Performance Analysis of a Block-Structured Discrete-Time Retrial Queue with State-Dependent Arrivals
dc.contributor.author | Artalejo Rodríguez, Jesús Manuel | |
dc.contributor.author | Li, Quan-Lin | |
dc.date.accessioned | 2023-06-20T00:10:45Z | |
dc.date.available | 2023-06-20T00:10:45Z | |
dc.date.issued | 2010-09 | |
dc.description.abstract | In this paper, we introduce a new discrete block state-dependent arrival (D-BSDA) distribution which provides fresh insights leading to a successful generalization of the discrete-time Markovian arrival process (D-MAP). The D-BSDA distribution is related to structured Markov chains and the method of stages. The consideration of this new discrete-time state-dependent block description gives one the ability of construct new stochastic models. The retrial queue analyzed in this paper gives an example of application of the D-BSDA distribution to construct more general and sophisticated models. We assume that the primary arrivals and the retrials follow the D-BSDA description and the service times are of discrete phase-type (PH). We study the underlying level dependent Markov chain of M/G/1-type at the epochs immediately after the slot boundaries. To this end, we employ the UL-type RG-factorization which provides an expression for the stationary probabilities. We also perform an analysis of waiting times. Numerical experiments are presented to study the system performance. | |
dc.description.department | Depto. de Estadística e Investigación Operativa | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | MEC | |
dc.description.sponsorship | National Grand Fundamental | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/15001 | |
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dc.identifier.doi | 10.1007/s10626-009-0075-6 | |
dc.identifier.issn | 0924-6703 | |
dc.identifier.officialurl | http://www.springerlink.com/content/3522g14536j4351v/fulltext.pdf | |
dc.identifier.relatedurl | http://www.springerlink.com | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/42138 | |
dc.issue.number | 3 | |
dc.journal.title | Discrete Event Dynamic Systems | |
dc.language.iso | eng | |
dc.page.final | 347 | |
dc.page.initial | 325 | |
dc.publisher | Springer | |
dc.relation.projectID | MTM2005-01248 | |
dc.relation.projectID | 2006CB805901 | |
dc.rights.accessRights | restricted access | |
dc.subject.cdu | 517 | |
dc.subject.keyword | Service | |
dc.subject.keyword | System | |
dc.subject.keyword | Queueing | |
dc.subject.keyword | Discrete-time | |
dc.subject.keyword | Structured Markov chain | |
dc.subject.keyword | Retrial | |
dc.subject.keyword | LU-factorizations | |
dc.subject.keyword | Waiting time | |
dc.subject.ucm | Análisis matemático | |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
dc.title | Performance Analysis of a Block-Structured Discrete-Time Retrial Queue with State-Dependent Arrivals | |
dc.type | journal article | |
dc.volume.number | 20 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | db4b8a04-44b0-48e9-8b2c-c80ffae94799 | |
relation.isAuthorOfPublication.latestForDiscovery | db4b8a04-44b0-48e9-8b2c-c80ffae94799 |
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