Applications of Stochastic Semigroups to Queueing Models

Autor: Gwiżdż Piotr
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Annales Mathematicae Silesianae, Vol 33, Iss 1, Pp 121-142 (2019)
Druh dokumentu: article
ISSN: 2391-4238
DOI: 10.2478/amsil-2018-0007
Popis: 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.
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