Rare event asymptotics for a random walk in the quarter plane
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Publication:622613
DOI10.1007/s11134-010-9197-7zbMath1210.60100OpenAlexW2110840677MaRDI QIDQ622613
Fabrice M. Guillemin, Johan S. H. van Leeuwaarden
Publication date: 3 February 2011
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11134-010-9197-7
rare eventsboundary value problemslarge deviationssingularity analysisqueuing theorytail decay raterandom walks in the quarter plane
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Cites Work
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- Walks in the quarter plane: Kreweras' algebraic model
- Exact asymptotics for the stationary distribution of a Markov chain: a production model
- A tandem queueing model with coupled processors.
- Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process
- Large deviations of a modified Jackson network: stability and rough asymptotics
- Bridges and networks: exact asymptotics
- Join the shortest queue: Stability and exact asymptotics
- A tandem queue with coupled processors: Computational issues
- GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES
- Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks
- Two Parallel Queues Created by Arrivals with Two Demands I
- The Longer Queue Model
- Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
- Multiaccess, Reservations & Queues
- Two coupled processors: The reduction to a Riemann-Hilbert problem
- The stationary tail asymptotics in the GI/G/1-type queue with countably many background states
- Analysis of generalized processor-sharing systems with two classes of customers and exponential services
- SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES
- Large deviations for Markov chains in the positive quadrant
- On the Effect of Finite Buffer Truncation in a Two-Node Jackson Network
- A Retrial Queue with a Constant Retrial Rate, Server Downs and Impatient Customers
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