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Performance of multi-threaded parallelism using OpenMP is first tested with different scheduling methods and different number of threads. Both methods are then parallelized using several parallel paradigms. At node level, pure OpenMP outperforms pure MPI by a factor of 2.76 for vacancy tracking method. Across entire cluster of SMP nodes, by carefully choosing thread numbers, the hybrid MPI/OpenMP implementation outperforms pure MPI by a factor of 3.79 for traditional method and 4.44 for vacancy tracking method, demonstrating the validity of the parallel paradigm of mixing MPI with OpenMP.