Large deviations for a simple closed queueing model

DOI10.1007/BF01153524zbMath0787.60114MaRDI QIDQ688643

Robert Sh. Liptser

Publication date: 19 May 1994

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

heavy trafficlarge deviation principlequeueing modelergodic propertiesFenchel-Legendre transform

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10)

Related Items (1)

Large deviation analysis of the single server queue

Cites Work

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• Gaussian diffusion approximation of closed Markov models of computer networks
• Large deviation principle for diffusion processes
• Stochastic differential equations with reflecting boundary condition in convex regions
• Large deviations for Markov processes with discontinuous statistics. I: General upper bounds
• Large deviations for Markov processes with discontinuous statistics. II: Random walks
• Action functional for diffusions in discontinuous media
• Stopping times and tightness
• Some generalizations of wentzell's lower estimates on large deviations
• Limit theorems on large deviations for semimartingales
• Action Functional for a Diffusion Process with Discontinuous Drift
• Probability Theory III
• Asymptotic probabilities and differential equations
• Boundary-Value Problems for Random Walks and Large Deviations in Function Spaces
• Convex Analysis
• Large deviations for processes with independent increments
• An introduction to the theory of large deviations
• An extension of the ventcel- freidlin large deviation principle

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