Bi-objective mathematical modeling for the design of closed-loop resilient supply chain networks

Subject Areas :

Maryam Bahadoran ¹ , Mehdi Fadaei Eshkiki ² , Mohamad Taleghani ³ , Mahdi Homayounfar ⁴

1 - Department of Industrial Management, Rasht Branch, Islamic Azad University, Rasht, Iran
2 - Department of Industrial Management, Rasht Branch, Islamic Azad University, Rasht, Iran
3 - Department of Industrial Management, Rasht Branch, Islamic Azad University, Rasht, Iran
4 - Department of Industrial Management, Rasht Branch, Islamic Azad University, Rasht, Iran

Received: 2024-10-02 Accepted : 2024-12-19 Published : 2024-12-29

Keywords: Supply chain, closed loop, resilience, multi-objective optimization,

Abstract :

In the closed loop supply chain, in addition to the normal flow of goods that is transferred from the supplier to the final consumers, attention is also paid to the reverse flow of products for recycling, restoration or destruction. In this research, a resilient closed loop supply chain network has been designed under the conditions of possible risks and disruptions at the levels of producers, distributors and customers. The proposed model is able to simultaneously maximize the number of nodes and minimize the total cost. The multi-objective optimization problem has been solved using the comprehensive criterion method for P = 1 and P = 2. Based on the obtained results, the proposed model is able to determine the amount of products produced, the amount of high-capacity products, the route of product transfer, the amount of flow of products in each route and the amount of objective functions. Finally, a sensitivity analysis has been carried out on the parameters of the failure probability in the node and path. According to the results of sensitivity analysis, it has been observed that if the occurrence of failure in each path is reduced, the greatest improvement in the second objective function is achieved.

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