Performance analysis of a single-server queue with repeated attempts

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dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.contributor.authorGómez-Corral, Antonio
dc.date.accessioned2023-06-20T16:55:12Z
dc.date.available2023-06-20T16:55:12Z
dc.date.issued1999-04-03
dc.description.abstractThis 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.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.sponsorshipEuropean Commission
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15880
dc.identifier.citationT. 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).
dc.identifier.doi10.1016/S0895-7177(99)00133-8
dc.identifier.issn0895-7177
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0895717799001338
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57425
dc.journal.titleMathematical and Computer Modelling
dc.language.isoeng
dc.page.final88
dc.page.initial79
dc.publisherPergamon-Elsevier Science LTD
dc.relation.projectIDPB95-0416
dc.relation.projectIDINTAS Grant 96-0828
dc.rights.accessRightsrestricted access
dc.subject.cdu519.216
dc.subject.keywordQueueing theory computer systems
dc.subject.keywordrepeated attempts
dc.subject.keyworddisasters
dc.subject.keywordsteady-state distribution
dc.subject.keywordbusy period
dc.subject.ucmProcesos estocásticos
dc.subject.unesco1208.08 Procesos Estocásticos
dc.titlePerformance analysis of a single-server queue with repeated attempts
dc.typejournal article
dc.volume.number30
dspace.entity.typePublication
relation.isAuthorOfPublicationdb4b8a04-44b0-48e9-8b2c-c80ffae94799
relation.isAuthorOfPublication.latestForDiscoverydb4b8a04-44b0-48e9-8b2c-c80ffae94799
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