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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...
Parametric Estimation of Tail Probabilities for the Single-Server Queue
Parametric Estimation Tail Probabilities Single-Server Queue
2015/7/8
In this chapter, we consider the question of how long the arrival process to the single-server queue needs to be observed in order to accurately estimate the long-run fraction of time that the workloa...
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
Convexity of Workload Autocorrelation Independent Increment Input Probability
2011/8/26
Abstract: We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the power of the...
A single server queue with additional optional service in batches and server vacation
Optional batch service steady state equations queue length
2010/9/14
A single server infinite capacity queueing system with Poisson arrival and exponential service time distribution along with second optional service in batches is considered. As soon as the server beco...
