Performance analysis and optimal control of the Geo/Geo/c queue
| dc.contributor.author | Artalejo Rodríguez, Jesús Manuel | |
| dc.contributor.author | Hernández-Lerma, O. | |
| dc.date.accessioned | 2023-06-20T09:36:40Z | |
| dc.date.available | 2023-06-20T09:36:40Z | |
| dc.date.issued | 2003-03 | |
| dc.description | The authors thank the referee for his comments on an earlier version of this paper. It was finished during a visit of O. Hernández-Lerma to Madrid which was supported by the Secretaria General Técnica del Ministerio de Educación y Cultura. This research was also supported by the projects CONACyT 37355-E and PB98-0837. | |
| dc.description.abstract | Discrete-time multiserver queues have been used for many years to investigate the behavior of communication and computer systems in which time is slotted. In this paper, we consider the discrete-time Geo/Geo/cqueue. We first develop an efficient recursive procedure to obtain the steady-state probabilities and prove the convergence to the continuous-time counterpart. We also deal with the infinite-horizon discounted cost criterion for the arrival and service rate control problems. Optimal stationary policies and value functions are determined. This allows us to compare both control problems. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Secretaria General Técnica del Ministerio de Educación y Cultura | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15729 | |
| dc.identifier.doi | 10.1016/S0166-5316(02)00161-X | |
| dc.identifier.issn | 0166-5316 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S016653160200161X | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50027 | |
| dc.issue.number | 1 | |
| dc.journal.title | Performance Evaluation | |
| dc.language.iso | eng | |
| dc.page.final | 39 | |
| dc.page.initial | 15 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | CONACyT 37355-E | |
| dc.relation.projectID | PB98-0837 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.8 | |
| dc.subject.keyword | Discrete queues | |
| dc.subject.keyword | Multiple servers | |
| dc.subject.keyword | Optimal control | |
| dc.subject.keyword | Steady-state distribution | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | Performance analysis and optimal control of the Geo/Geo/c queue | |
| dc.type | journal article | |
| dc.volume.number | 52 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | db4b8a04-44b0-48e9-8b2c-c80ffae94799 | |
| relation.isAuthorOfPublication.latestForDiscovery | db4b8a04-44b0-48e9-8b2c-c80ffae94799 |
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