no. 3
Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 381-398.

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.

DOI : 10.1051/ro/2014013
Classification : 60K25, 90B22
Mots clés : retrial queue, working vacation, constant retrial policy 
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     title = {Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {381--398},
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Jailaxmi, V.; Arumuganathan, R.; Senthil Kumar, M. Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 381-398. doi : 10.1051/ro/2014013. http://www.numdam.org/articles/10.1051/ro/2014013/

[1] G.I. Falin and J.K.C. Templeton, Retrial queues, Chapman and Hall, London (1997). | Zbl

[2] J.R. Artalejo, Accessible bibliography on retrail queues. Math. Comput. Model. 30 (1999) 1-6. | Zbl

[3] J.R. Artalejo, A classified bibliography of research on retrial queues: Progress in 1990, Top 7 (1999) 187-211. | MR | Zbl

[4] B.D. Choi and K.K. Park, The M/G/1 Retrial queue with Bernoulli schedule. Queueing Syst. 7 (1990) 219-227. | MR | Zbl

[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. | MR | Zbl

[6] B.D. Choi and Y. Chang, Single server retrial queues with priority calls. Math. Comput. Model. 30 (1999) 7-32. | MR | Zbl

[7] J.R. Artalejo and Gomez-Corral, Retrial queueing systems. A Comput. Approach. Springer-Verlag, Berlin (2008). | MR | Zbl

[8] H. Takagi, Vacation and priority systems, Part I, Queueing analysis. A foundation of performance evaluation, Vol. 1, North-Holland, Amsterdam (1991). | MR | Zbl

[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. | Zbl

[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. | MR | Zbl

[11] B.T. Doshi, Queueing systems with vacations a survey. Queueing Syst. 1 (1986) 29-66. | MR | Zbl

[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. | MR | Zbl

[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 Management 5 (2008) 145-160. | MR

[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. | MR | Zbl

[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. | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[19] M. Haridass and R. Arumuganathan, Analysis of a MX/G/1 queueing system with vacation interruption. RAIRO-Oper. Res. 46 (2012) 304-334. | Numdam | MR | Zbl

[20] L.D. Servi and S.G. Finn, M/M/1 queues with working vacation (M/M/1/Wv). Performance Evaluation 50 (2002) 41-52.

[21] J. Kim D. 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. | MR | Zbl

[24] Do. Tien Van, M/M/1 retrial queue working vacation. Acta Inf. 47 (2009) 67-75. | MR | Zbl

[25] N. Limnios and Gh. Oprisan, Semi-Markov Process and Reliability-Statistics for Industry and Technology, Birkhauser Boston, Springer (2001). | MR | Zbl

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