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Reports (Research Report) Year : 1998

On the Rates of Convergence of Erlang's Model

Philippe Robert
Danielle Tibi
  • Function : Author

Abstract

The convergence to equilibrium of the renormalized M/M/$N/N$ queue is analyzed. Some upper bounds on the distance to equilibrium are given and we prove the cutoff property for two regimes of this queue. We use simple probabilistic methods, such as coupling technics and martingales, to derive our results.
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Dates and versions

inria-00073321 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073321 , version 1

Cite

Christine Fricker, Philippe Robert, Danielle Tibi. On the Rates of Convergence of Erlang's Model. [Research Report] RR-3368, INRIA. 1998. ⟨inria-00073321⟩
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