Single-server queues under overdispersion in the heavy-traffic regime
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Publication:4994069
DOI10.1080/15326349.2020.1840394zbMath1469.60282arXiv1912.05279OpenAlexW3097366787MaRDI QIDQ4994069
M. Heemskerk, M. R. H. Mandjes, Onno J. Boxma
Publication date: 14 June 2021
Published in: Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05279
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Cites Work
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- Markov-modulated \(\mathrm{M}/\mathrm{G}/1\)-type queue in heavy traffic and its application to time-sharing disciplines
- Markov-modulated queueing systems
- Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment
- The heavy traffic limit of a class of Markovian queueing models
- Waiting-time tail probabilities in queues with long-tail service-time distributions
- Networks of \(\cdot /\mathrm{G}/\infty \) queues with shot-noise-driven arrival intensities
- The single server queue with mixing dependencies
- Explicit ruin formulas for models with dependence among risks
- Queues and Lévy fluctuation theory
- Stochastic-Process Limits
- Capacity Sizing Under Parameter Uncertainty: Safety Staffing Principles Revisited
- Ruin probabilities and aggregrate claims distributions for shot noise Cox processes
- An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals
- The Queue M|G|1 with Markov Modulated Arrivals and Services
- Introduction to Matrix Analytic Methods in Stochastic Modeling
- Modeling service–time distributions with non–exponential tails:beta mixtures of exponentials
- A logarithmic reduction algorithm for quasi-birth-death processes
- Infinite-server queues with Hawkes input
- Occupation times of alternating renewal processes with Lévy applications
- Efficient simulation of tail probabilities in a queueing model with heterogeneous servers
- Applied Probability and Queues
- Managing uncertainty in call centres using Poisson mixtures
- Large deviations and overflow probabilities for the general single-server queue, with applications
- Queues Driven by Hawkes Processes
- A ruin model with a resampled environment
- A Unified Approach to the Heavy-Traffic Analysis of the Maximum of Random Walks
- STABILIZING PERFORMANCE IN NETWORKS OF QUEUES WITH TIME-VARYING ARRIVAL RATES
- Scaling limits for infinite-server systems in a random environment
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