Slowing time: Markov-modulated Brownian motions with a sticky boundary
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Publication:4976519
DOI10.1080/15326349.2017.1284000zbMath1370.60138arXiv1508.00922OpenAlexW2963875034MaRDI QIDQ4976519
Publication date: 31 July 2017
Published in: Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00922
Queueing theory (aspects of probability theory) (60K25) Brownian motion (60J65) Functional limit theorems; invariance principles (60F17) Local time and additive functionals (60J55)
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Cites Work
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- The stochastic fluid-fluid model: a stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself
- Performance measures of a multi-layer Markovian fluid model
- Fluid queues with level dependent evolution
- Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
- A stochastic fluid model for an ad hoc mobile network
- Fluid approach to two-sided reflected Markov-modulated Brownian motion
- Componentwise accurate fluid queue computations using doubling algorithms
- Hitting probabilities and hitting times for stochastic fluid flows
- The parabolic differential equations and the associated semigroups of transformation
- The morphing of fluid queues into Markov-modulated Brownian motion
- Introduction to Matrix Analytic Methods in Stochastic Modeling
- Stationary distributions for fluid flow models with or without brownian noise
- A multi-dimensional martingale for Markov additive processes and its applications
- Second-order stochastic fluid models with fluid-dependent flow rates
- Weak Convergence of Probability Measures on the Function Space $C\lbrack 0, \infty)$