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Publicado en línea: 18 jul 2019
Páginas: 121 - 142
Recibido: 18 abr 2018
Aceptado: 22 may 2018
DOI: https://doi.org/10.2478/amsil-2018-0007
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© 2019 Piotr Gwiżdż, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of variables and non-local boundary conditions. We show how one can study such systems by using the theory of stochastic semigroups.