Abstract: This paper will consider the problem of sequential
mining patterns embedded in a database by handling the time
constraints as defined in the GSP algorithm (level wise algorithms).
We will compare two previous approaches GTC and PSP, that
resumes the general principles of GSP. Furthermore this paper will
discuss PG-hybrid algorithm, that using PSP and GTC. The results
show that PSP and GTC are more efficient than GSP. On the other
hand, the GTC algorithm performs better than PSP. The PG-hybrid
algorithm use PSP algorithm for the two first passes on the database,
and GTC approach for the following scans. Experiments show that
the hybrid approach is very efficient for short, frequent sequences.