Markov modulated fluid network process: Tail asymptotics of the stationary distribution
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Publication:4994067
DOI10.1080/15326349.2020.1832525zbMath1469.60296arXiv1912.05177OpenAlexW3094120717MaRDI QIDQ4994067
Publication date: 14 June 2021
Published in: Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05177
networkfixed point equationfluid queuechange of measureDynkin's formulastationary inequalityMarkov modulatedtail asymptotic behavior
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- A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process
- Functional continuity and large deviations for the behavior of single-class queueing networks
- On a generic class of two-node queueing systems
- Convexity and log convexity for the spectral radius
- Non-negative matrices and Markov chains. 2nd ed
- Large deviations for Markov processes with discontinuous statistics. I: General upper bounds
- Rate conservation laws: A survey
- Stability of generalized Jackson networks
- A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines
- Large deviations and queueing networks: Methods for rate function identification
- A technique for exponential change of measure for Markov processes
- Large deviations of Jackson networks.
- On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
- Light tail asymptotics in multidimensional reflecting processes for queueing networks
- Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures
- Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process
- Large deviations for processes with discontinuous statistics
- Stochastic-Process Limits
- Stability and structural properties of stochastic storage networks
- Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
- Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations
- Martingale approach for tail asymptotic problems in the generalized Jackson network
- Applied Probability and Queues
- Large deviations for Markov chains in the positive quadrant
- Continuity of the Perron root
- Reflecting Brownian motion in two dimensions: Exact asymptotics for the stationary distribution
- Quasi-Product Forms for Lévy-Driven Fluid Networks
- NOTES ON TRANSFORMATIONS OF MARKOV PROCESSES CONNECTED WITH MULTIPLICATIVE FUNCTIONALS
- Markov-modulated feedforward fluid networks
- Explicit solutions for variational problems in the quadrant
