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A queueing system with returning customers and waiting line

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Publication Date
1995-05
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Elsevier
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Abstract
We consider a queueing system where a customer who finds all channels busy must decide either to join the queue or to retry after an exponentially distributed time. The performance of the system can be approximated by using the RTA approximation introduced by Wolff and Greenberg. We present numerical results demonstrating the performance of the approximation for various representative cases.
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The author would like to thank the anonymous referee for his comments which helped to improve the quality and clarity of the paper. This work was supported in part by the University Complutense of Madrid under grant PR161/93-4777.
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Investigación operativa (Matemáticas)
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1207 Investigación Operativa
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J.R. Artalejo. Explicit formulae for the characteristics of the M/H2/1 retrial queue. J. Oper. Res. Soc., 44 (1993), pp. 309–313 N. Deul. Stationary conditions for multiserver queueing systems with repeated calls. Elektron. Informationsverarbeitung Kybern., 16 (1980), pp. 607–613 G.I. Falin. On sufficient conditions for ergodicity of multichannel queueing systems with repeated calls. Adv. Appl. Probab., 16 (1984), pp. 447–448 G.I. Falin. A survey of retrial queues. Queueing Systems, 7 (1990), pp. 127–167 B.S. Greenberg. M/G/1 queueing systems with returning customers. J. Appl. Probab., 26 (1989), pp. 152–163 B.S. Greenberg, R.W. Wolff. An upper bound on the performance of queues with returning customers. J. Appl. Probab., 24 (1987), pp. 466–475 N. Jacobson. Basic Algebra I. Freeman, New York (1985) M.F. Neuts, B.M. Rao. Numerical investigation of a multiserver retrial model. Queueing Systems, 7 (1990), pp. 169–190 C.E.M. Pearce. Extended continued fractions, recurrence relations and two-dimensional Markov processes. Adv. Appl. Probab., 21 (1989), pp. 357–375 R.L. Tweedie. Sufficient conditions for regularity, recurrence and ergodicity of Markov processes. Math. Proc. Cambridge Philos. Soc., 78 (1975), pp. 125–136 R.W.Wolff.Stochastic Modeling and the Theory of Queues. Prentice-Hall, Englewood Cliffs, NJ (1989)
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https://hdl.handle.net/20.500.14352/57502
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