An accelerated benders decomposition algorithm for a bi-objective green closed loop supply chain network design problem

Ehsan Mardan, Kannan Govindan*, Hassan Mina, Seyed Mohammad Gholami-Zanjani

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Resumé

Recently, social awareness, governmental legislations and competitive business environment have spurred researchers to pay much attention to closed-loop supply chain network design. In order to support the arising trend, this paper presents a comprehensive mathematical model for a multi-period, multi-product, multi-modal and bi-objective green closed-loop supply chain. The objective of the model is to minimize the total cost and environmental emissions through making the best decisions on facility location, transportation amounts and inventory balances. According to the inherent complexity of the problem and considering multi-product, multi-period and multi- modality assumptions makes it hard to handle, and as for the solution approach, an effective accelerated benders decomposition algorithm is implemented. Then, computational results for a set of numerical example are discussed. Besides, the model and solution approach are applied on a wire-and-cable industry. Then, a sensitivity analysis is implemented in an effort to validate the model. Results reveal applicability of the proposed mathematical model and presented solution approach. Following the obtained results, it can be validly concluded that the suggested solution approach leads to more than 13 percent reduction in total cost for the studied case, and can be even employed for larger and more complex real-world industrial applications.

OriginalsprogEngelsk
TidsskriftJournal of Cleaner Production
Vol/bind235
Sider (fra-til)1499-1514
ISSN0959-6526
DOI
StatusUdgivet - 20. okt. 2019

Fingeraftryk

network design
Supply chains
decomposition
Decomposition
Mathematical models
facility location
Sensitivity analysis
Industrial applications
Costs
Industry
Cables
cost
cable
Wire
sensitivity analysis
legislation
Network design
Supply chain network
Closed-loop supply chain
Benders decomposition

Citer dette

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title = "An accelerated benders decomposition algorithm for a bi-objective green closed loop supply chain network design problem",
abstract = "Recently, social awareness, governmental legislations and competitive business environment have spurred researchers to pay much attention to closed-loop supply chain network design. In order to support the arising trend, this paper presents a comprehensive mathematical model for a multi-period, multi-product, multi-modal and bi-objective green closed-loop supply chain. The objective of the model is to minimize the total cost and environmental emissions through making the best decisions on facility location, transportation amounts and inventory balances. According to the inherent complexity of the problem and considering multi-product, multi-period and multi- modality assumptions makes it hard to handle, and as for the solution approach, an effective accelerated benders decomposition algorithm is implemented. Then, computational results for a set of numerical example are discussed. Besides, the model and solution approach are applied on a wire-and-cable industry. Then, a sensitivity analysis is implemented in an effort to validate the model. Results reveal applicability of the proposed mathematical model and presented solution approach. Following the obtained results, it can be validly concluded that the suggested solution approach leads to more than 13 percent reduction in total cost for the studied case, and can be even employed for larger and more complex real-world industrial applications.",
keywords = "Benders decomposition algorithm, Closed-loop supply chain, Green networks, Multi-objective optimization, Network design",
author = "Ehsan Mardan and Kannan Govindan and Hassan Mina and Gholami-Zanjani, {Seyed Mohammad}",
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An accelerated benders decomposition algorithm for a bi-objective green closed loop supply chain network design problem. / Mardan, Ehsan; Govindan, Kannan; Mina, Hassan; Gholami-Zanjani, Seyed Mohammad.

I: Journal of Cleaner Production, Bind 235, 20.10.2019, s. 1499-1514.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - An accelerated benders decomposition algorithm for a bi-objective green closed loop supply chain network design problem

AU - Mardan, Ehsan

AU - Govindan, Kannan

AU - Mina, Hassan

AU - Gholami-Zanjani, Seyed Mohammad

PY - 2019/10/20

Y1 - 2019/10/20

N2 - Recently, social awareness, governmental legislations and competitive business environment have spurred researchers to pay much attention to closed-loop supply chain network design. In order to support the arising trend, this paper presents a comprehensive mathematical model for a multi-period, multi-product, multi-modal and bi-objective green closed-loop supply chain. The objective of the model is to minimize the total cost and environmental emissions through making the best decisions on facility location, transportation amounts and inventory balances. According to the inherent complexity of the problem and considering multi-product, multi-period and multi- modality assumptions makes it hard to handle, and as for the solution approach, an effective accelerated benders decomposition algorithm is implemented. Then, computational results for a set of numerical example are discussed. Besides, the model and solution approach are applied on a wire-and-cable industry. Then, a sensitivity analysis is implemented in an effort to validate the model. Results reveal applicability of the proposed mathematical model and presented solution approach. Following the obtained results, it can be validly concluded that the suggested solution approach leads to more than 13 percent reduction in total cost for the studied case, and can be even employed for larger and more complex real-world industrial applications.

AB - Recently, social awareness, governmental legislations and competitive business environment have spurred researchers to pay much attention to closed-loop supply chain network design. In order to support the arising trend, this paper presents a comprehensive mathematical model for a multi-period, multi-product, multi-modal and bi-objective green closed-loop supply chain. The objective of the model is to minimize the total cost and environmental emissions through making the best decisions on facility location, transportation amounts and inventory balances. According to the inherent complexity of the problem and considering multi-product, multi-period and multi- modality assumptions makes it hard to handle, and as for the solution approach, an effective accelerated benders decomposition algorithm is implemented. Then, computational results for a set of numerical example are discussed. Besides, the model and solution approach are applied on a wire-and-cable industry. Then, a sensitivity analysis is implemented in an effort to validate the model. Results reveal applicability of the proposed mathematical model and presented solution approach. Following the obtained results, it can be validly concluded that the suggested solution approach leads to more than 13 percent reduction in total cost for the studied case, and can be even employed for larger and more complex real-world industrial applications.

KW - Benders decomposition algorithm

KW - Closed-loop supply chain

KW - Green networks

KW - Multi-objective optimization

KW - Network design

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DO - 10.1016/j.jclepro.2019.06.187

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JO - Journal of Cleaner Production

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