Multi-objective mixed integer programming modelling for closed-loop supply chain network design: an enhanced Benders decomposition algorithm

Considering a closed-loop supply chain (CLSC) network with uncertain demand and recycling rates, this article innovatively designs a multi-objective mixed-integer programming model that incorporates corporate social responsibility (CSR), a facility retrofit strategy (FRS), a flexible supply strategy...

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Bibliographic Details
Published in:Engineering optimization Vol. 56; no. 12; pp. 2478 - 2521
Main Authors: Liu, Chang, Ji, Ying, Wahab, M. I. M., Peng, Zhisheng, Li, Xinqi, Qu, Shaojian
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 01.12.2024
Taylor & Francis Ltd
Subjects:
Algorithms
Benders decomposition
Closed loops
Closed-loop supply chain
corporate social responsibility
Design
enhanced Benders decomposition
Impact analysis
Integer programming
Mixed integer
Multiple objective analysis
Network design
practical relevance characteristics
Retrofitting
Robustness (mathematics)
Social responsibility
Supply chains
Uncertainty analysis
uncertainty environment
ISSN:0305-215X, 1029-0273
Online Access:Get full text
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Summary:Considering a closed-loop supply chain (CLSC) network with uncertain demand and recycling rates, this article innovatively designs a multi-objective mixed-integer programming model that incorporates corporate social responsibility (CSR), a facility retrofit strategy (FRS), a flexible supply strategy (FSS) and a vehicle selection strategy (VSS). Then, robust optimization methods are applied to construct robust models under three situations of uncertainty. For the computational complexity of large-scale problems, an enhanced Benders decomposition algorithm (EBDA) is designed. A numerical case analysis is conducted using five different scale instances. First, compared to other algorithms, EBDA accelerates the solution efficiency while ensuring convergence. Secondly, the sensitivity of the objective weights and the trade-offs of multiple objectives are analysed. Finally, the impact is analysed of the uncertain environment, CSR, an FRS, an FSS and a VSS on the CLSC network. Decision makers need to balance three objectives to manage CLSC and use these strategies appropriately to address the negative impact of an uncertain environment.
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ISSN:0305-215X
1029-0273
DOI:10.1080/0305215X.2024.2312956