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- Phuoc Tran-Gia, Michel Mandjes
- IEEE Journal on Selected Areas in Communications
- 1997

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)

- Michel Mandjes, Bert Zwart
- Queueing Syst.
- 2006

This paper presents a large deviation analysis of the steady-state sojourn time distribution in the GI/G/1 PS queue. Logarithmic estimates are obtained under the assumption of the service time distribution having a light tail, thus supplementing recent results for the heavy-tailed setting. Our proof gives insight in the way a large sojourn time occurs,… (More)

The asymptotic decay rate of the sojourn time of a customer in the stationary M/G/1 queue under the Foreground-Background (FB) service discipline is studied. The FB discipline gives service to those customers that have received the least service so far. We prove that for light-tailed service times the decay rate of the sojourn time is equal to the decay… (More)

- Michel Mandjes
- 2002

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)

- Michel Mandjes
- INFOCOM
- 2003

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)

- Krishnan Kumaran, Michel Mandjes
- INFOCOM
- 2001

The main network solutions for supporting QoS rely on traffic policing (conditioning, shaping). In particular, for IP networks the IETF has developed Intserv (individual flows regulated) and Diffserv (only aggregates regulated). The regulator proposed could be based on the (dual) leaky-bucket mechanism. This explains the interest in network element… (More)

- Michel Mandjes, Debasis Mitra, Werner R. W. Scheinhardt
- Queueing Syst.
- 2003

- Urtzi Ayesta, Michel Mandjes
- Annals OR
- 2009

This paper considers networks operating under α-fair bandwidth sharing. When imposing a peak rate (i.e., an upper bound on the users' transmission rates, which could be thought of as access rates), the equilibrium point of the uid limit is explicitly identi ed, for both the single-node network as well as the linear network. More speci cally, a criterion is… (More)

- Michel Mandjes, Jeong Han Kim
- Queueing Syst.
- 2001

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)