Design of a dynamic closed-loop supply chain network using fuzzy bi-objective linear programming approach

A multi-period, multi-product, multi-echelon, bi-objective, and dynamic closed-loop supply chain network model with fuzzy parameters is put forward in this article. In order to make the model realistic, the uncertainties of capacity, demand, and price are integrated into the model. Thus, a fuzzy bi-objective mixed integer model is developed to maximize the total profit and minimize the wastes of facilities. To deal with the proposed model, a solution method is put forward by incorporating four methods. Computational experiments demonstrate that the proposed hybrid method can find efficient solutions based on CLSC network managers’ risk preferences. And the proposed models and methods in this paper have important managerial implications for decision-makers.