Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem

This paper presents a study on the complexity of cargo arrangements in the pallet loading problem. Due to the diversity of perspectives that have been presented in the literature, complexity is one of the least studied practical constraints. In this work, we aim to refine and propose a new set of me...

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Main Authors: Hugo Barros, Teresa Pereira, António G. Ramos, Fernanda A. Ferreira
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/15/1742
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spelling doaj-3906da4ae2e34060b8ca965795eb5d4f2021-08-06T15:28:16ZengMDPI AGMathematics2227-73902021-07-0191742174210.3390/math9151742Complexity Constraint in the Distributor’s Pallet<break/> Loading ProblemHugo Barros0Teresa Pereira1António G. Ramos2Fernanda A. Ferreira3Centre for Research & Development in Mechanical Engineering (CIDEM), School of Engineering, Polytechnic of Porto, 4200-072 Porto, PortugalCentre for Research & Development in Mechanical Engineering (CIDEM), School of Engineering, Polytechnic of Porto, 4200-072 Porto, PortugalInstitute for Systems and Computer Engineering, Technology and Science (INESC-TEC), School of Engineering, Polytechnic of Porto, 4249-015 Porto, PortugalApplied Management Research Unit (UNIAG), School of Hospitality and Tourism, Polytechnic of Porto, 4480-876 Vila do Conde, PortugalThis paper presents a study on the complexity of cargo arrangements in the pallet loading problem. Due to the diversity of perspectives that have been presented in the literature, complexity is one of the least studied practical constraints. In this work, we aim to refine and propose a new set of metrics to measure the complexity of an arrangement of cargo in a pallet. The parameters are validated using statistical methods, such as principal component analysis and multiple linear regression, using data retrieved from the company logistics. Our tests show that the number of boxes was the main variable responsible for explaining complexity in the pallet loading problem.https://www.mdpi.com/2227-7390/9/15/1742pallet loading problemcomplexityprincipal components analysismultiple linear regression
collection DOAJ
language English
format Article
sources DOAJ
author Hugo Barros
Teresa Pereira
António G. Ramos
Fernanda A. Ferreira
spellingShingle Hugo Barros
Teresa Pereira
António G. Ramos
Fernanda A. Ferreira
Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem
Mathematics
pallet loading problem
complexity
principal components analysis
multiple linear regression
author_facet Hugo Barros
Teresa Pereira
António G. Ramos
Fernanda A. Ferreira
author_sort Hugo Barros
title Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem
title_short Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem
title_full Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem
title_fullStr Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem
title_full_unstemmed Complexity Constraint in the Distributor’s Pallet<break/> Loading Problem
title_sort complexity constraint in the distributor’s pallet<break/> loading problem
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-07-01
description This paper presents a study on the complexity of cargo arrangements in the pallet loading problem. Due to the diversity of perspectives that have been presented in the literature, complexity is one of the least studied practical constraints. In this work, we aim to refine and propose a new set of metrics to measure the complexity of an arrangement of cargo in a pallet. The parameters are validated using statistical methods, such as principal component analysis and multiple linear regression, using data retrieved from the company logistics. Our tests show that the number of boxes was the main variable responsible for explaining complexity in the pallet loading problem.
topic pallet loading problem
complexity
principal components analysis
multiple linear regression
url https://www.mdpi.com/2227-7390/9/15/1742
work_keys_str_mv AT hugobarros complexityconstraintinthedistributorspalletbreakloadingproblem
AT teresapereira complexityconstraintinthedistributorspalletbreakloadingproblem
AT antoniogramos complexityconstraintinthedistributorspalletbreakloadingproblem
AT fernandaaferreira complexityconstraintinthedistributorspalletbreakloadingproblem
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