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We study the estimation of tail probabilities in a queue via a semi-parametric estimator based on the maximum value of the workload, observed over the sampled time interval. Logarithmic consistency an...
Queues with breakdowns and customer discouragement      Queues with breakdowns  customer discouragement        font style='font-size:12px;'> 2009/9/23
This paper considers an M/M/I queue with service breakdowns and customer discouragement. Each of the customers present in the system at the time of a breakdown may become discouraged and leave with...
Asymptotic stationarity of tandem of queues      Asymptotic stationarity  tandem  queues        font style='font-size:12px;'> 2009/9/22
In [12] it was proved that the process of waiting times for single server queues is asymptotically stationary if (1) a generic process X = (Xkk, 2 1) is asymptotically stationary, (2) X satisfies c...
The paper studies G/G/l queues with heavy-tailed probability distributions of the service times and/or the interarrival times. It relies on the fact that the heavy traffic limiting distribution of t...
Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to characterize the heavy traffic limiting distribution of normalized stationary waiting times of G/G/l queue...

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