Queueing Systems: Theory and Applications
Transient and stationary distributions for fluid queues and input processes with a density
SIAM Journal on Applied Mathematics
A fluid queue driven by a Markovian queue
Queueing Systems: Theory and Applications
A Finite Buffer Fluid Queue Driven by a Markovian Queue
Queueing Systems: Theory and Applications
Steady State Analysis of Finite Fluid Flow Models Using Finite QBDs
Queueing Systems: Theory and Applications
Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier
Queueing Systems: Theory and Applications
Hitting probabilities and hitting times for stochastic fluid flows: The bounded model
Probability in the Engineering and Informational Sciences
Short communication: Uniqueness of asymptotic solution for general Markov fluid models
Performance Evaluation
Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer
Queueing Systems: Theory and Applications
A fluid queue modulated by two independent birth-death processes
Computers & Mathematics with Applications
Fluid level dependent Markov fluid models with continuous zero transition
Performance Evaluation
QBD sensitivity analysis tool using discrete-event simulation and extension of SMCSolver
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Two-buffer fluid models with multiple ON-OFF inputs and threshold assistance
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Three m-failure group maintenance models for M/M/N unreliable queuing service systems
Computers and Industrial Engineering
Loss rates for stochastic fluid models
Performance Evaluation
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The application of matrix-analytic methods to the resolution of fluid queues has shown a close connection to discrete-state quasi-birth-and-death (QBD) processes. We further explore this similarity and analyze a fluid queue with finite buffer. We show, using a renewal approach, that the stationary distribution is expressed as a linear combination of two matrix-exponential terms. We briefly indicate how these terms may be computed in an efficient and numerically stable manner.