Abstract
We consider a discrete-time queueing system with two priority classes and absolute priority scheduling. In our model, we capture potential correlation between the arrivals of the two priority classes. For practical use, it is required that the high-priority queue is of (relatively) small size and we hence use a model with finite high-priority queue capacity. We obtain expressions for the probability mass functions of the steady-state system content and delay of the high-priority class as well as for the probability generating functions and moments of the steady-state system content and delay of the low-priority class. The results are compared to those of a similar system, but with an infinite capacity for high priority packets, and it is shown that the latter can be inaccurate. We also investigate the effect of correlation between the arrivals of both priority classes on the performance of the system.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Carpenter, B.E., Nichols, K.: Differentiated services in the Internet. Proceedings of the IEEE 90(9), 1479–1494 (2002)
Walraevens, J., Steyaert, B., Bruneel, H.: Performance analysis of a single-server ATM queue with a priority scheduling. Computers & Operations Research 30(12), 1807–1829 (2003)
Takine, T., Sengupta, B., Hasegawa, T.: An analysis of a discrete-time queue for broadband ISDN with priorities among traffic classes. IEEE Transactions on Communications 42(2-4), 1837–1845 (1994)
Takine, T.: A nonpreemptive priority MAP/G/1 queue with two classes of customers. Journal of Operations Research Japan 39(2), 266–290 (1996)
Van Velthoven, J., Van Houdt, B., Blondia, C.: The impact of buffer finiteness on the loss rate in a priority queueing system. In: Horváth, A., Telek, M. (eds.) EPEW 2006. LNCS, vol. 4054, pp. 211–225. Springer, Heidelberg (2006)
Mehmet Ali, M., Song, X.: A performance analysis of a discrete-time priority queueing system with correlated arrivals. Performance Evaluation 57(3), 307–339 (2004)
Sidi, M., Segall, A.: Structured priority queueing systems with applications to packet-radio networks. Performance Evaluation 3(4), 265–275 (1983)
Vinck, B., Bruneel, H.: Delay analysis for single server queues. Electronics Letters 32(9), 802–803 (1996)
Fiems, D., Steyaert, B., Bruneel, H.: Discrete-time queues with generally distributed service times and renewal-type server interruptions. Performance Evaluation 55(3-4), 277–298 (2004)
Fiems, D.: Analysis of discrete-time queueing systems with vacations. PhD thesis. Ghent University (2003)
Bruneel, H., Kim, B.G.: Discrete-time models for communication systems including ATM. Kluwer Academic Publishers, Dordrecht (2004)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Demoor, T., Walraevens, J., Fiems, D., Bruneel, H. (2008). Mixed Finite-/Infinite-Capacity Priority Queue with Interclass Correlation. In: Al-Begain, K., Heindl, A., Telek, M. (eds) Analytical and Stochastic Modeling Techniques and Applications. ASMTA 2008. Lecture Notes in Computer Science, vol 5055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68982-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-540-68982-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-68980-5
Online ISBN: 978-3-540-68982-9
eBook Packages: Computer ScienceComputer Science (R0)