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 0377-2217Full text not available from this repository.
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.
|Journal or Publication Title:||European Journal of Operational Research|
|Uncontrolled Keywords:||packing ; pallet loading ; mathematical programming|
|Subjects:||H Social Sciences > HB Economic Theory|
|Departments:||Lancaster University Management School > Management Science|
|Deposited On:||11 Jul 2011 18:56|
|Last Modified:||21 Apr 2016 01:14|
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