Applications of stochastic semigroups to queueing models

Piotr Gwiżdż

Published: 2018-06-18

Vol. 33 (2019)

Applications of stochastic semigroups to queueing models

Piotr Gwiżdż

Abstract

Non-markovian queueing systems can be extended to piecewisedeterministic 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.

Keywords:

stochastic semigroup , invariant density , piecewise deterministic Markov process , queueing systems

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Gwiżdż, P. (2018). Applications of stochastic semigroups to queueing models. Annales Mathematicae Silesianae, 33, 121–142. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13657

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Vol. 33 (2019)
Published: 2019-07-18

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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