Effect of Disaster and Balking on M/M/1 driven Fluid Queue with Working Vacation

2021 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
ANSHUL KUMAR ◽  
Madhu Jain
Keyword(s):  
Working Vacation ◽  
Fluid Queue

scholarly journals Multi-server system with single working vacation

2009 ◽  
Vol 33 (7) ◽  
pp. 2967-2977 ◽  
Author(s):  
Chuen-Horng Lin ◽  
Jau-Chuan Ke
Keyword(s):  
Working Vacation ◽  
Multi Server ◽  
Server System

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.

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