Queueing for ergodic arrivals and services

Details Queueing for ergodic arrivals and services Queueing for ergodic arrivals and services

2007-09-14

arxiv.org/abs/0709.2330v1

In Limit Theorems in Probability and Statistics, I. Berkes E. Csaki, M. Csorgo (Eds.), pp. 127-141, J. Bolyai Mathematical Soc

Mathematics

Probability

Queueing for ergodic arrivals and services. In Limit Theorems in Probability and Statistics, I. Berkes E. Csaki, M. Csorgo (Ed

Scientific paper

In this paper we revisit the results of Loynes (1962) on stability of queues
for ergodic arrivals and services, and show examples when the arrivals are
bounded and ergodic, the service rate is constant, and under stability the
limit distribution has larger than exponential tail.

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