Search Results - "Simonian, Alain"

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    Mobility can drastically improve the heavy traffic performance from 1/(1-rho) to log(1/(1-rho)) by Simatos, Florian, Simonian, Alain

    Published in Queueing systems (01-06-2020)
    “…We study a model of wireless networks where users move at speed θ ≥ 0, which has the original feature of being defined through a fixed-point equation. Namely,…”
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    Journal Article
  3. 3

    Asymptotic analysis of the sojourn time of a batch in a M [X]/M/1 processor sharing queue by Guillemin, Fabrice, Simonian, Alain, Nasri, Ridha, Rodriguez, Veronica Quintuna

    Published in Stochastic models (01-11-2024)
    “…In this article, we exploit recent results for the Laplace transform of the sojourn time Ω of an entire batch in the M [ X ] / M / 1 processor sharing queue in…”
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    Journal Article
  4. 4

    Mobility can drastically improve the heavy traffic performance from 11-ϱ to log(1/(1-ϱ)) by Simatos, Florian, Simonian, Alain

    Published in Queueing systems (01-06-2020)
    “…We study a model of wireless networks where users move at speed θ ≥ 0 , which has the original feature of being defined through a fixed-point equation. Namely,…”
    Get full text
    Journal Article
  5. 5

    A new linear inversion formula for a class of hypergeometric polynomials by Nasri, Ridha, Simonian, Alain, Guillemin, Fabrice

    Published in Integral transforms and special functions (02-09-2021)
    “…Given complex parameters x, ν, α, β and , consider the infinite lower triangular matrix with elements for , depending on the Hypergeometric polynomials , …”
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    Journal Article
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    Stationary analysis of the "Shortest Queue First" service policy: The asymmetric case by Guillemin, Fabrice, Simonian, Alain

    Published in Stochastic models (03-04-2017)
    “…The Shortest Queue First service discipline is analyzed for two asymmetric queues. For Poisson job arrivals and exponentially distributed service times, we…”
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    Journal Article
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    Experimental analysis of caching efficiency for YouTube traffic in an ISP network by Guillemin, Fabrice, Kauffmann, Bruno, Moteau, Stephanie, Simonian, Alain

    “…In this paper, we report YouTube traffic measurements from Orange IP backbone network connecting residential customers. We exhibit its salient features in…”
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    Conference Proceeding
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    Stationary analysis of the shortest queue first service policy by Guillemin, Fabrice, Simonian, Alain

    Published in Queueing systems (01-08-2014)
    “…We analyze the so-called shortest queue first (SQF) queueing discipline whereby a unique server addresses queues in parallel by serving at any time, the queue…”
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    Journal Article
  9. 9

    Performance evaluation of the random replacement policy for networks of caches by Gallo, Massimo, Kauffmann, Bruno, Muscariello, Luca, Simonian, Alain, Tanguy, Christian

    Published in Performance evaluation (01-02-2014)
    “…The overall performance of content distribution networks as well as recently proposed information-centric networks rely on both memory and bandwidth…”
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    Journal Article
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    Singular perturbation for a two-class processor-sharing queue with impatience by Nasri, R., Simatos, F., Simonian, A.

    Published in Stochastic models (03-07-2023)
    “…A two-class Processor-Sharing queue with one impatient class is studied. Local exponential decay rates for its stationary distribution are established in the…”
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    Journal Article
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    Batch sojourn time in the processor sharing queue with geometric batch size by Guillemin, Fabrice, Simonian, Alain, Nasri, Ridha, Quintuna Rodriguez, Veronica

    Published in Stochastic models (2021)
    “…In this paper, we analyze the sojourn time of an entire batch in a processor sharing queue, where geometrically distributed batches arrive according to a…”
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    Journal Article
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    Sojourn time in a Processor Sharing queue with batch arrivals by Guillemin, Fabrice, Quintuna Rodriguez, Veronika Karina, Simonian, Alain

    Published in Stochastic models (03-07-2018)
    “…For the Processor Sharing queue with batch job arrivals, the sojourn time W of a single job is investigated. This queuing model is motivated by the evaluation…”
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    Journal Article
  13. 13

    Cache Miss Estimation for Non-Stationary Request Processes by Olmos, Felipe, Graham, Carl, Simonian, Alain

    Published in Stochastic systems (01-03-2018)
    “…The goal of the paper is to evaluate the miss probability of a Least Recently Used (LRU) cache, when it is offered a non-stationary request process given by a…”
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    Journal Article
  14. 14

    Mobility can drastically improve the heavy traffic performance from 1/(1-rho) to -log(1-rho) by Simatos, Florian, Simonian, Alain

    Published 10-09-2019
    “…We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we…”
    Get full text
    Journal Article
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    Impact of Mobility in Dense LTE-A Networks with Small Cells by Baynat, B., Indre, R.-M, Nya, N., Olivier, P., Simonian, A.

    “…In this paper, we investigate the impact of mobility on user performance in the context of dense LTE-A networks. To this end, we propose simple analytical…”
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    Conference Proceeding
  16. 16

    Inversion of a Class of Singular Integral Operators on Entire Functions by Nasri, Ridha, Simonian, Alain, Guillemin, Fabrice

    Published 04-01-2021
    “…Given constants $x, \nu \in \mathbb{C}$ and the space $\mathscr{H}_0$ of entire functions in $\mathbb{C}$ vanishing at $0$, we consider the…”
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    Journal Article
  17. 17

    A New Linear Inversion Formula for a class of Hypergeometric polynomials by Nasri, Ridha, Simonian, Alain, Guillemin, Fabrice

    Published 05-07-2020
    “…Given complex parameters $x$, $\nu$, $\alpha$, $\beta$ and $\gamma \notin -\mathbb{N}$, consider the infinite lower triangular matrix $\mathbf{A}(x,\nu;\alpha,…”
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    Journal Article
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    Asymptotic analysis of the sojourn time of a batch in an $M^{[X]}/M/1$ Processor Sharing Queue by Guillemin, Fabrice, Simonian, Alain, Nasri, Ridha, Rodriguez, Veronica Quintuna

    Published 19-04-2021
    “…In this paper, we exploit results obtained in an earlier study for the Laplace transform of the sojourn time $\Omega$ of an entire batch in the $M^{[X]}/M/1$…”
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    Journal Article
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    User Performance in Small Cells Networks with Inter-Cell Mobility by Olivier, Philippe, Simonian, Alain

    Published 26-05-2016
    “…We analyze the impact of intra-cell mobility on user performance in dense networks such as that enabled by LTE-A and 5G. To this end, we consider a homogeneous…”
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    Journal Article
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    Performance of URLLC Traffic Scheduling Policies with Redundancy by Chagdali, Abdellatif, Elayoubi, Salah Eddine, Masucci, Antonia Maria, Simonian, Alain

    “…In this paper, we study the performance of packet scheduling schemes for Ultra-Reliable Low-Latency Communications (URLLC) services. In order to ensure a low…”
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    Conference Proceeding