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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Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
European Journal of Operational Research
Uncontrolled Keywords:
/dk/atira/pure/core/keywords/managementscience
Subjects:
?? packingpallet loadingmathematical programmingmanagement sciencemodelling and simulationmanagement science and operations researchinformation systems and managementhb economic theorydiscipline-based research ??
ID Code:
43270
Deposited By:
Deposited On:
11 Jul 2011 17:56
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 11:44