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math.PR2021
RAP-modulated Fluid Processes: First Passages and the Stationary Distribution
Nigel G. Bean, Giang T. Nguyen, Bo F. Nielsen +1
We construct a stochastic fluid process with an underlying piecewise deterministic Markov process (PDMP) akin to the one used in the construction of the rational arrival process (R…
math.PR2019
A discontinuous Galerkin method for approximating the stationary distribution of stochastic fluid-fluid processes
Nigel Bean, Giang T. Nguyen, Malgorzata M. O'Reilly +1
Introduced by Bean and O'Reilly (2014), a stochastic fluid-fluid process is a Markov processes , where the first fluid is driven by the Markov c…