Uniqueness of Stationary Ergodic Fixed Point for A./M/KNode

Authors
Anantharam, V.
Citation
V. Anantharam,, Uniqueness of Stationary Ergodic Fixed Point for A./M/KNode, Annals of applied probability , 3(1), 1993, pp. 154-172
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
3
Issue
1
Year of publication
1993
Pages
154 - 172
Database
ACNP
SICI code
Abstract
We view a ./M/K node having K exponential servers of service rate . as a map on the space of stationary ergodic arrival processes of rate .,.<K.. It is well known that the Poisson process of rate . is a fixed point of this map. We prove there is no other fixed point.