Abstract
We survey a method initiated by one of us in the 1990's for finding bounds and representations for the rate of convergence of a birth-death process. We also present new results obtained by this method for some specific birth-death processes related to mean-field models and to the $M/M/N/N+R$ service system. The new findings pertain to the asymptotic behaviour of the rate of convergence as the number of states tends to infinity.
Original language | Undefined |
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Pages (from-to) | 18-38 |
Number of pages | 22 |
Journal | Teoriya veroyatnostei i ee primeneniya |
Volume | 54 |
Issue number | 1 |
Publication status | Published - 2009 |
Keywords
- IR-68684
- EWI-16918
- METIS-264191
- MSC-60J80
- MSC-60J27