Keywords = Closed-loop supply chain
Digital Transformation and Industry 4.0 in Quality Management

Optimization of a closed-loop viable supply chain network under hybrid uncertainty

Volume 16, Issue 1, Spring 2026, Pages 39-62

https://doi.org/10.48313/jqem.2026.564808.1595

Fariborz Kalashi, Iraj Mahdavi, Ali Tajdin, Javad Rezaeian

Abstract Purpose: This study aims to develop a durable closed-loop supply chain network capable of simultaneously addressing sustainability, resilience, agility, and digitalization while incorporating fuzzy–stochastic uncertainties. The significance of this research lies in the limitations of traditional supply chains, which often fail to perform effectively under severe environmental fluctuations, operational disruptions, and demand variability, thereby highlighting the need for intelligent and multidimensional decision-making frameworks.
Methodology: To achieve the research objectives, a structured three-phase framework was designed. In the first phase, demand subject to considerable uncertainty was forecast using the SARIMA time-series model to capture market volatility and seasonal patterns. In the second phase, supplier evaluation criteria were identified through a systematic literature review and expert judgment, and subsequently weighted via the Stochastic–Fuzzy Best–Worst Method (SFBWM). Supplier ranking was then performed using the Stochastic–Fuzzy TOPSIS (SFTOPSIS) technique. In the final phase, a multi-objective fuzzy–stochastic mathematical model was developed to design and optimize the supply chain network, while fuzzy–stochastic robust optimization was employed to address data uncertainty. The multi-objective problem was solved using a modified version of the Lexicographic–Chebyshev Multi-Choice Goal Programming Method (LCRMCGP).
Findings: A case study conducted in “Ebtakar Tajhiz Teb Yekta,” a company operating in the medical equipment industry, demonstrated that the proposed model effectively supports key strategic decisions, including the selection of primary and backup suppliers, the optimal location of collection and recycling centers, excess capacity allocation, and the choice of information-exchange technologies (traditional systems vs. blockchain-based platforms). The integration of IoT and blockchain technologies increased product return rates, reduced recycling costs, and enhanced transparency and sustainability across the network. Overall, the results confirm that the proposed framework can successfully balance economic, environmental, and social objectives while improving flexibility and resilience under uncertainty.
Originality/Value: The novelty of the present study lies in developing an integrated framework for designing a viable closed-loop supply chain under hybrid fuzzy–stochastic uncertainty. Unlike previous studies that mainly focused on isolated dimensions of supply chain management, this research simultaneously incorporates sustainability, resilience, agility, and digitalization within a multi-objective optimization model. Furthermore, the integration of SARIMA, SFBWM, SFTOPSIS, and LCRMCGP methods provides a more accurate and comprehensive decision-making process. Comparative results also demonstrate that the proposed model outperforms conventional approaches in reducing deviations, improving decision consistency, and enhancing overall network sustainability.

Developing a multi-objective mathematical model of green closed-loop supply chain In terms of selling returned products using the Epsilon-constraint method approach

Volume 11, Issue 4, Winter 2022, Pages 351-376

https://doi.org/10.48313/jqem.2022.155153

Ehsan Fallahiarezoudar, Fatemeh Alami, Mohaddeseh Ahmadipourroudposht

Abstract Currently, rapid economic change and increasing competitive market pressure are pushing organizations to focus on making supply chain operations more efficient and effective. Proper design and efficiency of logistics networks as part of supply chain planning, in addition to creating a sustainable competitive advantage, increases customer satisfaction and provides the opportunity to meet their needs, which is why the decisions related to the design of these networks are of great importance. Enjoy. Therefore, in this study, the design of a closed-loop logistics network to reduce pollution and environmental pollution using the Bertsimas and wire stabilization method was presented. The mathematical model to be presented in this research was presented by considering the objectives of minimizing transportation costs, minimizing the time of receiving raw materials from the supplier and minimizing the time of product return from the customer to the separation center. Due to the strategic nature of the closed-loop supply chain, which with the approximate solution space causes a lot of costs to be delivered to the system to increase the accuracy of the answers of the mathematical model and application of this goal in this study It is used to reduce the computational time of the model, the results obtained with high accuracy. On the other hand, because the operational logic of solving Lagrange release is based on a single-objective model, first multi-objective mathematical model with Augmented Epsilon-Constraint The target was converted and then the Lagrange release algorithm was implemented on it.

Closed loop supply chain network design under disturbance and uncertainty conditions considering quality and resilience strategy

Volume 6, Issue 2, Summer 2016, Pages 133-145

Morteza Ghomi, Sayed Gholamreza jalalinaeeni, Reza tavakoli moghadam, Armin jabbarzadeh

Abstract In recent years, due to increasing environmental concerns, government regulations and natural resource constraints, and the impact of green laws, the closed-loop supply chain has attracted increasing attention. Since the supplier has an important role in the supply chain, if faced with risk and disruption, it will have detrimental and important effects on the supply chain, so it seems necessary to study these conditions. Therefore, in this paper, the issue of closed-loop supply chain network design in supply risk conditions is investigated. In addition to disruption of supply, factors such as the use of excess inventory as well as contracts with reliable suppliers in periods that we have not disrupted are considered flexibility strategies in this article. The goal is to minimize chain costs with respect to location decisions, flow between levels, and lost sales. Disruption in suppliers is considered in different scenarios and in detail. The problem is modeled using mixed integer programming and a possible two-step approach is used to consider the uncertainties in the proposed model. At the end, sensitivity analysis is performed on the proposed model and suggestions are provided for using this model in the real world.