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On the distribution of the successful and blocked events in the M/M/c retrial queue: A computational approach

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dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.contributor.authorAmador Pacheco, Julia
dc.date.accessioned2023-06-20T09:35:04Z
dc.date.available2023-06-20T09:35:04Z
dc.date.issued2007-07-15
dc.descriptionJesus Artalejo thanks the support received from the research project MTM 2005-02148
dc.description.abstractThis paper deals with the main retrial queue of M/M/c-type with exponential repeated attempts. We refer to a busy period and present a detailed computational analysis of four new performance measures: (i) the successful retrials, (ii) the blocked retrials, (iii) the successful primary arrivals, and (iv) the blocked primary arrivals.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15407
dc.identifier.doi10.1016/j.amc.2007.02.054
dc.identifier.issn0096-3003
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0096300307002068
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49965
dc.issue.number2
dc.journal.titleApplied Mathematics and Computation
dc.language.isoeng
dc.page.final1626
dc.page.initial1612
dc.publisherElsevier
dc.relation.projectIDMTM 2005-02148
dc.rights.accessRightsrestricted access
dc.subject.cdu517.9
dc.subject.keywordNumber
dc.subject.keywordMarkov queuing system
dc.subject.keywordBlocked arrivals
dc.subject.keywordMean
dc.subject.keywordCovariance
dc.subject.keywordGenerating function
dc.subject.keywordHidden queue
dc.subject.keywordAlgorithms
dc.subject.keywordMoments
dc.subject.keywordProbability mass function
dc.subject.keywordNumerical examples
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleOn the distribution of the successful and blocked events in the M/M/c retrial queue: A computational approach
dc.typejournal article
dc.volume.number190
dcterms.referencesJ.R. Artalejo, M. Pozo, Numerical calculation of the stationary distribution of the main multiserver retrial queue, Annals of Operations Research 116 (2002) 41–56. J.R. Artalejo, A. Gomez-Corral, Waiting time in the M=M=c queue with finite retrial group, Bulletin of Kerala Mathematics Association 2 (2005) 1–17. J.R. Artalejo, A. Economou, M.J. Lopez-Herrero, Algorithmic approximations for the busy period distribution of the M=M=c retrial queue, European Journal of Operational Research 176 (2007) 1687–1702. J.R. Artalejo, M.J. Lopez-Herrero, On the distribution of the number of retrials, Applied Mathematical Modelling 31 (2007) 478–489. J.R. Artalejo, A. Economou, M.J. Lopez-Herrero, Algorithmic analysis of the maximum queue length in a busy period for the M=M=c retrial queue, INFORMS Journal on Computing 19 (2007) 121–126. I. Atencia, P. Moreno, A single-server retrial queue with general retrial times and Bernoulli schedule, Applied Mathematics and Computation 162 (2005) 855–880. G. Choudhury, A two phase batch arrival retrial queueing system with Bernoulli vacation, Applied Mathematics and Computation, available online (13 December 2006). G.I. Falin, J.G.C. Templeton, Retrial Queues, Chapman and Hall, London, 1997. N. Gharbi, M. Ioualalen, GSPN analysis of retrial systems with server breakdowns and repairs, Applied Mathematics and Computation 174 (2006) 1151–1168. M.J. Lopez-Herrero, Distribution of the number of customers served in an M=G=1 retrial queue, Journal of Applied Probability 39 (2002) 407–412. Z. Wenhui, Analysis of a single-server retrial queue with FCFS orbit and Bernoulli vacation, Applied Mathematics and Computation 161 (2005) 353–364.
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