The waiting time distribution for the M/M/1 queue with random order service discipline is considered. The results of FLATTO to compare the waiting time distribution for the random order service and the first in first out discipline are used. An algorithm is designed and executed to fit a curve in order to obtain a formula for the intersection point of the two waiting time distributions subject to random order discipline and first in, first out discipline, as a function of traffic intensity only.
Shoukry, E., Talat, N., & Amin, E. (2001). Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines. The Egyptian Statistical Journal, 45(1), 41-53. doi: 10.21608/esju.2001.313802
MLA
Elham Shoukry; Nadia Wagieh Talat; Essam A. Amin. "Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines", The Egyptian Statistical Journal, 45, 1, 2001, 41-53. doi: 10.21608/esju.2001.313802
HARVARD
Shoukry, E., Talat, N., Amin, E. (2001). 'Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines', The Egyptian Statistical Journal, 45(1), pp. 41-53. doi: 10.21608/esju.2001.313802
VANCOUVER
Shoukry, E., Talat, N., Amin, E. Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines. The Egyptian Statistical Journal, 2001; 45(1): 41-53. doi: 10.21608/esju.2001.313802