This study discusses SCM (Supply Chain Management) models with various quantity discounts and reverse logistics. The formulated SCM model considering various quantity discount functions and reverse logistics is a nonlinear model and can not be solved to obtain a global solution effectively. Therefore, this study utilizes an efficient global optimization approach to solve the SCM models for finding a global optimum. Comparing with current methods, the presented method uses fewer binary variables and constraints and is more computational efficient. To illustrate the capability of the proposed SCM model, some numerical examples are also presented. The analyzed results demonstrate that various quantity discount policies and reverse logistics will affect the activities of the SCM models.