Search Results - "Simonian, Alain"
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Mobility can drastically improve the heavy traffic performance from $$\frac{1}{1-\varrho }$$ to $$\log (1/(1-\varrho ))
Published in Queueing systems (01-06-2020)Get full text
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2
Mobility can drastically improve the heavy traffic performance from 1/(1-rho) to log(1/(1-rho))
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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3
Asymptotic analysis of the sojourn time of a batch in a M [X]/M/1 processor sharing queue
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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4
Mobility can drastically improve the heavy traffic performance from 11-ϱ to log(1/(1-ϱ))
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 -
5
A new linear inversion formula for a class of hypergeometric polynomials
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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6
Stationary analysis of the "Shortest Queue First" service policy: The asymmetric case
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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Experimental analysis of caching efficiency for YouTube traffic in an ISP network
Published in Proceedings of the 2013 25th International Teletraffic Congress (ITC) (01-09-2013)“…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
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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Performance evaluation of the random replacement policy for networks of caches
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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10
Singular perturbation for a two-class processor-sharing queue with impatience
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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11
Batch sojourn time in the processor sharing queue with geometric batch size
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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Sojourn time in a Processor Sharing queue with batch arrivals
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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13
Cache Miss Estimation for Non-Stationary Request Processes
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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14
Mobility can drastically improve the heavy traffic performance from 1/(1-rho) to -log(1-rho)
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…”
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15
Impact of Mobility in Dense LTE-A Networks with Small Cells
Published in 2015 IEEE 81st Vehicular Technology Conference (VTC Spring) (01-05-2015)“…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
Inversion of a Class of Singular Integral Operators on Entire Functions
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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17
A New Linear Inversion Formula for a class of Hypergeometric polynomials
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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Asymptotic analysis of the sojourn time of a batch in an $M^{[X]}/M/1$ Processor Sharing Queue
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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19
User Performance in Small Cells Networks with Inter-Cell Mobility
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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Performance of URLLC Traffic Scheduling Policies with Redundancy
Published in 2020 32nd International Teletraffic Congress (ITC 32) (01-09-2020)“…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