Non-stationary analysis of queueing delay behavior in the GI/M/1/N-type queue with server working vacations

2015 ◽  
Author(s):  
Wojciech M. Kempa
Keyword(s):  
Stationary Analysis ◽  
Queueing Delay ◽  
Working Vacations

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.

scholarly journals The stationary G/G/s queue

1998 ◽  
Vol 11 (1) ◽  
pp. 59-71 ◽  
Author(s):  
Pierre Le Gall
Keyword(s):  
Queueing Delay

The distribution of the queueing delay in the stationary G/G/s queue is given with an application to the GI/G/s queue and to the M/G/s queue.

scholarly journals Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

2019 ◽  
Vol 10 (2) ◽  
pp. 211-226
Author(s):  
Lahcene Yahiaoui ◽  
◽  
Amina Angelika Bouchentouf ◽  
Mokhtar Kadi ◽  
◽  
...  
Keyword(s):  
Cost Analysis ◽  
Impatient Customers ◽  
Working Vacations ◽  
Optimum Cost ◽  
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