Ítem
Solo Metadatos
The M/G/1-type markov chain with restricted transitions and its application to queues with batch arrivals
| dc.creator | Pérez, Juan F. | spa |
| dc.creator | Van Houdt, Benny | spa |
| dc.date.accessioned | 2020-08-19T14:40:57Z | |
| dc.date.available | 2020-08-19T14:40:57Z | |
| dc.date.created | 2011-07-21 | spa |
| dc.description.abstract | We consider M/G/1-type Markov chains where a transition that decreases the value of the level triggers the phase to a small subset of the phase space. We show how this structure—referred to as restricted downward transitions—can be exploited to speed up the computation of the stationary probability vector of the chain. To this end we define a new M/G/1-type Markov chain with a smaller block size, the G matrix of which is used to find the original chain's G matrix. This approach is then used to analyze the BMAP/PH/1 queue and the BMAP[2]/PH[2]/1 preemptive priority queue, yielding significant reductions in computation time. | eng |
| dc.format.mimetype | application/pdf | |
| dc.identifier.doi | https://doi.org/10.1017/S0269964811000155 | |
| dc.identifier.issn | ISSN: 0269-9648 | |
| dc.identifier.issn | EISSN: 1469-8951 | |
| dc.identifier.uri | https://repository.urosario.edu.co/handle/10336/27086 | |
| dc.language.iso | eng | spa |
| dc.publisher | Cambridge University Press | spa |
| dc.relation.citationEndPage | 517 | |
| dc.relation.citationIssue | No. 4 | |
| dc.relation.citationStartPage | 487 | |
| dc.relation.citationTitle | Probability in the Engineering and Informational Sciences | |
| dc.relation.citationVolume | Vol. 25 | |
| dc.relation.ispartof | Probability in the Engineering and Informational Sciences, ISSN: 0269-9648;EISSN: 1469-8951, Vol.25, No.4 (2011); pp. 487-517 | spa |
| dc.relation.uri | https://www.cambridge.org/core/journals/probability-in-the-engineering-and-informational-sciences/article/mg1type-markov-chain-with-restricted-transitions-and-its-application-to-queues-with-batch-arrivals/F4A45829C200EF53BD97AAC8FA558B8D | spa |
| dc.rights.accesRights | info:eu-repo/semantics/restrictedAccess | |
| dc.rights.acceso | Restringido (Acceso a grupos específicos) | spa |
| dc.source | Probability in the Engineering and Informational Sciences | spa |
| dc.source.instname | instname:Universidad del Rosario | |
| dc.source.reponame | reponame:Repositorio Institucional EdocUR | |
| dc.subject.keyword | M/G/1-type Markov chains | spa |
| dc.subject.keyword | G matrix | spa |
| dc.subject.keyword | Computation | spa |
| dc.title | The M/G/1-type markov chain with restricted transitions and its application to queues with batch arrivals | spa |
| dc.title.TranslatedTitle | La cadena de Markov tipo M / G / 1 con transiciones restringidas y su aplicación a colas con llegadas por lotes | spa |
| dc.type | article | eng |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | |
| dc.type.spa | Artículo | spa |
