Applications of Stochastic Semigroups to Queueing Models

Applications of Stochastic Semigroups to Queueing Models

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...

Full description

Bibliographic Details
Main Author: Gwiżdż Piotr
Format: Article
Language:English
Published: Sciendo 2019-09-01
Series:Annales Mathematicae Silesianae
Subjects:
stochastic semigroup
invariant density
piecewise deterministic Markov process
queueing systems
47D06
60J25
60K25
90B22
Online Access:http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0007/amsil-2018-0007.xml?format=INT
id doaj-eba68460873a497c91983c73579de3ad
record_format Article
spelling doaj-eba68460873a497c91983c73579de3ad2020-11-24T22:19:25ZengSciendoAnnales Mathematicae Silesianae2391-42382019-09-0133112114210.2478/amsil-2018-0007amsil-2018-0007Applications of Stochastic Semigroups to Queueing ModelsGwiżdż Piotr0Institute of Mathematics, University of Silesia, Bankowa 14, 40-007Katowice, PolandNon-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.http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0007/amsil-2018-0007.xml?format=INTstochastic semigroupinvariant densitypiecewise deterministic Markov processqueueing systems47D0660J2560K2590B22
collection DOAJ
language English
format Article
sources DOAJ
author Gwiżdż Piotr
spellingShingle Gwiżdż Piotr
Applications of Stochastic Semigroups to Queueing Models
Annales Mathematicae Silesianae
stochastic semigroup
invariant density
piecewise deterministic Markov process
queueing systems
47D06
60J25
60K25
90B22
author_facet Gwiżdż Piotr
author_sort Gwiżdż Piotr
title Applications of Stochastic Semigroups to Queueing Models
title_short Applications of Stochastic Semigroups to Queueing Models
title_full Applications of Stochastic Semigroups to Queueing Models
title_fullStr Applications of Stochastic Semigroups to Queueing Models
title_full_unstemmed Applications of Stochastic Semigroups to Queueing Models
title_sort applications of stochastic semigroups to queueing models
publisher Sciendo
series Annales Mathematicae Silesianae
issn 2391-4238
publishDate 2019-09-01
description 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.
topic stochastic semigroup
invariant density
piecewise deterministic Markov process
queueing systems
47D06
60J25
60K25
90B22
url http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0007/amsil-2018-0007.xml?format=INT
work_keys_str_mv AT gwizdzpiotr applicationsofstochasticsemigroupstoqueueingmodels
_version_ 1725779376671293440

Similar Items