Delay Optimal Scheduling for Cognitive Radios with Cooperative Beamforming: A Structured Matrix-Geometric Method

2012 ◽  
Vol 11 (8) ◽  
pp. 1412-1423 ◽  
Author(s):  
Juan Liu ◽  
Wei Chen ◽  
Zhigang Cao ◽  
Ying Jun Zhang
Keyword(s):  
Cognitive Radios ◽  
Optimal Scheduling ◽  
Geometric Method ◽  
Structured Matrix ◽  
Matrix Geometric Method ◽  
Cooperative Beamforming

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.  

PERFORMANCE ANALYSIS ON A COMPLEX REMANUFACTURING SYSTEM

2005 ◽  
Vol 22 (03) ◽  
pp. 327-347 ◽  
Author(s):  
YUMEI HOU ◽  
HANQIN ZHANG
Keyword(s):  
Performance Analysis ◽  
Geometric Method ◽  
Fill Rate ◽  
Matrix Geometric Method ◽  
The Matrix

This paper focuses on the performance analysis on a complex remanufacturing system that consists of a disassembling shop, a remanufacturing shop, an assembling shop, and a warehouse. The optimal remanufacturing policy is given. Furthermore, by the matrix-geometric method, the immediate demand fill rate is established.

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