Michel Mandjes

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In the planning of modern cellular mobile communication systems customer behavior has to be carefully taken into account In this paper two models dealing with the call retrial phenomenon are presented The rst model considers a base station with a nite customer population and repeated attempts A Markov chain modeling is proposed and a recursive solution of(More)
In this paper we consider a queue fed by a large number n of independent continuous time Gaussian processes with stationary increments After scaling the bu er exceedance threshold B and the constant service capacity C by the number of sources i e B nb and C nc we present asymptotically exact results for the probability that the bu er threshold is exceeded(More)
We consider a queue fed by a large number, say n, on–off sources with generally distributed onand off-times+ The queueing resources are scaled by n: The buffer is B[nb and the link rate is C[nc+The model is versatile+ It allows one to model both long-range-dependent traffic ~by using heavy-tailed on-periods! and short-rangedependent traffic ~by using(More)
This paper analyzes a communication network with heterogeneous customers. We investigate priority queueing as a way to differentiate between these users. Customers join the network as long as their utility (which is a function of the queueing delay) is larger than the price of the service. We focus on the specific situation in which two types of users play(More)
This article focuses on a queue fed by a large number of ‘semi-Markov modulated fluid sources’, e.g., on/off sources with on and off-times that have general distributions. The asymptotic regime is considered in which the number of sources grows large, and the buffer and link rate are scaled accordingly. We aim at characterizing the exponential decay rate of(More)