Performance analysis of a single-server queue with repeated attempts
| dc.contributor.author | Artalejo Rodríguez, Jesús Manuel | |
| dc.contributor.author | Gómez-Corral, Antonio | |
| dc.date.accessioned | 2023-06-20T16:55:12Z | |
| dc.date.available | 2023-06-20T16:55:12Z | |
| dc.date.issued | 1999-04-03 | |
| dc.description.abstract | This paper is concerned with the performance evaluation of a single-server queue with repeated attempts and disasters. Our queueing system is characterized by the phenomenon that a customer who finds the server busy upon arrival joins a group of unfilled customers called 'orbit' and repeats his request after some random time. In addition, we consider in this paper the possibility of disasters. When a disaster occurs, all the work (and therefore customers) in the system is destroyed immediately. Our queueing system can be used to model the behaviour of a buffer in computers with virus infections. | |
| 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 | European Commission | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15880 | |
| dc.identifier.doi | 10.1016/S0895-7177(99)00133-8 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0895717799001338 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57425 | |
| dc.journal.title | Mathematical and Computer Modelling | |
| dc.language.iso | eng | |
| dc.page.final | 88 | |
| dc.page.initial | 79 | |
| dc.publisher | Pergamon-Elsevier Science LTD | |
| dc.relation.projectID | PB95-0416 | |
| dc.relation.projectID | INTAS Grant 96-0828 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.216 | |
| dc.subject.keyword | Queueing theory computer systems | |
| dc.subject.keyword | repeated attempts | |
| dc.subject.keyword | disasters | |
| dc.subject.keyword | steady-state distribution | |
| dc.subject.keyword | busy period | |
| dc.subject.ucm | Procesos estocásticos | |
| dc.subject.unesco | 1208.08 Procesos Estocásticos | |
| dc.title | Performance analysis of a single-server queue with repeated attempts | |
| dc.type | journal article | |
| dc.volume.number | 30 | |
| dcterms.references | T. Yang and J.G.C. Templeton, A survey on retrial queues, Queueing Systems 2, 201-233 (1987). G.I. Falin, A survey of retrial queues, Queueing Systems 7, 127-168 (1990). G.I. Falin and J.G.C. Templeton, Retrial Queues, Chapman and Hall, London, (1997). R.J. Boucherie and O.J. Boxma, The workload in the M/G/l queue with work removal, Probability in the Engineering and Informational Sciences 10, 261-277 (1996). X. Chao, A queueing network model with catastrophes and product form solution, Openztions Research Letters 18, 75-79 (1995). G. Jain and K. S&man, A Pollaczek-Khintchine formula for M/G/l queues with disasters, Journal of Applied Probability 33, 1191-1200 (1996). J.R. Artalejo and A. G6mez-Corral, Steady state solution of a single-server queue with linear request repeated, Joumal of Applied Probability 34, 223-233 (1997). G. Fayolle, A simple telephone exchange with delayed feedbacks, In Teletnzfic Analysis and Computer Performance Eualuution, (Edited by O.J. Boxma, J.W. Cohen and H.C. Tijms), pp. 245-253, Elsevier,Amsterdam, (1986). M. Martin and J.R. Artalejo, Analysis of an M/G/I queue with two types of impatient units, Advances in Applied Probability 27, 840-861 (1995). J.R. Artalejo, Explicit formulae for the characteristics of the M/Hz/l retrial queue, Journal of the Operational Research Society 44, 309-313 (1993). J.R. Artalejo and A. G6mez-Corral, Analysis of a stochastic clearing system with repeated attempts, Stochastic Models 14, 623-645 (1998). E. Cinlar, Introduction to Stochaalic Processes, PrenticeHall, Englewood Cliffs, NJ, (1975). L. Kleinrock, Queueing Systems Vol. I. Theory, Wiley-Interscience, New York, (1975). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | db4b8a04-44b0-48e9-8b2c-c80ffae94799 | |
| relation.isAuthorOfPublication.latestForDiscovery | db4b8a04-44b0-48e9-8b2c-c80ffae94799 |
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