Robust optimization of risk-aware, resilient and sustainable closed-loop supply chain network design with Lagrange relaxation and fix-and-optimize

Date

2021-12-01

Author

Lotfi, Reza
Sheikhi, Zohre
Amra, Mohsen
AliBakhshi, Mehdi
Weber, Gerhard Wilhelm

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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This study explores a Robust, Risk-aware, Resilient, and Sustainable Closed-Loop Supply Chain Network Design (3RSCLSCND) to tackle demand fluctuation like COVID-19 pandemic. A two-stage robust stochastic multiobjective programming model serves to express the proposed problems in formulae. The objective functions include minimising costs, CO2 emissions, energy consumption, and maximising employment by applying Conditional Value at Risk (CVaR) to achieve reliability through risk reduction. The Entropic Value at Risk (EVaR) and Minimax method are used to compare with the proposed model. We utilise the Lp-Metric method to solve the multiobjective problem. Since this model is complex, the Lagrange relaxation and Fix-and-Optimise algorithm are applied to find lower and upper bounds in large-scale, respectively. The results confirm the superior power of the model offered in estimating costs, energy consumption, environmental pollution, and employment level. This model and algorithms are applicable for other CLSC problems.

Subject Keywords

Closed-loop supply chain, sustainability, resiliency, risk, Lagrangian relaxation, fix-and-optimize, BENDERS DECOMPOSITION ALGORITHM, EPSILON-CONSTRAINT METHOD, FACILITY LOCATION, DISRUPTION, UNCERTAINTY, MANAGEMENT, GREEN, MODEL, ENERGY

URI

https://hdl.handle.net/11511/96037

Journal

INTERNATIONAL JOURNAL OF LOGISTICS-RESEARCH AND APPLICATIONS

DOI

https://doi.org/10.1080/13675567.2021.2017418

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

R. Lotfi, Z. Sheikhi, M. Amra, M. AliBakhshi, and G. W. Weber, “Robust optimization of risk-aware, resilient and sustainable closed-loop supply chain network design with Lagrange relaxation and fix-and-optimize,” INTERNATIONAL JOURNAL OF LOGISTICS-RESEARCH AND APPLICATIONS, pp. 0–0, 2021, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/96037.