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A G/M/1-queue with exponential retrial

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Summary

We consider a G/M/1 retrial model in which the delays between retrials are i.i.d. exponentially distributed random variables. We investigate the steady-state distribution of the embedded Markov chain at completion service epochs, the stationary distribution at anytime and the virtual waiting time.

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References

  • Choi, B.D., K.K. Park and C.E.M. Pearce (1995).An M/M/1 retrial queue with control policy and general retrial times. Queueing System14, 275–292.

    Article  Google Scholar 

  • Cinlar, E. (1975).Introduction to stochastic processes. Pretice-Hall.

  • Cohen, J. (1969).The single server queue. North Holland, Amsterdam.

    Google Scholar 

  • Farahmand, K. (1990).Single line queue with repeated demands. Queueing System6, 223–228.

    Article  Google Scholar 

  • Falin, G.I. (1990).A survey of retrial queues. Queueing System7, 127–168.

    Article  Google Scholar 

  • Fayolle, G. (1986).A simple telephone exchange with delayed feedbacks, in Teletraffic Analysis and Computer Performance Evaluation. Eds. O.J. Boxma, J.W. Cohen and H.C. Tijms. Elseiver Science.

  • Martín, M. and J.R. Artalejo (1995).Analysis of an M/G/1 queue with two types of impatient units. Advances in Applied Probability27, (to appear).

  • Neuts, M.F. (1981).Matrix geometric solution in Stochastic Models. Johns Hopkins. University Press. Baltimore and London.

    Google Scholar 

  • Neuts, M.F. (1989).Structured stochastic matrices of M/G/1 type an their applications. Marcel Dekker. New York and Basel.

    Google Scholar 

  • Pedler, P.J. (1971).Occupation times for two state Markow Chains. J. Appl. Prob.8, 381–390.

    Article  Google Scholar 

  • Vazquez, M. (1993).Sistemas con reintentos y reintentos constantes. Convergencia de momentos. Tesis doctoral.

  • Yang, T. and J.G.C. Templeton (1987).A survey on retrial queues. Queueing Systems,2, 201–233.

    Article  Google Scholar 

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Authors and Affiliations

  1. Departamento de Estadística e Investigación Operativa Facultad de Matemáticas, Universidad Complutense, 28040, Madrid, Spain

    R. E. Lillo

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  1. R. E. Lillo
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Lillo, R.E. A G/M/1-queue with exponential retrial. Top 4, 99–120 (1996). https://doi.org/10.1007/BF02568606

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  • DOI: https://doi.org/10.1007/BF02568606

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