The existence of fixed points for the $\cdot/GI/1$ queue
نویسندگان
چکیده
منابع مشابه
The existence of fixed points for the ·/GI/1 queue
A celebrated theorem of Burke’s asserts that the Poisson process is a fixed point for a stable exponential single server queue; that is, when the arrival process is Poisson, the equilibrium departure process is Poisson of the same rate. This paper considers the following question: Do fixed points exist for queues which dispense i.i.d. services of finite mean, but otherwise of arbitrary distribu...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2003
ISSN: 0091-1798
DOI: 10.1214/aop/1068646383