A simulation study of a discrete-time multiserver retrial queue with finite population
| dc.contributor.author | Artalejo Rodríguez, Jesús Manuel | |
| dc.contributor.author | López Herrero, María Jesús | |
| dc.date.accessioned | 2023-06-20T09:34:58Z | |
| dc.date.available | 2023-06-20T09:34:58Z | |
| dc.date.issued | 2007-08-01 | |
| dc.description.abstract | In this paper, we deal with a discrete-time multiserver retrial queue with finite population. Firstly, we study the Markov chain at the epochs immediately after slot boundaries making emphasis on the computation of its steady-state distribution. Then, the main performance measures are investigated. Besides, we simulate the waiting time of a customer in the retrial group under three different queueing policies. Some numerical examples are given to illustrate the analysis. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15375 | |
| dc.identifier.doi | 10.1016/j.jspi.2006.04.018 | |
| dc.identifier.issn | 0378-3758 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0378375807000092 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49961 | |
| dc.issue.number | 8 | |
| dc.journal.title | Journal of Statistical Planning and Inference | |
| dc.language.iso | eng | |
| dc.page.final | 2542 | |
| dc.page.initial | 2536 | |
| dc.publisher | Elsevier Science Bv | |
| dc.relation.projectID | MTM2005-01248 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.8 | |
| dc.subject.keyword | Discrete-time queues | |
| dc.subject.keyword | Multiple servers | |
| dc.subject.keyword | Retrials | |
| dc.subject.keyword | Simulation | |
| dc.subject.keyword | Steady-state distribution | |
| dc.subject.keyword | Waiting time | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | A simulation study of a discrete-time multiserver retrial queue with finite population | |
| dc.type | journal article | |
| dc.volume.number | 137 | |
| dcterms.references | Artalejo, J.R., 1999. Accessible bibliography on retrial queues. Math. Comput. Modelling 30, 1–6. Artalejo, J.R., Hernandez-Lerma, O., 2003. Performance analysis and optimal control of the Geo/Geo/c queue. Performance Evaluation 52, 15–39. Artalejo, J.R., Pozo, M., 2002. Numerical calculation of the stationary distribution of the main multiserver retrial queue. Ann. Oper. Res. 116, 41–56. Artalejo, J.R., Atencia, I., Moreno, P., 2005. A discrete-time Geo[X]/G/1 retrial queue with control of admission. Appl. Math. Modelling 29, 1100–1120. Atencia, I., Moreno, P., 2004a. Discrete-time Geo[X]/GH /1 retrial queue with Bernoulli feedback. Comput. Math. Appl. 47, 1273–1294. Atencia, I., Moreno, P., 2004b. A discrete-time Geo/G/1 retrial queue with general retrial times. Queueing Systems 48, 5–21. Bruneel, H., Kim, B.G., 1993. Discrete-time Models for Communication Systems including ATM. Kluwer Academic Publishers, Boston. Choi, B.D., Kim, J.W., 1997. Discrete-time Geo1, Geo2/G/1 retrial queueing system with two types of calls. Comput. Math. Appl. 33, 79–88. Falin, G.I., Artalejo, J.R., 1998. A finite source retrial queue. European J. Oper. Res. 108, 409–424. Falin, G.I., Templeton, J.G.C., 1997. Retrial Queues. Chapman & Hall, London. Gao, P.,Wittevrongel, S., Bruneel, H., 2004. Discrete-time multiserver queues with geometric services times. Comput. Oper. Res. 31, 81–99. Li, H.,Yang, T., 1998. Geo/G/1 discrete time retrial queue with Bernoulli schedule. European J. Oper. Res. 111, 629–649. Li, H.,Yang, T., 1999. Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues. Math. Comput. Modelling 30, 51–63. Takahashi, M., Osawa, H., Fujisawa, T., 1999. Geo[X]/G/1 retrial queue with non-preemptive priority. Asia-Pacific J. Oper. Res. 16, 215–234. Woodward, M.E., 1994. Communication and Computer Networks: Modelling with Discrete-time Queues. IEEE Computer Society Press, Los Alamitos. Yang, T., Li, H., 1995. On the steady-state queue size distribution of the discrete-time Geo/G/1 queue with repeated attempts. Queueing Systems 21, 199–215. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | db4b8a04-44b0-48e9-8b2c-c80ffae94799 | |
| relation.isAuthorOfPublication | 64a702cc-f8f5-468f-baeb-e37e92492a68 | |
| relation.isAuthorOfPublication.latestForDiscovery | 64a702cc-f8f5-468f-baeb-e37e92492a68 |
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