Fluid Flow Models and Queues—A Connection by Stochastic Coupling

DOI10.1081/STM-120023564zbMath1021.60073OpenAlexW2169002003WikidataQ56778769 ScholiaQ56778769MaRDI QIDQ4414369

Soohan Ahn, Vaidyanathan Ramaswami

Publication date: 24 July 2003

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-120023564

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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Cites Work

• Unnamed Item
• Fluid and diffusion limits for queues in slowly changing environments
• A duality theorem for the matrix paradigms in queueing theory
• Regenerative Analysis and Steady State Distributions for Markov Chains
• A note on two matrices occurring in the solution of quasi-birth-and-death processes
• Stationary state probabilities at arrival instants for closed queueing networks with multiple types of customers
• Poisson Arrivals See Time Averages
• A Storage Model with a Two-State Random Environment
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• A logarithmic reduction algorithm for quasi-birth-death processes
• Stationary distributions for fluid flow models with or without brownian noise
• Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory
• A two-level traffic shaper for an on–off source
• Markov renewal theory

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