Published Online: Jul 18, 2019
Page range: 121 - 142
Received: Apr 18, 2018
Accepted: May 22, 2018
DOI: https://doi.org/10.2478/amsil-2018-0007
Keywords
© 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.