Artalejo, Jesús R. and Amador, J. (2009) Transient analysis of the successful and blocked events in retrial queues. Telecommunication Systems , 41 (4). pp. 255-265. ISSN 1018-4864
Restricted to Repository staff only until 31 December 2020.
The 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.
|Additional Information:||The authors are grateful to the referees for constructive comments on the original submission. This work was supported by MEC under grant MTM2005-01248.|
|Uncontrolled Keywords:||Retrial queues - Transient analysis - Successful and blocked events|
|Subjects:||Sciences > Computer science > Telecommunication|
Abate, 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.
|Deposited On:||10 May 2012 08:24|
|Last Modified:||06 Feb 2014 10:18|
Repository Staff Only: item control page