptotic optimal solution value for a variety of functions. We also describe heuristic techniques that are asymptotically optimal. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 673–686, 1997

Suggested Citation

  • Julien Bramel & WanSoo T. Rhee & David Simchi‐Levi, 1997. "Average‐case analysis of the bin‐packing problem with general cost structures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(7), pages 673-686, October.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:7:p:673-686
    DOI: 10.1002/(SICI)1520-6750(199710)44:73.0.CO;2-9
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    References listed on IDEAS

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    1. P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
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    1. Wang, Ting & Hu, Qian & Lim, Andrew, 2022. "An exact algorithm for two-dimensional vector packing problem with volumetric weight and general costs," European Journal of Operational Research, Elsevier, vol. 300(1), pages 20-34.

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