Applications of Stochastic Semigroups to Queueing Models
By:
Abstract
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.
Language: English
Page range: 121 - 142
Submitted on: Apr 18, 2018
Accepted on: May 22, 2018
Published on: Jul 18, 2019
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
Keywords:
Related subjects:
© 2019 Piotr Gwiżdż, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.