Search Results - "Guillemin, Fabrice"

Conditional Sojourn times and the volatility of payment schemes for bandwidth sharing in packet networks by Guillemin, Fabrice M., Mazumdar, Ravi R.

“…Predictability of revenue and costs to both operators and users is critical for payment schemes. We study the issue of the design of payment schemes in…”
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Rare event asymptotics for a random walk in the quarter plane by Guillemin, Fabrice, van Leeuwaarden, Johan S. H.

“…This paper presents a novel technique for deriving asymptotic expressions for the occurrence of rare events for a random walk in the quarter plane. In…”
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Boundary behavior and product-form stationary distributions of jump diffusions in the orthant with state-dependent reflections by Piera, Francisco J., Mazumdar, Ravi R., Guillemin, Fabrice M.

“…In this paper we consider reflected diffusions with positive and negative jumps, constrained to lie in the nonnegative orthant of ℝ n . We allow for the drift…”
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Container placement and migration strategies for cloud, fog, and edge data centers: A survey by Kaur, Kiranpreet, Guillemin, Fabrice, Sailhan, Francoise

“…Summary The last decade has witnessed important development of network softwarization that has revolutionized the practice of networks. Virtualized networks…”
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Performance of a trunk reservation policy in distributed data centres by Guillemin, Fabrice, Thompson, Guilherme

“…In this paper, we analyse a system composed of two data centres with limited capacity in terms of computing (namely virtual cores). When one request for a…”
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Dynamic Migration of Microservices for End-to-End Latency Control in 5G/6G Networks by Kaur, Kiranpreet, Guillemin, Fabrice, Sailhan, Francoise

“…With the adoption of the microservice paradigm by the telecom industry in the design of 5G/6G networks, complex network functions are decomposed into sets of…”
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Cloud-RAN Modeling Based on Parallel Processing by Quintuna Rodriguez, Veronica, Guillemin, Fabrice

“…We consider in this paper the implementation of a cloud radio access network (C-RAN) on a centralized multicore system supporting the base band processing of…”
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Dynamic migration of microservices for end-to-end latency control in 5G/6G network by Kaur, Kiranpreet, Guillemin, Fabrice, Sailhan, Francoise

“…With the adoption of the microservice paradigm by the telecom industry in the design of 5G/6G networks, complex network functions are decomposed into sets of…”
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Existence and characterization of product-form invariant distributions for state-dependent stochastic networks in the heavy-traffic diffusion limit by Piera, Francisco J., Mazumdar, Ravi R., Guillemin, Fabrice M.

“…We consider state-dependent stochastic networks in the heavy-traffic diffusion limit represented by reflected jump-diffusions in the orthant ℝ + n with…”
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On the sojourn of an arbitrary customer in an M/M/1 Processor Sharing Queue by Guillemin, Fabrice, Rodriguez, Veronica Quintuna

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On the sojourn of an arbitrary customer in an Processor Sharing Queue by Guillemin, Fabrice, Rodriguez, Veronica Quintuna

“…In this paper, we consider the number of departures seen by a tagged customer while in service in a classical processor sharing queue. By exploiting the…”
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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

“…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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Sojourn time in an M/M/1 processor sharing queue with permanent customers by Guillemin, Fabrice, Slim, Farah

“…We explicitly compute the sojourn time distribution of an arbitrary customer in an M/M/1 processor sharing (PS) queue with permanent customers. We notably…”
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A new linear inversion formula for a class of hypergeometric polynomials by Nasri, Ridha, Simonian, Alain, Guillemin, Fabrice

“…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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A Survey of Quantum Entanglement Routing Protocols—Challenges for Wide‐Area Networks by Dupuy, Fabrice, Goursaud, Claire, Guillemin, Fabrice

“…In this paper, the key challenges (loss due to distance, entanglement routing, multi‐commodities) for the coming quantum internet, relying on entanglement of…”
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A Microservice Migration Approach to Controlling Latency in 5G/6G Networks by Kaur, Kiranpreet, Guillemin, Fabrice, Sailhan, Francoise

“…The microservice paradigm is widely adopted in the design of Virtualized Network Functions (VNFs). Still, 5G/6G networks require to carefully orchestrate the…”
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A Stochastic Ordering Property for Leaky Bucket Regulated Flows in Packet Networks by Guillemin, Fabrice M., Mazumdar, Ravi R., Rosenberg, Catherine P., Ying, Yu

“…We show in this paper that if a stationary traffic source is regulated by a leaky bucket with leak rate ρ and bucket size σ, then the amount of information…”
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Stationary analysis of the "Shortest Queue First" service policy: The asymmetric case by Guillemin, Fabrice, Simonian, Alain

“…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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Volume and duration of losses in finite buffer fluid queues by Guillemin, Fabrice, Sericola, Bruno

“…We study congestion periods in a finite fluid buffer when the net input rate depends upon a recurrent Markov process; congestion occurs when the buffer content…”
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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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