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Stochastic decomposition for retrial queues

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Summary

This paper deals with the stochastic decomposition property for retrial queues. This property is connected with similar results for vacation models. As applications, the moments of the number of customers in orbit and the rate of convergence under high retrial intensity can be obtained.

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References

  • Artalejo, J.R. (1993).Explicit formulae for the characteristics of the M/H 2/1retrial queue. Journal of the Operational Research Society44, 309–313.

    Article  Google Scholar 

  • Cohen, J.W. (1982). The single server queue (2th ed.), North Holland.

  • Doshi, B.T. (1986).Queueing systems with vacations. Queueing System1, 29–66.

    Article  Google Scholar 

  • Falin, G.I. (1990).A survey of retrial queues. Queueing Systems7, 127–168.

    Article  Google Scholar 

  • Falin, G.I. and C. Fricker (1991).On the virtual waiting time in the M/G/1 retrial queue. Journal of Applied Probability28, 446–460.

    Article  Google Scholar 

  • Falin, G.I., J.R. Artalejo and M. Martín (1993).On the single server retrial queue with priority customers. Queueing Systems14, 439–455.

    Article  Google Scholar 

  • Farahmand, K. (1990).Single line queue with repeated attempts. Queueing Systems6, 223–228.

    Article  Google Scholar 

  • Pearce, C.E.M. (1989).Extended continued fractions, recurrence relations and two dimensional Markow processes. Advances in Applied Probability21, 357–375.

    Article  Google Scholar 

  • Shiryayev, A.N. (1984). Probability, Springer-Verlag.

  • Teghem, J. (1986).Control of the service process in a queueing system. European Journal of Operational Research23, 141–158.

    Article  Google Scholar 

  • Yang, T. and J.G.C. Templeton (1987).A survey on retrial queues. Queueing Systems2, 201–233.

    Article  Google Scholar 

  • Yang, T., M.J.M. Posner, J.G.C. Templeton and H. Li (1994).An approximation method for the M/G/1 retrial queue with general retrial times. European Journal of Operational Research76, 552–562.

    Article  Google Scholar 

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This work was supported under Grant PR161/93-4777

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Artalejo, J.R., Falin, J.I. Stochastic decomposition for retrial queues. Top 2, 329–342 (1994). https://doi.org/10.1007/BF02574813

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  • DOI: https://doi.org/10.1007/BF02574813

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