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An algorithm for a class of loading problems

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  • Ming S. Hung
  • J. Randall Brown

Abstract

The loading problem we consinder is to assign a set of discrete objects, each having a weight, to a set of boxes, each of which has a capacity limit, in such a way that every object is assigned to a box and the number of boxes used is minimized. A characterization of the assignments is offered and used to develop a set of rules for generating nonredundant assignments. The rules are incorporated into an implicit enumeration algorithm. The algorithm is tested against a very good heuristic. Computational experience shows that the algorithm is highly efficient, solving problems of up to 3600 0‐1 variables in a CPU second.

Suggested Citation

  • Ming S. Hung & J. Randall Brown, 1978. "An algorithm for a class of loading problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(2), pages 289-297, June.
    • Handle: RePEc:wly:navlog:v:25:y:1978:i:2:p:289-297
    DOI: 10.1002/nav.3800250209
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    Cited by:

    1. Yu Fu & Amarnath Banerjee, 2020. "Heuristic/meta-heuristic methods for restricted bin packing problem," Journal of Heuristics, Springer, vol. 26(5), pages 637-662, October.

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