Mathematical Modeling of Sustainable Supply Chain Networks under Uncertainty and Solving It Using Metaheuristic Algorithms

Document Type : Research Paper


1 Assistant Prof., Department of Industrial and Financial Management, Faculty of Management and Accounting, Farabi Campus, University of Tehran, Qom, Iran.

2 Department of Industrial Management, Faculty of Social Sciences, Imam Khomeini International University (IKIU), Qazvin, Iran.

3 M.S. Student, Department of Industrial Management, Faculty of Management and Accounting, Farabi Campus, University of Tehran, Qom, Iran.


Objective: In recent years, global concerns about environmental and social issues have made consumers, government organizations, companies and universities more active, and their focus has increasingly been on the design of the supply chain network as the most important part of the supply chain. The main objective of this paper is to present a supply chain modeling model for Hamadan Glass Manufacturing Company considering the dimensions of sustainability.
Methods: In this paper, a Fuzzy Multi-objective Mixed Integral Programming is presented to design a closed loop supply chain under uncertainty conditions in order to minimize environmental impacts and maximize social impacts and economic benefits. In this model, both the constraints and the parameters of the problem are fuzzy, which is determined by the Jimenez method, and the algorithms of NSGA-II and MOPSO have been used to solve the model.
Results: The proposed model was solved with two multi-objective genetic algorithms and multi-objective particle swarm optimization, and the necessary comparisons were made between the results. Finally, Pareto's solutions were determined. According to the results, the two algorithms differ in the time criterion that the NSGA-II is superior to MOPSO. Also, there are two different algorithms in the MID standard that MOPSO excels over NSGA-II and does not have any significant superiority over the remaining criteria.
Conclusion: Based on the results of the research, simultaneous consideration of economic, environmental and social dimensions and uncertainty in some parameters such as demand and returns lead to improved supply chain performance in terms of profitability and customer satisfaction.


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