Analysis of upper bounds for the pallet loading problem

Letchford, A N and Amaral, A R S (2001) Analysis of upper bounds for the pallet loading problem. European Journal of Operational Research, 132 (3). pp. 582-593. ISSN 0377-2217

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This paper is concerned with upper bounds for the well-known Pallet Loading Problem (PLP), which is the problem of packing identical boxes into a rectangular pallet so as to maximize the number of boxes fitted. After giving a comprehensive review of the known upper bounds in the literature, we conduct a detailed analysis to determine which bounds dominate which others. The result is a ranking of the bounds in a partial order. It turns out that two of the bounds dominate all others: a bound due to Nelissen and a bound obtained from the linear programming relaxation of a set packing formulation. Experiments show that the latter is almost always optimal and can be computed quickly.

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Journal Article
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European Journal of Operational Research
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11 Jul 2011 17:56
Last Modified:
21 Nov 2022 20:56