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- R. Núñez Queija
- Annals OR
- 2002

For the GGGG1 queue with First-Come First-Served, it is well known that the tail of the sojourn time distribution is heavier than the tail of the service requirement distribution when the latter has a regularly varying tail. In contrast, for the MMGG1 queue with Processor Sharing, Zwart and Boxma 26 showed that under the same assumptions on the service… (More)

- Sem C. Borst, R. Núñez Queija, Bert Zwart
- Queueing Syst.
- 2006

Over the past few decades, the Processor-Sharing (PS) discipline has attracted a great deal of attention in the queueing literature. While the PS paradigm emerged in the sixties as an idealization of round-robin scheduling in timeshared computer systems, it has recently captured renewed interest as a useful concept for modeling the flow-level performance of… (More)

- Gijs van Kessel, R. Núñez Queija, Sem C. Borst
- Proceedings IEEE 24th Annual Joint Conference of…
- 2005

We consider a multi-class queueing system operating under the discriminatory processor-sharing (DPS) discipline. The DPS discipline provides a natural approach for modeling the flow-level performance of differentiated bandwidth-sharing mechanisms. Motivated by the extreme diversity in flow sizes observed in the Internet, we examine the system performance in… (More)

- R. Núñez Queija, Balakrishna J. Prabhu
- 2008 16th Interntional Workshop on Quality of…
- 2008

In this paper we obtain the scaling law for the mean broadcast time of a file in a P2P network with an initial population of N nodes. In the model, at Poisson rate lambda a node initiates a contact with another node chosen uniformly at random. This contact is said to be successful if the contacted node possesses the file, in which case the initiator… (More)

- Onno J. Boxma, Serguei Foss, Jean-Marc Lasgouttes, R. Núñez Queija
- Queueing Syst.
- 2004

We consider the single server queue with service in random order. For a large class of heavy-tailed service time distributions, we determine the asymptotic behavior of the waiting time distribution. For the special case of Poisson arrivals and regularly varying service time distribution with index −ν, it is shown that the waiting time distribution is also… (More)

- Eitan Altman, Tania Jiménez, R. Núñez Queija
- Perform. Eval.
- 2002

Many mathematical models exist for describing the behavior of TCP/IP under an exogenous loss process that does not depend on the window size. The goal of this paper is to present a mathematical analysis of two asymmetric competing TCP connections where loss probabilities are directly related to their instantaneous window size, and occur when the sum of… (More)

- R. Núñez Queija, Joachim van den Berg, M.R.H. Mandjes, R. Núñez Queija, Michel Mandjes
- 1999

This paper deals with the integration of ‘stream’ traffic and ‘elastic’ traffic in one single network, e.g. an ATMbased or an IP-based network. Here stream traffic refers to traffic with a certain bandwidth guarantee, whereas elastic traffic flows can adapt their rates to the link bandwidth left over by the stream flows. First, models are developed that… (More)

- Konstantin Avrachenkov, Urtzi Ayesta, Patrick Brown, R. Núñez Queija
- Proceedings IEEE 24th Annual Joint Conference of…
- 2005

As a natural multi-class generalization of the well-known (egalitarian) processor sharing (PS) service discipline, discriminatory processor sharing (DPS) is of great interest in many application areas, including telecommunications. Under DPS, the mean response time conditional on the service requirement is only known in closed form when all classes have… (More)

- Eitan Altman, Konstantin Avrachenkov, Chadi Barakat, R. Núñez Queija
- INFOCOM
- 2001

We study in this paper a TCP-like linear-increase multiplicative-decrease flow control mechanism. We consider congestion signals that arrive in batches according to a Poisson process. We focus on the case when the transmission rate cannot exceed a certain maximum value. We write the Kolmogorov equations and we use Laplace Transforms to calculate the… (More)

- Sem C. Borst, Onno J. Boxma, R. Núñez Queija, A. P. Zwart
- Perform. Eval.
- 2003

This paper surveys the M/G/1 queue with regularly varying service requirement distribution. It studies the effect of the service discipline on the tail behavior of the waiting-time and/or sojourn-time distribution, demonstrating that different disciplines lead to quite different tail behavior. The orientation of the paper is methodological: We outline four… (More)