Asymptotic Analysis of Retrial Queueing System M/GI/1 with Collisions and Impatient Calls

2019 ◽  
pp. 230-242 ◽  
Author(s):  
Elena Danilyuk ◽  
Svetlana Moiseeva ◽  
Anatoly Nazarov
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
Retrial Queueing System ◽  
Retrial Queueing

scholarly journals Asymptotic Analysis of Retrial Queueing System M/M/1 with Impatient Customers, Collisions and Unreliable Server

2020 ◽  
pp. 218-230 ◽  
Author(s):  
Elena Yu. Danilyuk ◽  
Svetlana P. Moiseeva ◽  
Janos Sztrik
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
Analysis Method ◽  
Impatient Customers ◽  
Heavy Load ◽  
Gaussian Form ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
Long Time ◽  
Number Of Customers

The retrial queueing system of M=M=1 type with Poisson flow of arrivals, impatient cus- tomers, collisions and unreliable service device is considered in the paper. The novelty of our contribution is the inclusion of breakdowns and repairs of the service into our previous study to make the problem more realistic and hence more complicated. Retrial time of customers in the orbit, service time, impa- tience time of customers in the orbit, server lifetime (depending on whether it is idle or busy) and server recovery time are supposed to be exponentially distributed. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. The heavy load of the system and long time patience of customers in the orbit are proposed as asymptotic conditions. Theorem about the Gaussian form of the asymptotic probability distribution of the number of customers in the orbit is formulated and proved. Numerical examples are given to show the accuracy and the area of feasibility of the proposed method

Asymptotic Analysis of an Retrial Queueing System M|M|1 with Collisions and Impatient Calls

2018 ◽  
Vol 79 (12) ◽  
pp. 2136-2146 ◽  
Author(s):  
E. Yu. Danilyuk ◽  
E. A. Fedorova ◽  
S. P. Moiseeva
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
Retrial Queueing System ◽  
Retrial Queueing

Call Center as Retrial Queueing System

2007 ◽  
Vol 39 (5) ◽  
pp. 37-47 ◽  
Author(s):  
Elena V. Koba ◽  
Svetlana V. Pustovaya
Keyword(s):  
Call Center ◽  
Queueing System ◽  
Retrial Queueing System ◽  
Retrial Queueing
Sign in / Sign up

Export Citation Format

Share Document