Shoukry, E., Talat, N., Amin, E. (2001). Waiting Time Distribution and Some Characteristics in Finite Queueing Systems with Retrials. test, 45(1), 73-89. doi: 10.21608/esju.2001.313805
Elham Shoukry; Nadia Wagih Talat; Esam A. Amin. "Waiting Time Distribution and Some Characteristics in Finite Queueing Systems with Retrials". test, 45, 1, 2001, 73-89. doi: 10.21608/esju.2001.313805
Shoukry, E., Talat, N., Amin, E. (2001). 'Waiting Time Distribution and Some Characteristics in Finite Queueing Systems with Retrials', test, 45(1), pp. 73-89. doi: 10.21608/esju.2001.313805
Shoukry, E., Talat, N., Amin, E. Waiting Time Distribution and Some Characteristics in Finite Queueing Systems with Retrials. test, 2001; 45(1): 73-89. doi: 10.21608/esju.2001.313805

Waiting Time Distribution and Some Characteristics in Finite Queueing Systems with Retrials

The Egyptian Statistical Journal
Article 7, Volume 45, Issue 1, June 2001, Pages 73-89    PDF (7.56 M)
Document Type: Original Article
DOI: 10.21608/esju.2001.313805
Authors
Elham Shoukry* 1; Nadia Wagih Talat* 2; Esam A. Amin*
1Institute of Statistical Studies & Research
2Institute of Statistical Studies & Research , Cairo University
Abstract
A retrial queueing system consists of a primary service facility of finite capacity and an orbit. Customers arrive from outside the system according to Poisson process, or from the orbit according to a rate that depends upon the number of customers in the orbit. The approximated steady state probabilities are obtained for any queueing size by assuming that the retrial customers see time averages. The waiting time distribution is extracted for the customers in orbit if only one retrial is permitted.
 
Keywords
Retrial Queue - Approximated Steady State Probabilities; Waiting Time Distribution
Statistics
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