Tail behavior of the queue size distribution in the M/M/m retrial queue

2009 ◽  
Author(s):  
Jerim Kim ◽  
Jeongsim Kim ◽  
Bara Kim
Keyword(s):  
Size Distribution ◽  
Retrial Queue ◽  
Queue Size ◽  
Tail Behavior

Moments of the queue size distribution in the MAP/G/1 retrial queue

2010 ◽  
Vol 37 (7) ◽  
pp. 1212-1219 ◽  
Author(s):  
Jeongsim Kim ◽  
Bara Kim ◽  
Jerim Kim
Keyword(s):  
Size Distribution ◽  
Retrial Queue ◽  
Queue Size

Tail asymptotics for the queue size distribution in the MAP/G/1 retrial queue

2010 ◽  
Vol 66 (1) ◽  
pp. 79-94 ◽  
Author(s):  
Bara Kim ◽  
Jeongsim Kim ◽  
Jerim Kim
Keyword(s):  
Size Distribution ◽  
Retrial Queue ◽  
Tail Asymptotics ◽  
Queue Size

scholarly journals Tail Asymptotics for the Queue Size Distribution in an M/G/1 Retrial Queue

2007 ◽  
Vol 44 (04) ◽  
pp. 1111-1118 ◽  
Author(s):  
Jerim Kim ◽  
Bara Kim ◽  
Sung-Seok Ko
Keyword(s):  
Size Distribution ◽  
Service Time ◽  
Generating Functions ◽  
Time Distribution ◽  
Retrial Queue ◽  
Service Time Distribution ◽  
Tail Asymptotics ◽  
Queue Size ◽  
Exponential Moment ◽  
Geometric Function

We consider an M/G/1 retrial queue, where the service time distribution has a finite exponential moment. We show that the tail of the queue size distribution is asymptotically given by a geometric function multiplied by a power function. The result is obtained by investigating analytic properties of probability generating functions for the queue size and the server state.

scholarly journals Tail Asymptotics for the Queue Size Distribution in an M/G/1 Retrial Queue

2007 ◽  
Vol 44 (4) ◽  
pp. 1111-1118 ◽  
Author(s):  
Jerim Kim ◽  
Bara Kim ◽  
Sung-Seok Ko
Keyword(s):  
Size Distribution ◽  
Service Time ◽  
Generating Functions ◽  
Time Distribution ◽  
Retrial Queue ◽  
Service Time Distribution ◽  
Tail Asymptotics ◽  
Queue Size ◽  
Exponential Moment ◽  
Geometric Function

We consider an M/G/1 retrial queue, where the service time distribution has a finite exponential moment. We show that the tail of the queue size distribution is asymptotically given by a geometric function multiplied by a power function. The result is obtained by investigating analytic properties of probability generating functions for the queue size and the server state.

Relations Among Moments of Waiting Time and Queue Size Distribution in Bulk Queueing Systems

1987 ◽  
Vol 36 (1-2) ◽  
pp. 63-68
Author(s):  
A. Ghosal ◽  
S. Madan ◽  
M.L. Chaudhry
Keyword(s):  
Size Distribution ◽  
Waiting Time ◽  
Queueing Systems ◽  
Queueing Models ◽  
Queue Size ◽  
Different Types

This paper brings out relations among the moments of various orders of the waiting time and the queue size in different types of bulk queueing models.

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