Queueing system with pre-scheduled random arrivals
نویسنده
چکیده
We consider a point process obtained summing to each point i of the set of the integer Z an i.i.d random variable ξi having a variance that can be also much larger than 1. We compare the process obtained with this construction with the standard Poisson process, and we show that in some sense our process tends to converge for large variance of ξ to the Poisson process in total variation. We then consider analytically and numerically a simple queueing system having our process as arrival process. This model is motivated by the study of air traffic systems.
منابع مشابه
Queueing systems with pre-scheduled random arrivals
We consider a point process i + ξi, where i ∈ Z and the ξi’s are i.i.d. random variables with variance σ. This process, with a suitable rescaling of the distribution of ξi’s, converges to the Poisson process in total variation for large σ. We then study a simple queueing system with our process as arrival process, and we provide a complete analytical description of the system. Although the arri...
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