2008
DOI: 10.1016/j.ejor.2006.11.012
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Solving the pallet loading problem

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Cited by 45 publications
(59 citation statements)
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“…This example is just one case, each n and k pairs have several combinations depending on the occurrence of PLCs. Equation (18) shows the formula, which defines the number of possible combinations.…”
Section: Complexity Of Order Picking Of One Ul Without Order Separationmentioning
confidence: 99%
See 1 more Smart Citation
“…This example is just one case, each n and k pairs have several combinations depending on the occurrence of PLCs. Equation (18) shows the formula, which defines the number of possible combinations.…”
Section: Complexity Of Order Picking Of One Ul Without Order Separationmentioning
confidence: 99%
“…However, while the physical product parameters (dimensions, weight, SKU type) and product stacking properties influence the physically possible picking sequence in order to build stable ULs, researchers rarely take into account these aspects during SLA and routing optimisation. Furthermore, many researchers have attained valuable results in the fields of Pallet Loading and Bin Packing Problem (e.g., [18,17,3,21,11]), but the solutions are rarely harmonised with SLA and routing algorithms. Shiau et al solved the multi-container loading problem and defined the order picking sequence but they avoided the SLA [22].…”
Section: Introductionmentioning
confidence: 99%
“…Martins and Dell (2007) define the Minimum Size Instance (MSI) of an equivalence class of PLP and present an algorithm for MSI. Martins and Dell (2008) present new bounds, heuristics, and an exact algorithm for the MPL The set of all PLP instances with an area ratio (pallet area divided by box area) less than 101 boxes can be represented by 3,080,730 equivalent classes. They propose a heuristic, namely, G5-heuristic, which finds optimal solutions to 3,073,724 of these 3,080,730 classes and in the remaining 7006 classes only differs from the best known bound by one box.…”
Section: Literature Reviewmentioning
confidence: 99%
“…It could be observed that the majority of them use exact algorithms with the incorporation of heuristics. The conformation of blocks (G4, G5), patterns or groups the heuristic method more widely employed when solving the PLP in either of its two variations as in the works of [1], [6], [7], [10], [14], [17], [31], [34], [37], [38] and [39]. Heuristics are normally used within these solution methods because they allowed the possibility to reduce computational time for this NPhard problem.…”
Section: Literature Reviewmentioning
confidence: 99%
“…In other cases, programming languages such as C+ in its different versions have been the chosen language for the development of the algorithms as referred in [3], [8], [10], [12], [14], [23], [25], [26], [31], [37] and [39].…”
Section: Literature Reviewmentioning
confidence: 99%