An Optimization Model for Multi-objective Closed-loop Supply Chain Network under uncertainty: A Hybrid Fuzzy-stochastic Programming Method

In this research, we address the application of uncertaintyprogramming to design a multi-site, multi-product, multi-period,closed-loop supply chain (CLSC) network. In order to make theresults of this article more realistic, a CLSC for a case study inthe iron and steel industry has been explored. The presentedsupply chain covers three objective functions: maximization ofprofit, minimization of new products' delivery time, collectiontime and disposal time of used products, and maximizingflexibility. To solve the proposed model, an interactive hybridsolution methodology is adopted through combining a hybridfuzzy-stochastic programming method and a fuzzy multi-objectiveapproach. Finally, the numerical experiments are given todemonstrate the significance of the proposed model and thesolution approach.