The M/M/1/K interdependent retrial queueing model with impatient customers and controllable arrival rates
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2014-10-19 https://doi.org/10.14419/ijamr.v3i4.3575 -
Abstract
In this paper an M/M/1/K interdependent retrial queueing model with controllable arrival rates and impatient customers is considered. The steady state solutions and the system characteristics are derived for this model. The analytical results are numerically illustrated and the effect of the nodal parameters on the system characteristics are studied and relevant conclusion is presented.
Keywords: finite capacity, interdependent primary arrival and service processes, impatient customers, retrial queue, single server.
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References
- J.R.Artalejo, Retrial queues with a finite number of sources, Journal of Korean Mathematical Society, 35(1998) 503-525.
- J.R.Artalejo, A classified bibliography of research on retrial queues: Progress in 1990-1999 Top 7(1999a) 187-211.
- J.R.Artalejo, Accessible bibliography on retrial queues, Mathematical and Computer Modeling, 30(1999b) 223-233.
- J.R.Artalejo, Accessible bibliography on retrial queues progress in 2000-2009, Mathematical Computer Modeling, 51(2010) 1071-1081.
- G.I.Falin, A survey of retrial queues, Queueing Systems, 7(1990) 127-168.
- G.I.Falin and J.G.C.Templeton, Retrial Queues, Chapman and Hall, London, (1997).
- J.Medhi, Stochastic Models in Queueing Theory, Academic Press, second edition, India,(2006).
- K.Srinivasa Rao, T.Shobha and P.Srinivasa Rao, The M/M/1/1 interdependent queueing model with controllable arrival rates Opsearch, 37, No.1, (2000) 14-24.
- A.Srinivasan, and M.Thiagarajan, The M/M/1/K interdependent queueing model with controllable arrival rates, International Journal of Management and Systems, 22, No.1, (2006) 23-34.
- A.Srinivasan, and M.Thiagarajan, The M/M/C/K/N interdependent queueing model with controllable arrival rates balking, reneging and spares, Journal of Statistics and Applications, 2, Nos.1-2,(2007) 56-65.
- A.Srinivasan, and M.Thiagarajan, A finite population, loss and delay queueing system with interdependent inter – arrival and service times, controllable arrival rates and no passing, Journal of Applied Statistical Science, 17, No.1,(2009) 47-64.
- B.Antline Nisha, M.Thiagarajan and A.Srinivasan, The M/M/1/K interdependent retrial queueing model with controllable arrival rates, To appear in Journal of combinatorics, information and system sciences, 39(2014).
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How to Cite
Antline Nisha, B., & Thiagarajan, M. (2014). The M/M/1/K interdependent retrial queueing model with impatient customers and controllable arrival rates. International Journal of Applied Mathematical Research, 3(4), 485-495. https://doi.org/10.14419/ijamr.v3i4.3575Received date: 2014-09-11
Accepted date: 2014-10-12
Published date: 2014-10-19