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Waiting time analysis of the M/G/1 queue with finite retrial group

dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.contributor.authorGómez-Corral, Antonio
dc.date.accessioned2023-06-20T09:34:53Z
dc.date.available2023-06-20T09:34:53Z
dc.date.issued2007
dc.description.abstractWe consider an M/G/1 retrial queue with finite capacity of the retrial group. First, we obtain equations governing the dynamic of the waiting time. Then, we focus on the numerical inversion of the density function and the computation of moments. These results are used to approximate the waiting time of the M/G/1 queue with infinite retrial group for which direct analysis seems intractable.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMEC
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15355
dc.identifier.doi10.1002/nav.20227
dc.identifier.issn0894-069X
dc.identifier.officialurlhttp://onlinelibrary.wiley.com/doi/10.1002/nav.20227/pdf
dc.identifier.relatedurlhttp://www.wiley.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49958
dc.issue.number5
dc.journal.titleNaval Research Logistics (NRL)
dc.language.isoeng
dc.page.final529
dc.page.initial524
dc.publisherJohn Wiley & Sons Inc
dc.relation.projectIDMTM2005-01248
dc.rights.accessRightsrestricted access
dc.subject.cdu519.8
dc.subject.keywordRetrial queue
dc.subject.keywordWaiting time
dc.subject.keywordAlgorithmic probability
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco1207 Investigación Operativa
dc.titleWaiting time analysis of the M/G/1 queue with finite retrial group
dc.typejournal article
dc.volume.number54
dcterms.referencesJ.R. Artalejo, G.I. Falin, and M.J. Lopez-Herrero, A second order analysis of the waiting time in theM/G/1 retrial queue, Asia-Pacific Journal of Operational Research 19 (2002), 131–148. J.R. Artalejo and A. Gómez-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 and M.J. Lopez-Herrero, The M/G/1 retrial queue: An information theoretic approach, Statistics and Operations Research Transactions 29 (2005), 119–138. J.R. Artalejo and M. Pozo, Numerical calculation of the stationary distribution of the main multiserver retrial queue, Annals of Operations Research 116 (2002), 41–56. G.M. Carter and R.B. Cooper, Queues with service in random order, Operations Research 20 (1972), 389–405. R.B. Cooper, Introduction to Queueing Theory, Edward Arnold, London, 1981. A.N. Dudin and S.R. Chakravarthy, “A single server retrial queuing model with batch arrivals and group services,” Advances in Stochastic Modelling, J.R. Artalejo and A. Krishnamoorthy (Editors), Notable Publications, Inc., New Jersey, 2002, pp. 1–21. G.I. Falin and J.G.C. Templeton, Retrial Queues, Chapman and Hall, London, 1997. A. Krishnamoorthy and P.V. Ushakumari, GI/M/1/1 queue with finite retrials and finite orbits, Stochastic Analysis and Applications 20 (2002), 357–374. A. Gómez-Corral, A bibliographical guide to the analysis of retrial queues through matrix analytic techniques, Annals of Operations Research 141 (2006), 177–207. A.G. de Kok, Algorithmic methods for single server systems with repeated attempts, Statistica Neerlandica 38 (1984), 23–32. M.F. Neuts, Matrix Geometric Solutions in Stochastic Models: An Algorithmic Approach, The Johns Hopkins University Press, Baltimore, 1981. X. Wu, P. Brill, M. Hlynka, and J. Wang, An M/G/1 retrial queue with balking and retrials during service, International Journal of Operational Research 1 (2005), 30–51.
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relation.isAuthorOfPublicationdb4b8a04-44b0-48e9-8b2c-c80ffae94799
relation.isAuthorOfPublication.latestForDiscoverydb4b8a04-44b0-48e9-8b2c-c80ffae94799

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