A multi-period, multi-product closed-loop supply chain network design: integrated economic and environmental optimization
Submitted: 2025-12-08
|Accepted: 2026-01-28
|Published: 2026-01-31
Copyright (c) 2026 Mahdi Nakhaeinejad
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
Closed-loop supply chain, multi-period planning, environmental performance, clean technology, multi-objective optimization
Supporting agencies:
Abstract:
This study proposes a novel multi-period, multi-product, and multi-echelon closed-loop supply chain (CLSC) model that simultaneously addresses economic and environmental objectives under dynamic demand and return conditions. Formulated as a mixed-integer linear programming (MILP) model, the framework incorporates key operational decisions including facility location, production planning, inventory control, recovery, and disposal while integrating sustainability factors such as the use of clean technologies and environmentally friendly materials. A weighted sum approach is applied to generate Pareto-optimal solutions, enabling decision-makers to explore trade-offs between cost minimization and environmental performance. The model is validated through a numerical example, and a detailed sensitivity analysis is conducted to assess the impact of critical parameters on supply chain behavior. The results reveal that while sustainability initiatives may increase operational costs, strategic planning and capacity optimization can achieve effective cost-environment trade-offs. The proposed model offers a comprehensive and practical decision-support tool for designing efficient and sustainable CLSC systems, contributing to both academic research and real-world supply chain practice.
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