In case of fire, the smoke plum will reach the roof creating a ceiling jet leading to the edge and starting to descend. The smoke descending rate depends heavily on the smoke production rate and the way it was produced. Recent research has been concentrated on the smoke produced in an axi-symmetric plume model, but rarely on wall or corner plume models. In addition, the smoke production rate was estimated based on different fire sizes, which neglected the effect introduced by the make-up air, and is the main theme of this study. During the earlier stage of this study, the calculation models to predict the smoke entrainment rate was analyzed to identify its effectiveness in calculating the smoke production rate under cornered fires. In addition, the effect of the make-up air on the mechanical and natural smoke exhaust system was analyzed to calculate the corresponding smoke descending rate. Finally, the optimal calculation model to be utilized for the performance-based fire engineering designs of smoke management systems will be proposed, so that the make-up air effect can also be coupled during the design process.