Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines
Shoukry, E., Talat, N., Amin, E. (2001). Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines. EKB Journal Management System, 45(1), 41-53. doi: 10.21608/esju.2001.313802
Elham Shoukry; Nadia Wagieh Talat; Essam A. Amin. "Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines". EKB Journal Management System, 45, 1, 2001, 41-53. doi: 10.21608/esju.2001.313802
Shoukry, E., Talat, N., Amin, E. (2001). 'Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines', EKB Journal Management System, 45(1), pp. 41-53. doi: 10.21608/esju.2001.313802
Shoukry, E., Talat, N., Amin, E. Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines. EKB Journal Management System, 2001; 45(1): 41-53. doi: 10.21608/esju.2001.313802

Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines

The Egyptian Statistical Journal
Article 4, Volume 45, Issue 1, June 2001, Page 41-53  XML PDF (7.66 MB)
Document Type: Original Article
DOI: 10.21608/esju.2001.313802
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Authors
Elham Shoukry* ; Nadia Wagieh Talat* ; Essam A. Amin email
Institute of Statistical Studies & Research, Cairo University
Abstract
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.
 
Keywords
M/M/1 Queue; Waiting Time Distribution; Random Order Service Discipline; Little's Law; Coefficient of Determination
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