Access the full text.
Sign up today, get DeepDyve free for 14 days.
Hui Li, Tao Yang (1995)
A single-server retrial queue with server vacations and a finite number of input sourcesEuropean Journal of Operational Research, 85
T. Burr (2001)
Introduction to Matrix Analytic Methods in Stochastic ModelingTechnometrics, 43
BD Choi, JW Kim (1997)
Discrete-time Geo 1,Geo 2 /G/1 retrial queueing system with two types of callsComputers and Mathematics with Applications, 33
K B Krishna, D Arivudainambi, A Vijayakumar (2002)
On the M X /G/1 retrial queue with Bernoulli schedules and general retrial timesAsia-Pacific Journal of Operational Research, 19
Jinting Wang, P. Zhang (2009)
A discrete-time retrial queue with negative customers and unreliable serverComput. Ind. Eng., 56
B. Choi, J. Kim (1997)
Discrete-time Geo1, Geo2/G/1 retrial queueing systems with two types of callsComputers & Mathematics With Applications, 33
B. Kumar, And Arivudainambi (2002)
The M/G/1 retrial queue with Bernoulli schedules and general retrial timesComputers & Mathematics With Applications, 43
C. Langaris (1999)
Gated polling models with customers in orbitMathematical and Computer Modelling, 30
J. Hunter (2008)
Mathematical Techniques of Applied Probability Volume 2 Discrete Time Models: Techniques and Applications
J. Artalejo, A. Gómez‐Corral (2008)
Retrial Queueing Systems: A Computational Approach
H. Li, T. Yang (1999)
Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queuesMathematical and Computer Modelling, 30
Amar Aissani (2000)
An MX /G/1 retrial queue with exhaustive vacationsJournal of Statistics and Management Systems, 3
M. Neuts (1982)
Matrix-geometric solutions in stochastic models - an algorithmic approach
JR Artalejo, I Atencia, P Moreno (2005)
A discrete-time Geo [X] /G/1 retrial queue with control of admissionApplied Mathematical Modelling, 29
A. Alfa (2003)
Vacation models in discrete timeQueueing Systems, 44
G Latouche, V Ramaswami (1999)
Introduction to Matrix Analytic Methods in Stochastic Modeling. ASASIAM Series on Statistics and Applied Probability
Jinting Wang, Peng Zhang (2009)
A single-server discrete-time retrial G-queue with server breakdowns and repairsActa Mathematicae Applicatae Sinica, English Series, 25
A. Alfa, W. Li (2001)
Matrix–geometric analysis of the discrete time Gi/G/1 systemStochastic Models, 17
A. Gravey, G. Hébuterne (1992)
Simultaneity in Discrete-Time Single Server Queues with Bernoulli InputsPerform. Evaluation, 14
I. Atencia, P. Moreno (2006)
A Discrete-Time Geo/G/1 Retrial Queue with Server BreakdownsAsia Pac. J. Oper. Res., 23
A. Gómez‐Corral (2006)
A bibliographical guide to the analysis of retrial queues through matrix analytic techniquesAnnals of Operations Research, 141
(1999)
On the Single Server Queue with Linear Retrial Policy and Exaustive Vacations
I. Atencia, P. Moreno (2006)
A Discrete-Time Geo/G/1 retrial queue with the server subject to starting failuresAnnals of Operations Research, 141
(1990)
Numerical investigation of a multi-server retrial model
A. Alfa (2006)
Discrete-time analysis of the GI/G/1 system with Bernoulli retrials: An algorithmic approachAnnals of Operations Research, 141
Jinting Wang, Jianghua Li (2008)
A Repairable M/G/l Retrial Queue with Bernoulli Vacation and Two-Phase ServiceQuality Technology & Quantitative Management, 5
Jinting Wang, Qing Zhao (2007)
A discrete-time Geo/G/1 retrial queue with starting failures and second optional serviceComput. Math. Appl., 53
I. Atencia, P. Moreno (2004)
A Discrete-Time Geo/G/1 Retrial Queue with General Retrial TimesQueueing Systems, 48
J. Artalejo (1997)
Analysis of an M/G/1 queue with constant repeated attempts and server vacationsComput. Oper. Res., 24
V Ramaswami, PG Taylor (1996)
Some properties of the rate operators in level dependent Quasi-Birth-and-Death processes with a countable number of phasesComm. Statist. Stochastic Models, 12
Tao Yang, Hui Li (1995)
On the steady-state queue size distribution of the discrete-timeGeo/G/1 queue with repeated customersQueueing Systems, 21
M Takahashi, H Osawa, T Fujisawa (1999)
Geo [X]/G/1 retrial queue with non-preemptive priorityAsia-Pacific Journal of Operational Research, 16
J. Templeton, G. Falin (2023)
Retrial queuesTop, 7
E. Moutzoukis, C. Langaris (1996)
Non-preemptive priorities and vacations in a multiclass retrial queueing systemStochastic Models, 12
AA Aissani (2000)
An M X /G/1 retrial queue with exhaustive vacationsJournal of Statistics Management Systems, 3
P. Moreno (2006)
A Discrete-Time Retrial Queue with Unreliable Server and General Server LifetimeJournal of Mathematical Sciences, 132
Hui Li, Tao Yang (1998)
Geo/G/1 discrete time retrial queue with Bernoulli scheduleEur. J. Oper. Res., 111
G. Falin (1983)
CALCULATION OF PROBABILITY CHARACTERISTICS OF A MULTILINE SYSTEM WITH REPEAT CALLSMoscow University Computational Mathematics and Cybernetics
U. Bhat, M. Neuts (1989)
Structured Stochastic Matrices of M/G/1 Type and Their Applications
J. Diamond, A. Alfa (1998)
The map/ph/1 retrial queueStochastic Models, 14
JR Artalejo, A Rodrigo (1999)
Stochastic Processes and their Applications
Jinting Wang, Qing Zhao (2007)
Discrete-time Geo/G/1 retrial queue with general retrial times and starting failuresMath. Comput. Model., 45
J. Artalejo, I. Atencia, P. Moreno (2005)
A discrete-time Geo[X]/G/1 retrial queue with control of admissionApplied Mathematical Modelling, 29
A. Alfa (2004)
Markov chain representations of discrete distributions applied to queueing modelsComput. Oper. Res., 31
V. Ramaswami, P. Taylor (1996)
Some properties of the rate operators in level dependent quasi-birth-and-death processes with a countable number of phasesStochastic Models, 12
A discrete-time GI/G/1 retrial queue with Bernoulli retrials and time-controlled vacation policies is investigated in this paper. By representing the inter-arrival, service and vacation times using a Markov-based approach, we are able to analyze this model as a level-dependent quasi-birth-and-death (LDQBD) process which makes the model algorithmically tractable. Several performance measures such as the stationary probability distribution and the expected number of customers in the orbit have been discussed with two different policies: deterministic time-controlled system and random time-controlled system. To give a comparison with the known vacation policy in the literature, we present the exhaustive vacation policy as a contrast between these policies under the early arrival system (EAS) and the late arrival system with delayed access (LAS-DA). Significant difference between EAS and LAS-DA is illustrated by some numerical examples.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Nov 29, 2013
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.