Heavy loads and heavy tails
From MaRDI portal
Publication:6135887
DOI10.1016/j.indag.2023.04.003zbMath1524.60228arXiv2304.09279OpenAlexW4376866278MaRDI QIDQ6135887
Publication date: 28 August 2023
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.09279
Extreme value theory; extremal stochastic processes (60G70) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements
- Asymptotic analysis of Lévy-driven tandem queues
- Estimates for the probability of ruin with special emphasis on the possibility of large claims
- Asymptotic behaviour of Wiener-Hopf factors of a random walk
- A heavy-traffic theorem for the GI/G/1 queue with a Pareto-type service time distribution
- Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows.
- On a reduced load equivalence for fluid queues under subexponentiality
- Heavy-traffic analysis for the GI/G/1 queue with heavy-tailed distributions
- Sample path large deviations for Lévy processes and random walks with Weibull increments
- Queue length asymptotics for the multiple-server queue with heavy-tailed Weibull service times
- Heavy tails in multi-server queue
- Overflow behavior in queues with many long-tailed inputs
- The M / G /1 queue with two service speeds
- Stochastic-Process Limits
- On Large Delays in Multi-Server Queues with Heavy Tails
- A Heavy Traffic Approximation for Workload Processes with Heavy Tailed Service Requirements
- Fluid queues and regular variation
- On the tails of waiting-time distributions
- Asymptotic results for multiplexing subexponential on-off processes
- An Introduction to Heavy-Tailed and Subexponential Distributions
- The Fundamentals of Heavy Tails
- Efficient Rare-Event Simulation for Multiple Jump Events in Regularly Varying Random Walks and Compound Poisson Processes
- Two-node fluid network with a heavy-tailed random input: the strong stability case
- Some results on regular variation for distributions in queueing and fluctuation theory
- The impact of a heavy-tailed service-time distribution upon the \(\text{M}/\text{GI}/s\) waiting-time distribution
- Waiting-time asymptotics for the M/G/2 queue with heterogeneous servers
This page was built for publication: Heavy loads and heavy tails