An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain

The integration with different decisions in the supply chain is a trend, since it can avoid the suboptimal decisions. In this paper, we provide an effective intelligent algorithm for a modified joint replenishment and location-inventory problem (JR-LIP). The problem of the JR-LIP is to determine the...

Full description

Saved in:
Bibliographic Details
Main Authors: Lin Wang, Hui Qu, Tao Chen, Fang-Ping Yan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/270249
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832563689892347904
author Lin Wang
Hui Qu
Tao Chen
Fang-Ping Yan
author_facet Lin Wang
Hui Qu
Tao Chen
Fang-Ping Yan
author_sort Lin Wang
collection DOAJ
description The integration with different decisions in the supply chain is a trend, since it can avoid the suboptimal decisions. In this paper, we provide an effective intelligent algorithm for a modified joint replenishment and location-inventory problem (JR-LIP). The problem of the JR-LIP is to determine the reasonable number and location of distribution centers (DCs), the assignment policy of customers, and the replenishment policy of DCs such that the overall cost is minimized. However, due to the JR-LIP’s difficult mathematical properties, simple and effective solutions for this NP-hard problem have eluded researchers. To find an effective approach for the JR-LIP, a hybrid self-adapting differential evolution algorithm (HSDE) is designed. To verify the effectiveness of the HSDE, two intelligent algorithms that have been proven to be effective algorithms for the similar problems named genetic algorithm (GA) and hybrid DE (HDE) are chosen to compare with it. Comparative results of benchmark functions and randomly generated JR-LIPs show that HSDE outperforms GA and HDE. Moreover, a sensitive analysis of cost parameters reveals the useful managerial insight. All comparative results show that HSDE is more stable and robust in handling this complex problem especially for the large-scale problem.
format Article
id doaj-art-22b2e8819bf44ab99f1030f5f70721b2
institution Kabale University
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-22b2e8819bf44ab99f1030f5f70721b22025-02-03T01:12:50ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/270249270249An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply ChainLin Wang0Hui Qu1Tao Chen2Fang-Ping Yan3School of Management, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Management, Huazhong University of Science and Technology, Wuhan 430074, ChinaCollege of Public Administration, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Management, Huazhong University of Science and Technology, Wuhan 430074, ChinaThe integration with different decisions in the supply chain is a trend, since it can avoid the suboptimal decisions. In this paper, we provide an effective intelligent algorithm for a modified joint replenishment and location-inventory problem (JR-LIP). The problem of the JR-LIP is to determine the reasonable number and location of distribution centers (DCs), the assignment policy of customers, and the replenishment policy of DCs such that the overall cost is minimized. However, due to the JR-LIP’s difficult mathematical properties, simple and effective solutions for this NP-hard problem have eluded researchers. To find an effective approach for the JR-LIP, a hybrid self-adapting differential evolution algorithm (HSDE) is designed. To verify the effectiveness of the HSDE, two intelligent algorithms that have been proven to be effective algorithms for the similar problems named genetic algorithm (GA) and hybrid DE (HDE) are chosen to compare with it. Comparative results of benchmark functions and randomly generated JR-LIPs show that HSDE outperforms GA and HDE. Moreover, a sensitive analysis of cost parameters reveals the useful managerial insight. All comparative results show that HSDE is more stable and robust in handling this complex problem especially for the large-scale problem.http://dx.doi.org/10.1155/2013/270249
spellingShingle Lin Wang
Hui Qu
Tao Chen
Fang-Ping Yan
An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain
The Scientific World Journal
title An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain
title_full An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain
title_fullStr An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain
title_full_unstemmed An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain
title_short An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain
title_sort effective hybrid self adapting differential evolution algorithm for the joint replenishment and location inventory problem in a three level supply chain
url http://dx.doi.org/10.1155/2013/270249
work_keys_str_mv AT linwang aneffectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT huiqu aneffectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT taochen aneffectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT fangpingyan aneffectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT linwang effectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT huiqu effectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT taochen effectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain
AT fangpingyan effectivehybridselfadaptingdifferentialevolutionalgorithmforthejointreplenishmentandlocationinventoryprobleminathreelevelsupplychain