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Soohan Ahn, V. Ramaswami (2005)
Efficient algorithms for transient analysis of stochastic fluid flow modelsJournal of Applied Probability, 42
Michna Zbigniew, R. Igor (1995)
The expected number of level crossings for certain symmetric α-stable processes, 11
N. Bean, M. O’Reilly, P. Taylor (2005)
Hitting probabilities and hitting times for stochastic fluid flowsStochastic Processes and their Applications, 115
Soohan Ahn, V. Ramaswami (2003)
Fluid Flow Models and Queues—A Connection by Stochastic CouplingStochastic Models, 19
V. Ramaswami (2006)
Passage Times in Fluid Models with Application to Risk ProcessesMethodology and Computing in Applied Probability, 8
Soohan Ahn, J. Jeon, V. Ramaswami (2005)
Steady State Analysis of Finite Fluid Flow Models Using Finite QBDsQueueing Systems, 49
N. Bean, M. O’Reilly, P. Taylor (2005)
ALGORITHMS FOR RETURN PROBABILITIES FOR STOCHASTIC FLUID FLOWSStochastic Models, 21
J. Abate, W. Whitt (1995)
Numerical Inversion of Laplace Transforms of Probability DistributionsINFORMS J. Comput., 7
J. Abate, W. Whitt (1995)
Numerical inversion of Laplace transforms of probability distributionsORSA Journal on Computing, 7
Soohan Ahn, V. Ramaswami (2004)
Transient Analysis of Fluid Flow Models via Stochastic Coupling to a QueueStochastic Models, 20
M.-A. Remiche (2005)
Compliance of the token bucket model for Markovian type trafficStochastic Models, 21
D. Anick, D. Mitra, M. Sondhi (1982)
Stochastic theory of a data-handling system with multiple sourcesThe Bell System Technical Journal, 61
S. Asmussen (1995)
Stationary distributions for fluid flow models with or without Brownian noiseStochastic Models, 11
Soohan Ahn, A. Badescu, V. Ramaswami (2007)
Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrierQueueing Systems, 55
M. Mandjes, D. Mitra, W. Scheinhardt (2002)
Simple models of network access, with applications to the design of joint rate and admission controlProceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies, 1
L. Rogers (1994)
Fluid Models in Queueing Theory and Wiener-Hopf Factorization of Markov ChainsAnnals of Applied Probability, 4
M. Mandjes, D. Mitra, W. Scheinhardt (2003)
A simple model of network access: Feedback adaptation of rates and admission controlComputer Networks, 41
Marie-Ange Remiche (2005)
Compliance of the Token-Bucket Model with Markovian TrafficStochastic Models, 21
G. Latouche, P. Taylor (2002)
Matrix-analytic methods: theory and applications
N. Bean, M. O’Reilly, P. Taylor (2008)
HITTING PROBABILITIES AND HITTING TIMES FOR STOCHASTIC FLUID FLOWS: THE BOUNDED MODELProbability in the Engineering and Informational Sciences, 23
A. Soares, G. Latouche, P. Taylor (2002)
Further results on the similarity between fluid queues and QBDs
A. Soares, G. Latouche (2005)
Fluid queues: building upon the analogy with QBD processes
V. Ramaswami (1999)
Matrix analytic methods for stochastic fluid flows
M. Mandjes, D. Mitra, W. Scheinhardt (2003)
Models of Network Access Using Feedback Fluid QueuesQueueing Systems, 44
Our goal is to model the behaviour of the fluid in a buffer with threshold controls with a wide range of behaviour possible at the boundaries. To model this, we consider a class of Markovian fluid flow models with several layers, each with their own parameters, separated by boundaries. The behaviour of the fluid at each boundary is modelled by parameters unique to that boundary.
Annals of Operations Research – Springer Journals
Published: Dec 11, 2007
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