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Transient analysis of the successful and blocked events in retrial queues

dc.contributor.authorAmador Pacheco, Julia
dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.date.accessioned2023-06-20T00:11:48Z
dc.date.available2023-06-20T00:11:48Z
dc.date.issued2009
dc.descriptionThe authors are grateful to the referees for constructive comments on the original submission. This work was supported by MEC under grant MTM2005-01248.
dc.description.abstractThe phenomenon of repeated attempts arises naturally in telecommunication and computer networks. One aspect of the retrial feature is considered in this paper, where we investigate the transient behavior of the successful and blocked events made by the primary customers and the retrial customers.
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/15178
dc.identifier.doi10.1007/s11235-009-9161-1
dc.identifier.issn1018-4864
dc.identifier.officialurlhttp://www.springerlink.com/content/5545080p2747t831/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42171
dc.issue.number4
dc.journal.titleTelecommunication Systems
dc.language.isospa
dc.page.final265
dc.page.initial255
dc.publisherSpringer
dc.relation.projectIDMTM2005-01248
dc.rights.accessRightsrestricted access
dc.subject.cdu007
dc.subject.keywordRetrial queues - Transient analysis - Successful and blocked events
dc.subject.ucmTelecomunicaciones
dc.subject.unesco3325 Tecnología de las Telecomunicaciones
dc.titleTransient analysis of the successful and blocked events in retrial queues
dc.typejournal article
dc.volume.number41
dcterms.referencesAbate, J., & Whitt, W. (1995). Numerical inversion of Laplace transforms of probability distributions. ORSA Journal on Computing, 7, 36–43. Amador, J., & Artalejo, J. R. (2007). On the distribution of the successful and blocked events in the M/M/c retrial queue: A computational approach. Applied Mathematics and Computation, 190, 1612–1626. Amador, J., & Artalejo, J. R. (2009). The M/G/1 retrial queue: New descriptors of the customer’s behavior. Journal of Computational and Applied Mathematics, 223, 15–26. Anisimov, V. V. (1999). Averaging methods for transient regimes in overloading retrial queueing systems. Mathematical and Computer Modelling, 30, 65–78. Anisimov, V. V. (2008). Switching processes in queueing models. New York: Wiley. Artalejo, J. R., & Falin, G. I. (1996). On the orbit characteristics of the M/G/1 retrial queue. Naval Research Logistics, 43, 1147–1161. Artalejo, J. R., & Gomez-Corral, A. (2003). Channel idle periods in computer and telecommunication systems with customer retrials. Telecommunication Systems, 24, 29–46. Artalejo, J. R., & Gomez-Corral, A. (2008). Retrial queueing systems: a computational approach. Berlin: Springer. Ciarlet, P. G. (1989). Introduction to numerical linear algebra and optimization. Cambridge: Cambridge University Press. Cohen, A. M. (2007). Numerical methods for Laplace transform inversion. New York: Springer. Economou, A., & Lopez-Herrero, M. J. (2008). Performance analysis of a cellular mobile network with retrials and guard channels using waiting and first passage time measures. European Transactions on Telecommunications. doi:10.1002/ett.1294. Falin, G. I., & Templeton, J. G. C. (1997). Retrial queues. London: Chapman and Hall. Houck, D. J., & Lai, W. S. (1998). Traffic modeling and analysis of hybrid fiber-coax systems. Computer Networks and ISDN Systems, 30, 821–834. Janssens, G. K. (1997). The quasi-random input queueing system with repeated attempts as a model for a collision-avoidance local area network. IEEE Transactions on Communications, 45, 360–364. Latouche, G., & Ramaswami, V. (1999). Introduction to matrix-analytic methods in stochastic modeling. ASA-SIAM series on statistics and applied probability. Philadelphia: SIAM. Liu, X., & Fapojuwo, A. O. (2006). Performance analysis of hierarchical cellular networks with queueing and user retrials. International Journal of Communications Systems, 19, 699–721. Machihara, F., & Saitoh, M. (2008). Mobile customers model with retrials. European Journal of Operational Research, 189, 1073–1087. Medhi, J. (2003). Stochastic models in queueing theory. San Diego: Academic Press. Shin, Y. W. (2000). Transient distributions of level dependent quasi-birth-death processes with linear transition rates. Korean Journal of Computational and Applied Mathematics, 7, 83–100. Xue, F., Yoo, S. J. B., Yokoyama, H., & Horiuchi, Y. (2005). Performance analysis of wavelength-routed optical networks with connection request retrials. In IEEE international conference on communications, 2005. ICC 2005 (Vol. 3, pp. 1813–1818). New York: IEEE. Wang, J., Liu, B., & Li, J. (2008). Transient analysis of an M/G/1 retrial queue subject to disasters and server failures. European Journal of Operational Research, 189, 1118–1132.
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relation.isAuthorOfPublication.latestForDiscovery99e89c15-fd25-4dfc-81a6-bd30529c4f66

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