The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems
| dc.contributor.author | Gómez-Corral, Antonio | |
| dc.contributor.author | Ramalhoto, M.F. | |
| dc.date.accessioned | 2023-06-20T16:55:09Z | |
| dc.date.available | 2023-06-20T16:55:09Z | |
| dc.date.issued | 1999-04-03 | |
| dc.description.abstract | In this paper, we introduce a bivariate Markov process {X(t), t greater than or equal to 0} = {(C(t), Q(t)), t greater than or equal to 0} whose state space is a lattice semistrip E = {0, 1, 2, 3} x Z(+). The process {X(t), t greater than or equal to 0} can be seen as the joint process of the number of servers and waiting positions occupied, and the number of customers in orbit of a generalized Markovian multiserver queue with repeated attempts and state dependent intensities. Using a simple approach, we derive closed form expressions for the stationary distribution of {X(t), t greater than or equal to 0} when a sufficient condition is satisfied. The stationary analysis of the M/M/2/2 + 1 and M/M/3/3 queues with linear retrial rates is studied as a particular case in this process. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.sponsorship | INTAS | |
| dc.description.sponsorship | JNICT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15876 | |
| dc.identifier.doi | 10.1016/S0895-7177(99)00138-7 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0895717799001387 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57423 | |
| dc.journal.title | Mathematical and Computer Modelling | |
| dc.language.iso | eng | |
| dc.page.final | 158 | |
| dc.page.initial | 141 | |
| dc.publisher | Pergamon-Elsevier Science LTD | |
| dc.relation.projectID | PB95-0416 | |
| dc.relation.projectID | 96-0828 | |
| dc.relation.projectID | 134-94 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.216 | |
| dc.subject.keyword | multiserver queue | |
| dc.subject.keyword | repeated attempt | |
| dc.subject.keyword | stationary distribution | |
| dc.subject.keyword | closed form formulae | |
| dc.subject.ucm | Procesos estocásticos | |
| dc.subject.unesco | 1208.08 Procesos Estocásticos | |
| dc.title | The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems | |
| dc.type | journal article | |
| dc.volume.number | 30 | |
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| dspace.entity.type | Publication |
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