Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy
V. Jailaxmi; R. Arumuganathan; M. Senthil Kumar
RAIRO - Operations Research - Recherche Opérationnelle (2014)
- Volume: 48, Issue: 3, page 381-398
- ISSN: 0399-0559
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topJailaxmi, V., Arumuganathan, R., and Senthil Kumar, M.. "Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy." RAIRO - Operations Research - Recherche Opérationnelle 48.3 (2014): 381-398. <http://eudml.org/doc/275046>.
@article{Jailaxmi2014,
abstract = {This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.},
author = {Jailaxmi, V., Arumuganathan, R., Senthil Kumar, M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {retrial queue; working vacation; constant retrial policy},
language = {eng},
number = {3},
pages = {381-398},
publisher = {EDP-Sciences},
title = {Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy},
url = {http://eudml.org/doc/275046},
volume = {48},
year = {2014},
}
TY - JOUR
AU - Jailaxmi, V.
AU - Arumuganathan, R.
AU - Senthil Kumar, M.
TI - Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 3
SP - 381
EP - 398
AB - This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.
LA - eng
KW - retrial queue; working vacation; constant retrial policy
UR - http://eudml.org/doc/275046
ER -
References
top- [1] G.I. Falin and J.K.C. Templeton, Retrial queues, Chapman and Hall, London (1997). Zbl0944.60005
- [2] J.R. Artalejo, Accessible bibliography on retrail queues. Math. Comput. Model.30 (1999) 1–6. Zbl1198.90011
- [3] J.R. Artalejo, A classified bibliography of research on retrial queues: Progress in 1990, Top7 (1999) 187–211. Zbl1009.90001MR1737643
- [4] B.D. Choi and K.K. Park, The M/G/1 Retrial queue with Bernoulli schedule. Queueing Syst.7 (1990) 219–227. Zbl0706.60089MR1079717
- [5] B.D. Choi, K.B. Choi and Y.W. Lee, M/G/1 Retrial queueing system with two types of calls and finite capacity. Queueing Syst.19 (1995) 215–229. Zbl0836.60100MR1330175
- [6] B.D. Choi and Y. Chang, Single server retrial queues with priority calls. Math. Comput. Model.30 (1999) 7–32. Zbl1042.60533MR1722589
- [7] J.R. Artalejo and Gomez–Corral, Retrial queueing systems. A Comput. Approach. Springer-Verlag, Berlin (2008). Zbl1161.60033MR2416988
- [8] H. Takagi, Vacation and priority systems, Part I, Queueing analysis. A foundation of performance evaluation, Vol. 1, North-Holland, Amsterdam (1991). Zbl0744.60114MR1149382
- [9] H. Li and T. Yang, A single server retrial queue with server vacation and a finite number of input sources. Eur. J. Oper. Res.85 (1995) 149–160. Zbl0912.90139
- [10] J.R. Artalejo, Analysis of an M/G/1 queue with constant repeated attempts and server vacations. Comput. Oper. Res.24 (1997) 493–504. Zbl0882.90048MR1444916
- [11] B.T. Doshi, Queueing systems with vacations a survey. Queueing Syst.1 (1986) 29–66. Zbl0655.60089MR896237
- [12] B.T. Doshi, An M/G/1 queue with variable vacation. Proc. Int. Conf. Performance Model., Sophia Antipolis, France (1985).
- [13] Y. Baba, On the MX/G/1 queue with vacation time. Oper. Res. Lett.5 (1986) 93–98. Zbl0595.60094MR854803
- [14] M. Senthilkumar and R. Arumuganathan, On the single server batch arrival retrial queue with general vacation time under Bernoulli schedule and two phases of heterogeneous service. Quality Technology and Quantitative Management5 (2008) 145–160. MR2596571
- [15] H.W. Lee, S.S. Lee, J.O. Park and K.C. Chae, Analysis of MX/G/1 queue with N-policy and multiple vacations. J. Appl. Prob.31 (1994) 467–496. Zbl0804.60081MR1274803
- [16] S.S. Lee, H.W. Lee and K.C. Chae, Batch arrival queue with N-policy and single vacation. Comput. Oper. Res.22 (1995) 173–189. Zbl0821.90048
- [17] G.V. Krishna Reddy, R. Nadarajan and R. Arumuganathan, Analysis of a bulk queue with N- policy multiple vacations and setup times. Comput. Oper. Res.25 (1998) 957–967. Zbl1040.90514MR1638645
- [18] R. Arumuganathan, T. Judeth Malliga and A. Rathinasamy. Steady state analysis of non-Markorian bulk queueing system with N-Policy and different types of vacations. Int. J. Modern Math.3 (2008) 47–66. Zbl1145.60328MR2413631
- [19] M. Haridass and R. Arumuganathan, Analysis of a MX/G/1 queueing system with vacation interruption. RAIRO-Oper. Res. 46 (2012) 304–334. Zbl1268.60113MR2995739
- [20] L.D. Servi and S.G. Finn, M/M/1 queues with working vacation (M/M/1/Wv). Performance Evaluation50 (2002) 41–52.
- [21] J. KimD. Choi and K. Chae, Analysis of queue length distribution of the M/G/1 queue with working vacations, Int. Conf. Statistics and related fields, Hawaii (2003).
- [22] D. Wu. and H. Takagi, M/G/1 queue with multiple working vacations. Performance Evaluations 63 (2006) 654–681.
- [23] J.L. Li, N. Tian and Z.G. Zhang, Analysis of the M/G/1 queue with exponentially distributed working vacations a matrix analytic approach. Queueing Syst.61 (2009) 139–166. Zbl1166.60335MR2485886
- [24] Do. Tien Van, M/M/1 retrial queue working vacation. Acta Inf. 47 (2009) 67–75. Zbl1185.90046MR2585120
- [25] N. Limnios and Gh. Oprisan, Semi-Markov Process and Reliability-Statistics for Industry and Technology, Birkhauser Boston, Springer (2001). Zbl0990.60004MR1843923
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