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Heavy loads and heavy tails (Q6135887)

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scientific article; zbMATH DE number 7732043

Language	Label	Description	Also known as
English	Heavy loads and heavy tails	scientific article; zbMATH DE number 7732043

Statements

scholarly article

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Heavy loads and heavy tails (English)

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Indagationes Mathematicae. New Series

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publication date

28 August 2023

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full work available at URL

https://arxiv.org/abs/2304.09279

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zbMATH Keywords

heavy-tailed distributions

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heavy-traffic limit

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tail asymptotics

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MaRDI profile type

MaRDI publication profile

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On a reduced load equivalence for fluid queues under subexponentiality

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Queue length asymptotics for the multiple-server queue with heavy-tailed Weibull service times

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Sample path large deviations for Lévy processes and random walks with Weibull increments

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Fluid queues and regular variation

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Heavy-traffic analysis for the GI/G/1 queue with heavy-tailed distributions

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Waiting-time asymptotics for the M/G/2 queue with heterogeneous servers

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The M / G /1 queue with two service speeds

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Efficient Rare-Event Simulation for Multiple Jump Events in Regularly Varying Random Walks and Compound Poisson Processes

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Some results on regular variation for distributions in queueing and fluctuation theory

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A heavy-traffic theorem for the GI/G/1 queue with a Pareto-type service time distribution

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Estimates for the probability of ruin with special emphasis on the possibility of large claims

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Heavy tails in multi-server queue

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On Large Delays in Multi-Server Queues with Heavy Tails

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An Introduction to Heavy-Tailed and Subexponential Distributions

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Two-node fluid network with a heavy-tailed random input: the strong stability case

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Asymptotic results for multiplexing subexponential on-off processes

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Asymptotic analysis of Lévy-driven tandem queues

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Overflow behavior in queues with many long-tailed inputs

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The Fundamentals of Heavy Tails

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On the tails of waiting-time distributions

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A Heavy Traffic Approximation for Workload Processes with Heavy Tailed Service Requirements

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Asymptotic behaviour of Wiener-Hopf factors of a random walk

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The impact of a heavy-tailed service-time distribution upon the \(\text{M}/\text{GI}/s\) waiting-time distribution

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Stochastic-Process Limits

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Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements

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Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows.

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Identifiers

zbMATH Open document ID

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10.1016/j.indag.2023.04.003

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6135887

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