Full Paper View Go Back
Stochastic Analysis of a Discrete-time queuing model for a working Vacations
N. Pukazhenthi1 , E. Sabarimalai2
Section:Review Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.1 , pp.209-215, Feb-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i1.209215
Online published on Feb 28, 2019
Copyright © N. Pukazhenthi, E. Sabarimalai . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
View this paper at Google Scholar | DPI Digital Library
How to Cite this Paper
- IEEE Citation
- MLA Citation
- APA Citation
- BibTex Citation
- RIS Citation
IEEE Style Citation: N. Pukazhenthi, E. Sabarimalai, “Stochastic Analysis of a Discrete-time queuing model for a working Vacations,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.1, pp.209-215, 2019.
MLA Style Citation: N. Pukazhenthi, E. Sabarimalai "Stochastic Analysis of a Discrete-time queuing model for a working Vacations." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.1 (2019): 209-215.
APA Style Citation: N. Pukazhenthi, E. Sabarimalai, (2019). Stochastic Analysis of a Discrete-time queuing model for a working Vacations. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 209-215.
BibTex Style Citation:
@article{Pukazhenthi_2019,
author = {N. Pukazhenthi, E. Sabarimalai},
title = {Stochastic Analysis of a Discrete-time queuing model for a working Vacations},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2019},
volume = {6},
Issue = {1},
month = {2},
year = {2019},
issn = {2347-2693},
pages = {209-215},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1161},
doi = {https://doi.org/10.26438/ijcse/v6i1.209215}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i1.209215}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1161
TI - Stochastic Analysis of a Discrete-time queuing model for a working Vacations
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - N. Pukazhenthi, E. Sabarimalai
PY - 2019
DA - 2019/02/28
PB - IJCSE, Indore, INDIA
SP - 209-215
IS - 1
VL - 6
SN - 2347-2693
ER -
268 Views
168 Downloads
89 Downloads
Abstract :
In this paper, we analysis the discrete time queuing model with working vacation. during the vacation period, server completely stopping and taken the original work at the lower rate .we have obtained the closed property of conditional probability for negative binomial distribution. finally two special model model are presented.
Key-Words / Index Term :
Discrete-time, Working vacations, Matrix-geometric approach, Closed property of conditional probability , Waiting time distribution
References :
[1]. Baba, Y.: Analysis of a GI/M/1 queue with multiple working vacations. Oper. Res. Lett. 33, 201–209 (2005)
[2]. Li, J., Tian, N.: Analysis of the discrete time Geo/Geo/1 queue with single working vacation QTQM. Special issue on Queueing Models with vacations (2006, accepted)
[3]. Meisling, T.: Discrete time queueing theory. Oper. Res. 6, 96–105 (1958)
[4]. Rather, A. A., and Subramanian, C., Exponentiated mukherjee-islam distribution, Journal of Statistics Applications and Probability,7(2), 357-361 (2018).
[5]. Rather, A. A., and Subramanian, C., Transmuted mukherjee-islam failure model, Journal of Statistics Applications and Probability,7(2), 343-347 (2018).
[6]. Servi, L.D., Finn, S.G.: M/M/1 queue with working vacations (M/M/1/WV). Perform. Eval. 50, 41–52 (2002)
[7]. Servi, L.D., Finn, S.G.: M/M/1 queue with working vacations (M/M/1/WV). Perform. Eval. 50, 41–52 (2002)
[8]. Sivasamy, R and Pukazhenthi, N. "A discrete time bulk service queue with accessible batch: Geo/NB (L, K) /1". Opsearch. Vol.46 (3), pp.321-334. (2009).
[9]. Takagi, H.: Queueing Analysis. Discrete-Time Systems, vol. 3. North-Holland/Elsevier, Amsterdam (1993)
[10]. Tian, N., Zhang, D., Cao, C.: The GI/M/1 queue with exponential vacations. Queueing Syst. 5, 331–344 (1989)
[11]. Tian, N., Zhang, Z.G.: Vacation Queueing Models: Theory and Applications. Springer, New York (2006)
[12]. Wu, D., Takagi, H.: M/G/1 queue with multiple working vacations. Perform. Eval. 63(7), 654–681 (2006)
[13]. Zhang, Z.G., Tian, N.: Geo/G/1 queue with multiple adaptive vacations. Queueing Syst. 38, 419–429 (2001)
[14]. Zhang, Z.G., Tian, N.: Geo/G/1 queue with multiple adaptive vacations. Queueing Syst. 38, 419–429 (2001
You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at support@isroset.org or view contact page for more details.
