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math.PR2011
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
F. Baccelli, D. Veitch
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 po…
math.PR2011
Poisson Hail on a Hot Ground
Francois Baccelli, Sergey Foss
We consider a queue where the server is the Euclidean space, and the customers are random closed sets (RACS) of the Euclidean space. These RACS arrive according to a Poisson rain a…