Performance Analysis of an M/G/1 Retrial Queueing System Under LCFS-PR Discipline with General Retrial and Setup Times

2018 ◽  
pp. 333-347
Author(s):  
B. Krishna Kumar ◽  
R. Sankar ◽  
R. Rukmani
Keyword(s):  
Performance Analysis ◽  
Queueing System ◽  
Setup Times ◽  
Retrial Queueing System ◽  
Retrial Queueing

Performance analysis of a multiprogramming–multiprocessor retrial queueing system with orderly reattempts

2015 ◽  
Vol 247 (1) ◽  
pp. 319-364 ◽  
Author(s):  
B. Krishna Kumar ◽  
A. Thanikachalam ◽  
V. Kanakasabapathi ◽  
R. Rukmani
Keyword(s):  
Performance Analysis ◽  
Queueing System ◽  
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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