In this paper, a closed-loop supply chain network design problem with multiple recovery options is studied. The problem is modeled as a Mixed Integer Linear Program (MILP). Then, a sensitivity analysis is carried out in order to investigate the impact of variations of the customer return rates, revenues, costs as well as the proportions of returns assigned to each recovery option, on the network structure and profit. A stochastic version of the model is also developed to account for the high uncertainties faced by companies. The computational results show that the solution of the stochastic problem is stable and that the benefit from using stochastic modeling increases when the penalty over non collected returns increase