Priority retrial queueing model operating in random environment with varying number and reservation of servers

2015 ◽  
Vol 269 ◽  
pp. 674-690 ◽  
Author(s):  
Alexander Dudin ◽  
Chesoong Kim ◽  
Sergey Dudin ◽  
Olga Dudina
Keyword(s):  
Random Environment ◽  
Queueing Model ◽  
Retrial Queueing

On the null ergodicity bounds for a retrial queueing model

2017 ◽  
Author(s):  
Ksenia Kiseleva ◽  
Yacov Satin ◽  
Anna Korotysheva ◽  
Alexander Zeifma ◽  
Victor Korolev ◽  
...  
Keyword(s):  
Queueing Model ◽  
Retrial Queueing

The retrial queueing system operating in random environment

2007 ◽  
Vol 137 (12) ◽  
pp. 3904-3916 ◽  
Author(s):  
Che Soong Kim ◽  
Valentina Klimenok ◽  
Sang Cheon Lee ◽  
Alexander Dudin
Keyword(s):  
Random Environment ◽  
Queueing System ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
System Operating

Mô hình hàng đợi retrial cho đường trễ quang FDL tại nút lõi OBS xét chất lượng dịch vụ QoS

2019 ◽  
Vol 127 (2A) ◽  
pp. 131-146
Author(s):  
Đặng Thanh Chương ◽  
Phạm Trung Đức
Keyword(s):  
Blocking Probability ◽  
Queueing Model ◽  
Analysis Method ◽  
Transport Networks ◽  
Burst Switching ◽  
Core Node ◽  
Optical Burst Switching Networks ◽  
Retrial Queueing ◽  
Node Architecture ◽  
Analysis Models

Optical Burst Switching networks are considered as an important candidate for future transport networks. Many analysis models of the OBS core node with FDLs have been proposed recently. Our paper proposes a novel retrial queueing model at OBS core node architecture SPL - feed-forward with QoS. Blocking probability will be calculated based on Markov multi-dimensional models. Numerical results from the proposed analysis method are compared with simulation, as well as between these model.

scholarly journals Performance Analysis of Retrial Queueing Model with Working Vacation, Interruption, Waiting Server, Breakdown and Repair

2021 ◽  
Vol 13 (3) ◽  
pp. 833-844
Author(s):  
P. Gupta ◽  
N. Kumar
Keyword(s):  
Cost Optimization ◽  
Probability Generating Function ◽  
Function Technique ◽  
Service Rate ◽  
Queueing Model ◽  
Working Vacation ◽  
Retrial Queueing ◽  
Server Breakdown ◽  
Vacation Interruption ◽  
Vacation Period

In this present paper, an M/M/1 retrial queueing model with a waiting server subject to breakdown and repair under working vacation, vacation interruption is considered. Customers are served at a slow rate during the working vacation period, and the server may undergo breakdowns from a normal busy state. The customer has to wait in orbit for the service until the server gets repaired. Steady-state solutions are obtained using the probability generating function technique. Probabilities of different server states and some other performance measures of the system are developed.  The variation in mean orbit size, availability of the server, and server state probabilities are plotted for different values of breakdown parameter and repair rate with the help of MATLAB software. Finally, cost optimization of the system is also discussed, and the optimal value of the slow service rate for the model is obtained.

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