On the rate of convergence to stationarity of the M/M/N queue in the Halfin-Whitt regime
We prove several results about the rate of convergence to stationarity, that is, the spectral gap, for the M/M/n queue in the Halfin-Whitt regime. We identify the limiting rate of convergence to steady-state, and discover an asymptotic phase transition that occurs w.r.t. this rate. In particular, we...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Institute of Mathematical Statistics,
2013-12-23T20:46:47Z.
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Subjects: | |
Online Access: | Get fulltext |