TheM/M/1 queue with mass exodus and mass arrivals when empty
Authors:
- Anyue ChenACAnyue Chen
- Eric RenshawEREric Renshaw
- 1 March 1997
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 34 (1) , 192-207
Abstract
AnM/M/1 queue is subject to mass exodus at rateβand mass immigration at ratewhen idle. A general resolvent approach is used to derive occupation probabilities and high-order moments. This powerful technique is not only considerably easier to apply than a standard direct attack on the forward p.g.f. equation, but it also implicitly yields necessary and sufficient conditions for recurrence, positive recurrence and transience.Keywords
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