On the rates of convergence of Erlang's model

1999/12/01 by Christine Fricker, Philippe Robert, Danielle Tibi · 1 citation
Business, Management and Accounting · Mathematics · #Advanced Queuing Theory Analysis #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · doi:10.1239/jap/1032374763

Abstract

The convergence to equilibrium of the renormalized M / M / N / N queue is analysed. Upper bounds on the distance to equilibrium are obtained and the cut-off property for two regimes of this queue is proved. Simple probabilistic methods, such as coupling techniques and martingales, are used to obtain these results.

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• Transient analysis of the Erlang A model. [europepmc]

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