Location-Routing Problem With Demand Range

This research proposes a new variant of the location-routing problem (LRP) called LRP with Demand Range (LRPDR) by allowing flexibility in the delivery quantity. The goal of the LRPDR is to minimize the objective value calculated by the total cost minus the extra revenue. The total cost consists of...

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Main Authors: Vincent F. Yu, Panca Jodiawan, Yi-Hsuan Ho, Shih-Wei Lin
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8862809/
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author Vincent F. Yu
Panca Jodiawan
Yi-Hsuan Ho
Shih-Wei Lin
author_facet Vincent F. Yu
Panca Jodiawan
Yi-Hsuan Ho
Shih-Wei Lin
author_sort Vincent F. Yu
collection DOAJ
description This research proposes a new variant of the location-routing problem (LRP) called LRP with Demand Range (LRPDR) by allowing flexibility in the delivery quantity. The goal of the LRPDR is to minimize the objective value calculated by the total cost minus the extra revenue. The total cost consists of the travelling cost of vehicles, the opening cost of the depots, and the activation cost of vehicles. This study proposes a new hybrid algorithm, SAPSO, that combines simulated annealing (SA) and particle swarm algorithm (PSO) for solving the LRPDR. Since this problem has not yet been studied in the literature, a mathematical model is proposed and solved by the Gurobi solver. The results obtained by Gurobi are then compared with those obtained by the proposed SAPSO algorithm. In addition, the performance of the proposed SAPSO algorithm is assessed by solving the LRP benchmark instances, and comparing the results with those of existing state-of-the-art algorithms for LRP. Based on the experimental results, the proposed SAPSO algorithm improves the performance of the basic SA algorithm and outperforms Gurobi. Moreover, the benefits of the LRPDR over LRP are presented in terms of total cost reduction.
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spelling doaj.art-48f1aef5f426437da223c637f56860d72022-12-21T20:18:26ZengIEEEIEEE Access2169-35362019-01-01714914214915510.1109/ACCESS.2019.29462198862809Location-Routing Problem With Demand RangeVincent F. Yu0Panca Jodiawan1Yi-Hsuan Ho2Shih-Wei Lin3https://orcid.org/0000-0003-1343-0838Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, TaiwanDepartment of Industrial Management, National Taiwan University of Science and Technology, Taipei, TaiwanDepartment of Industrial Management, National Taiwan University of Science and Technology, Taipei, TaiwanDepartment of Information Management, Chang Gung University, Taoyuan, TaiwanThis research proposes a new variant of the location-routing problem (LRP) called LRP with Demand Range (LRPDR) by allowing flexibility in the delivery quantity. The goal of the LRPDR is to minimize the objective value calculated by the total cost minus the extra revenue. The total cost consists of the travelling cost of vehicles, the opening cost of the depots, and the activation cost of vehicles. This study proposes a new hybrid algorithm, SAPSO, that combines simulated annealing (SA) and particle swarm algorithm (PSO) for solving the LRPDR. Since this problem has not yet been studied in the literature, a mathematical model is proposed and solved by the Gurobi solver. The results obtained by Gurobi are then compared with those obtained by the proposed SAPSO algorithm. In addition, the performance of the proposed SAPSO algorithm is assessed by solving the LRP benchmark instances, and comparing the results with those of existing state-of-the-art algorithms for LRP. Based on the experimental results, the proposed SAPSO algorithm improves the performance of the basic SA algorithm and outperforms Gurobi. Moreover, the benefits of the LRPDR over LRP are presented in terms of total cost reduction.https://ieeexplore.ieee.org/document/8862809/Demand rangehybrid algorithmlocation routing problemparticle swarm algorithmsimulated annealing
spellingShingle Vincent F. Yu
Panca Jodiawan
Yi-Hsuan Ho
Shih-Wei Lin
Location-Routing Problem With Demand Range
IEEE Access
Demand range
hybrid algorithm
location routing problem
particle swarm algorithm
simulated annealing
title Location-Routing Problem With Demand Range
title_full Location-Routing Problem With Demand Range
title_fullStr Location-Routing Problem With Demand Range
title_full_unstemmed Location-Routing Problem With Demand Range
title_short Location-Routing Problem With Demand Range
title_sort location routing problem with demand range
topic Demand range
hybrid algorithm
location routing problem
particle swarm algorithm
simulated annealing
url https://ieeexplore.ieee.org/document/8862809/
work_keys_str_mv AT vincentfyu locationroutingproblemwithdemandrange
AT pancajodiawan locationroutingproblemwithdemandrange
AT yihsuanho locationroutingproblemwithdemandrange
AT shihweilin locationroutingproblemwithdemandrange