Fluid models for single buffer systems
Frontiers in queueing
Transient analysis of stochastic fluid models
Performance Evaluation
Models of Network Access Using Feedback Fluid Queues
Queueing Systems: Theory and Applications
On An Equivalence Between Loss Rates And Cycle Maxima In Queues And Dams
Probability in the Engineering and Informational Sciences
Matrix-analytic methods for fluid queues with finite buffers
Performance Evaluation
On the Doubling Algorithm for a (Shifted) Nonsymmetric Algebraic Riccati Equation
SIAM Journal on Matrix Analysis and Applications
Hitting probabilities and hitting times for stochastic fluid flows: The bounded model
Probability in the Engineering and Informational Sciences
Loss Rates for Lévy Processes with Two Reflecting Barriers
Mathematics of Operations Research
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We introduce loss rates, a novel class of performance measures for Markovian stochastic fluid models and discuss their applications potential. We derive analytical expressions for loss rates and describe efficient methods for their evaluation. Further, we study interesting asymptotic properties of loss rates for large size of the buffer, which are crucial for identifying the Quality of Service requirements guaranteed for each user. We illustrate the theory with a numerical example.