Block-Structured Fluid Queues Driven by QBD Processes

DOI10.1080/SAP-200044451zbMath1091.60030MaRDI QIDQ5707902

Yiqiang Q. Zhao, Quan-Lin Li

Publication date: 25 November 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stochastic environmentRG-factorizationpassage time distributionstationary buffer content

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Inventory, storage, reservoirs (90B05) Processes in random environments (60K37)

Related Items (6)

Fluid queue driven by a multi-server queue with multiple vacations and vacation interruption ⋮ Performance analysis of a fluid flow system modulated by a single server queue prone to catastrophic failures and repairs ⋮ Stationary analysis for the fluid model driven by the \({\mathrm{M}/\mathrm{M}/c}\) working vacation queue ⋮ Fluid model modulated by an \(\mathrm{M}/\mathrm{M}/1\) working vacation queue with negative customer ⋮ Fluid model driven by an \(\mathrm{M}/\mathrm{M}/1\) queue with multiple vacations and \(N\)-policy ⋮ Random walk, birth-and-death process and their fluid approximations: Absorbing case

Cites Work

• Unnamed Item
• Fluid queue driven by a GI/GI/1 queue
• A fluid queue driven by a Markovian queue
• Fluid queue driven by an \(M/M/1\) queue
• Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
• An M/M/1 driven fluid queue -- continued fraction approach
• Mean first passage times in fluid queues
• Simple analysis of a fluid queue driven by an \(M/M/1\) queue
• Distribution of busy period in stochastic fluid models1
• Equilibrium distribution of block-structured Markov chains with repeating rows
• Analysis of separable Markov-modulated rate models for information-handling systems
• Stochastic theory of a fluid model of producers and consumers coupled by a buffer
• A Fluid Reservoir Regulated by a Birth-Death Process
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Stationary distributions for fluid flow models with or without brownian noise
• Fluid Flow Models and Queues—A Connection by Stochastic Coupling
• STOCHASTIC DISCRETIZATION FOR THE LONG-RUN AVERAGE REWARD IN FLUID MODELS
• β-Invariant Measures for Transition Matrices of GI/M/1 Type
• Second-Order Fluid Flow Models: Reflected Brownian Motion in a Random Environment
• Markov-modulated traffic with nearly complete decomposability characteristics and associated fluid queueing models
• Symmetric Wiener-Hopf factorisations in Markov additive processes
• A computational approach for fluid queues driven by truncated birth-death processes

This page was built for publication: Block-Structured Fluid Queues Driven by QBD Processes