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Nonparametric Estimation of Tail Probabilities for the Single-Server Queue
Nonparametric Estimation Tail Probabilities Single-Server Queue
2015/7/8
We consider the estimation of tail probabilities in queues via the nonparametric estimator constructed by simple computing the observed fraction of time that the queue is out in the tail. We show that...
On the Maximum Workload of a Queue Fed by Fractional Brownian Motion
Long-range dependence queues fractional Brownian motion extreme values
2015/7/8
Consider a queue with a stochastic fluid input process modeled as fractional Brownian motion (fBM). When the queue is stable, we prove that the maximum of the workload process observed over an interva...
Heavy traffic limit theorems for a queue with Poisson ON/OFF long-range dependent sources and general service time distribution
reflecting fractional Brownian motion reflecting Gaussian process longrange dependence queueing process weak convergence
2011/6/21
In Internet environment, traffic flow to a link is typically modeled by superposition of
ON/OFF based sources. During each ON-period for a particular source, packets arrive
according to a Poisson pr...
The M-G-1 retrial queue：An information theoretic approach
Principle of maximum entropy M-G-1 retrial queue limiting distribution busy period waiting time
2009/2/23
In this paper, we give a survey of the use of information theoretic techniques for the estimation of the main performance characteristics of the M/G/1 retrial queue. We focus on the limiting distribut...