scholarly journals State dependent arrival in bulk retrial queueing system with immediate Bernoulli feedback, multiple vacations and threshold

2017 ◽  
Vol 263 ◽  
pp. 042144
Author(s):  
S P Niranjan ◽  
V M Chandrasekaran ◽  
K Indhira
Keyword(s):  
Queueing System ◽  
Bernoulli Feedback ◽  
Multiple Vacations ◽  
Retrial Queueing System ◽  
State Dependent ◽  
Retrial Queueing

An M/G/1 Bernoulli feedback retrial queueing system with negative customers

2011 ◽  
Vol 13 (2) ◽  
pp. 187-210 ◽  
Author(s):  
B. Krishna Kumar ◽  
S. Pavai Madheswari ◽  
S. R. Anantha Lakshmi
Keyword(s):  
Queueing System ◽  
Negative Customers ◽  
Bernoulli Feedback ◽  
Retrial Queueing System ◽  
Retrial Queueing

scholarly journals STABILITY ANALYSIS AND SIMULATION OF N-CLASS RETRIAL SYSTEM WITH CONSTANT RETRIAL RATES AND POISSON INPUTS

2014 ◽  
Vol 31 (02) ◽  
pp. 1440002 ◽  
Author(s):  
K. AVRACHENKOV ◽  
E. MOROZOV ◽  
R. NEKRASOVA ◽  
B. STEYAERT
Keyword(s):  
Queueing System ◽  
Stability Domain ◽  
Single Server ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
Single Orbit ◽  
Transmission Control Protocols ◽  
Regenerative Approach ◽  
The Stability ◽  
Multi Access

In this paper, we study a new retrial queueing system with N classes of customers, where a class-i blocked customer joins orbit i. Orbit i works like a single-server queueing system with (exponential) constant retrial time (with rate [Formula: see text]) regardless of the orbit size. Such a system is motivated by multiple telecommunication applications, for instance wireless multi-access systems, and transmission control protocols. First, we present a review of some corresponding recent results related to a single-orbit retrial system. Then, using a regenerative approach, we deduce a set of necessary stability conditions for such a system. We will show that these conditions have a very clear probabilistic interpretation. We also performed a number of simulations to show that the obtained conditions delimit the stability domain with a remarkable accuracy, being in fact the (necessary and sufficient) stability criteria, at the very least for the 2-orbit M/M/1/1-type and M/Pareto/1/1-type retrial systems that we focus on.

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