scholarly journals Retrial queueing model with two heterogeneous server using matrix geometric method

2021 ◽  
Vol 1070 (1) ◽  
pp. 012028
Author(s):  
M Seenivasan ◽  
G Rajarajan ◽  
M Indumathi
Keyword(s):  
Geometric Method ◽  
Queueing Model ◽  
Retrial Queueing ◽  
Matrix Geometric Method

scholarly journals Queues with two units connected in series with a multiserver bulk service with accessible and non accessible batch in unit II

2014 ◽  
Vol 4 (1) ◽  
Author(s):  
G. Ayyappan ◽  
S. Velmurugan
Keyword(s):  
Service Time ◽  
Subject Classification ◽  
Geometric Method ◽  
Finite Buffer ◽  
Queueing Model ◽  
Service Station ◽  
Matrix Geometric Method ◽  
In Series ◽  
Bulk Service ◽  
Number Of Customers

This paper analyses a queueing model consisting of two units I and II connected in series, separated by a finite buffer of size N. Unit I has only one exponential server capable of serving customers one at a time. Unit II consists of c parallel exponential servers and they serve customers in groups according to the bulk service rule. This rule admits each batch served to have not less than ‘a’ and not more than ‘b’ customers such that the arriving customers can enter service station without affecting the service time if the size of the batch being served is less than ‘d’ ( a ≤ d ≤ b ). The steady stateprobability vector of the number of customers waiting and receiving service in unit I and waiting in the buffer is obtained using the modified matrix-geometric method. Numerical results are also presented. AMS Subject Classification number: 60k25 and 65k30

scholarly journals Batch Arrival Queueing Model with Unreliable Server

2018 ◽  
Vol 7 (4.10) ◽  
pp. 269 ◽  
Author(s):  
M. Seenivasan ◽  
K. S.Subasri
Keyword(s):  
Queue Length ◽  
Queuing System ◽  
Subject Classification ◽  
Geometric Method ◽  
Batch Arrival ◽  
Queueing Model ◽  
Unreliable Server ◽  
Matrix Geometric Method

The unreliable server with provision of temporary server in the context of application has been investigated. A temporary server is installed when the primary server is over loaded i.e., a fixed queue length of K-policy customers including the customer with the primary server has been build up. The primary server may breakdown while rendering service to the customers; it is sent for the repair. This type of queuing system has been investigated using Matrix Geometric Method to obtain the probabilities of the system steady state.AMS subject classification number— 60K25, 60K30 and 90B22.  

scholarly journals Fluid Queue Driven by anM/M/1Queue Subject to Bernoulli-Schedule-Controlled Vacation and Vacation Interruption

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Kolinjivadi Viswanathan Vijayashree ◽  
Atlimuthu Anjuka
Keyword(s):  
Death Process ◽  
Queueing Model ◽  
Fluid Queue ◽  
Stationary Analysis ◽  
Governing System ◽  
Matrix Geometric Method ◽  
Vacation Interruption ◽  
Model Subject ◽  
Steady State Probabilities ◽  
Bernoulli Schedule

This paper deals with the stationary analysis of a fluid queue driven by anM/M/1queueing model subject to Bernoulli-Schedule-Controlled Vacation and Vacation Interruption. The model under consideration can be viewed as a quasi-birth and death process. The governing system of differential difference equations is solved using matrix-geometric method in the Laplacian domain. The resulting solutions are then inverted to obtain an explicit expression for the joint steady state probabilities of the content of the buffer and the state of the background queueing model. Numerical illustrations are added to depict the convergence of the stationary buffer content distribution to one subject to suitable stability conditions.

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

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

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.

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