For full checkpoint on a large-scale HPC system, huge memory contexts must potentially be transferred through the network and saved in a reliable storage. As such, the time taken to checkpoint becomes a critical issue which directly impacts the total execution time. Therefore, incremental checkpoint as a less intrusive method to reduce the waste time has been gaining significant attentions in the HPC community. In this paper, we built a model that aims to reduce full checkpoint overhead by performing a set of incremental checkpoints between two consecutive full checkpoints. Moreover, a method to find the number of those incremental checkpoints is given. Furthermore, most of the comparison results between the incremental checkpoint model and the full checkpoint model [19] on the same failure data set show that the total waste time in the incremental checkpoint model is significantly smaller than the waste time in the full checkpoint model.