Applications of Stochastic Semigroups to Queueing Models-Reference-Cited by-同舟云学术

Applications of Stochastic Semigroups to Queueing Models

Published:2019-07-18 Issue:1 Volume:33 Page:121-142
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Gwiżdż Piotr¹

Affiliation:

1. Institute of Mathematics , University of Silesia , Bankowa 14, 40-007 Katowice , Poland

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2018-0007

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