Analysis of a non-Markovian single server batch arrival queueing system of compulsory three stages of services with fourth optional stage service, service interruptions and deterministic server vacations

2019 ◽  
Vol 34 (1) ◽  
pp. 28 ◽  
Author(s):  
S. Maragatha Sundari ◽  
P. Vignesh ◽  
S. Srinivasan
Keyword(s):  
Queueing System ◽  
Batch Arrival ◽  
Single Server ◽  
Service Interruptions ◽  
Server Vacations ◽  
Three Stages

scholarly journals Effects of Reneging, Server Breakdowns and Vacation on a Batch Arrival Single Server Queueing System with Three Fluctuating Modes of Service

2020 ◽  
Vol 09 (04) ◽  
pp. 105-128
Author(s):  
Samuel Ugochukwu Enogwe ◽  
H. Onyebuchi Obiora-Ilouno
Keyword(s):  
Queueing System ◽  
Batch Arrival ◽  
Single Server

Analysis of a single server batch arrival retrial queueing system with modified vacations and N-policy

2014 ◽  
Vol 49 (2) ◽  
pp. 279-296 ◽  
Author(s):  
M. Haridass ◽  
R. Arumuganathan
Keyword(s):  
Queueing System ◽  
Batch Arrival ◽  
Single Server ◽  
Retrial Queueing System ◽  
Retrial Queueing

SINGLE SERVER REPAIRABLE RETRIAL QUEUEING SYSTEM WITH MODIFIED BERNOULLI VACATION, OPTIONAL RE-SERVICE

2020 ◽  
Vol 9 (8) ◽  
pp. 5997-6007
Author(s):  
C. Revathi ◽  
l. Francis Raj ◽  
M.C. Saravanarajan
Keyword(s):  
Queueing System ◽  
Single Server ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
Bernoulli Vacation

A single-server retrial queue with server vacations and a finite number of input sources

1995 ◽  
Vol 85 (1) ◽  
pp. 149-160 ◽  
Author(s):  
Hui Li ◽  
Tao Yang
Keyword(s):  
Finite Number ◽  
Retrial Queue ◽  
Single Server ◽  
Server Vacations

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.

The single-server queue with service depending on queue size and with the preemptive-resume last-come–first-served queue discipline

1987 ◽  
Vol 24 (03) ◽  
pp. 758-767
Author(s):  
D. Fakinos
Keyword(s):  
Queueing System ◽  
Limiting Distribution ◽  
Single Server ◽  
Queue Size ◽  
Single Server Queue ◽  
Preemptive Resume ◽  
Server Queue ◽  
Queue Discipline ◽  
Service Times

This paper studies theGI/G/1 queueing system assuming that customers have service times depending on the queue size and also that they are served in accordance with the preemptive-resume last-come–first-served queue discipline. Expressions are given for the limiting distribution of the queue size and the remaining durations of the corresponding services, when the system is considered at arrival epochs, at departure epochs and continuously in time. Also these results are applied to some particular cases of the above queueing system.

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