Number of Lost Calls During the Busy Period in an M/G/1//N Queue with Inactive Orbit

2015 ◽  
pp. 85-98 ◽  
Author(s):  
Velika Dragieva
Keyword(s):  
Busy Period

Busy period analysis of finite QBD processes

2008 ◽  
Vol 36 (2) ◽  
pp. 98-100 ◽  
Author(s):  
Chaitanya Garikiparthi ◽  
Appie van de Liefvoort ◽  
Ken Mitchell
Keyword(s):  
Busy Period ◽  
Period Analysis ◽  
Qbd Processes

A busy period approach to some queueing games

2021 ◽  
Vol 97 (3-4) ◽  
pp. 261-277
Author(s):  
Moshe Haviv ◽  
Binyamin Oz
Keyword(s):  
Busy Period

On the asymptotic behaviour of the busy-period distribution in M/G/1 queues

1980 ◽  
Vol 12 (02) ◽  
pp. 301-302
Author(s):  
Anne-Marie De Meyer ◽  
J. L. Teugels
Keyword(s):  
Asymptotic Behaviour ◽  
Busy Period ◽  
Period Distribution

Finiteness of moments of partial busy periods for M/G/C queues

1986 ◽  
Vol 23 (1) ◽  
pp. 261-264 ◽  
Author(s):  
Saeed Ghahramani
Keyword(s):  
Busy Period ◽  
Loss System

Conditions for finiteness of moments of the following quantities have been found: the duration of a busy period of an Μ /G/∞ system; the duration of a partial busy period of an M/G/C loss system, and the duration of a partial busy period of an M/G/C queue.

scholarly journals Bayesian prediction of the transient behaviour and busy period in short- and long-tailed queueing systems

2008 ◽  
Vol 52 (3) ◽  
pp. 1615-1635 ◽  
Author(s):  
M. Concepción Ausín ◽  
Michael P. Wiper ◽  
Rosa E. Lillo
Keyword(s):  
Busy Period ◽  
Queueing Systems ◽  
Bayesian Prediction ◽  
Transient Behaviour

scholarly journals Perturbation analysis of a variable M/M/1 queue: a probabilistic approach

2006 ◽  
Vol 38 (01) ◽  
pp. 263-283 ◽  
Author(s):  
Nelson Antunes ◽  
Christine Fricker ◽  
Fabrice Guillemin ◽  
Philippe Robert
Keyword(s):  
Power Series ◽  
Busy Period ◽  
Stationary Process ◽  
Probabilistic Approach ◽  
Power Series Expansion ◽  
Mean Value ◽  
Service Rate ◽  
The Mean ◽  
The Impact ◽  
Period Duration

In this paper, motivated by the problem of the coexistence on transmission links of telecommunications networks of elastic and unresponsive traffic, we study the impact on the busy period of an M/M/1 queue of a small perturbation in the service rate. The perturbation depends upon an independent stationary process (X(t)) and is quantified by means of a parameter ε ≪ 1. We specifically compute the two first terms of the power series expansion in ε of the mean value of the busy period duration. This allows us to study the validity of the reduced service rate approximation, which consists in comparing the perturbed M/M/1 queue with the M/M/1 queue whose service rate is constant and equal to the mean value of the perturbation. For the first term of the expansion, the two systems are equivalent. For the second term, the situation is more complex and it is shown that the correlations of the environment process (X(t)) play a key role.

Approximate Queueing Formulae Based on Consideration of the Busy Period

1978 ◽  
Vol 29 (7) ◽  
pp. 707-708 ◽  
Author(s):  
B. H. Bissinger ◽  
V. N. Murty
Keyword(s):  
Busy Period

scholarly journals Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times

2004 ◽  
Vol 111 (2) ◽  
pp. 237-258 ◽  
Author(s):  
A. Baltrūnas ◽  
D.J. Daley ◽  
C. Klüppelberg
Keyword(s):  
Busy Period ◽  
Tail Behaviour ◽  
Service Times
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