A stability condition for the GI/G/1 retrial queueing system with T-returns

Authors

  • E. V. Koba

Abstract

The author considers a GI/G/1 retrial queueing system in which delaed customers are directed to the "orbit" to be returned in a constant time T. Let a be the mean inter-arrival time, τ be the service time. Then, under the condition (T + τ) / a < 1 a steady-state regime of the system is proved to exist. It is shown that the stated condition cannot be essentially improved.

Author Biography

E. V. Koba

Koba E.V.

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Issue

No. 1 (2005)

Section

Progressive information technologies, high-efficiency computer systems

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