Author(s)

Mahmoud Ragab¹, Beih El-Sayed El-Desouky², Nora Nader²

¹Department of Mathematics, Faculty of Science, Al Azhar University, Cairo, Egypt.
²Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

In this paper, we study a new version from Dual-pivot Quicksort algorithm when we have some other number of pivots. Hence, we discuss the idea of picking pivots  by random way and splitting the list simultaneously according to these. The modified version generalizes these results for multi process. We show that the average number of swaps done by Multi-pivot Quicksort process and we present a special case. Moreover, we obtain a relationship between the average number of swaps of Multi-pivot Quicksort and Stirling numbers of the first kind.

Quicksort, Convergence, Multi-Pivot Quicksort Process, Stirling Number of the First Kind

Ragab, M. , El-Desouky, B. and Nader, N. (2017) Analysis of the Multi-Pivot Quicksort Process. Open Journal of Modelling and Simulation, 5, 47-58. doi: 10.4236/ojmsi.2017.51004.