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Performance of a Partially Shared Priority Buffer with Correlated Arrivals

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Managing Traffic Performance in Converged Networks (ITC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 4516))

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Abstract

In this paper, we analyse a finite sized discrete time priority buffer with two types of packet arrivals, referred to as class 1 and class 2 packets. Packets of both classes arrive according to a discrete batch Markovian arrival process, taking into account the correlated nature of arrival processes in heterogeneous telecommunication networks. Packets of class 1 are assumed to have both space priority and transmission priority over packets of class 2. In particular, the partial buffer sharing acceptance policy is adopted as space priority mechanism. Using a matrix analytic approach, the buffer content is analysed and through some numerical examples, the impact of the priority scheduling, the threshold and the correlation in the arrival process is demonstrated.

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References

  1. Radha, H., Chen, Y., Parthasarathy, K., Cohen, R.: Scalable internet video using MPEG-4. Signal Processing: Image communication 15(1-2), 95–126 (1999)

    Article  Google Scholar 

  2. Laevens, K., Bruneel, H.: Discrete-time multiserver queues with priorities. Performance Evaluation 33(4), 249–275 (1998)

    Article  Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. 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)

    Article  MATH  Google Scholar 

  6. Walraevens, J., Wittevrongel, S., Bruneel, H.: Performance analysis of a priority buffer with train arrivals. In: Proceedings of the 2006 International Symposium on Performance Evaluation of Computer and Telecommunication Systems (SPECTS 2006), Simulation Series 38(3), Calgary (July 2006), pp. 586–594 (2006)

    Google Scholar 

  7. Latouche, G., Ramaswami, V.: Introduction to matrix analytic methods in stochastic modeling. Series on statistics and applied probability, ASA-SIAM (1999)

    Google Scholar 

  8. 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)

    Chapter  Google Scholar 

  9. Kröner, H., Hébuterne, G., Boyer, P., Gravey, A.: Priority management in ATM switching nodes. IEEE Journal on Selected Areas in Communications 9(3), 418–427 (1991)

    Article  Google Scholar 

  10. Zhao, J., Li, B., Cao, X., Ahmad, I.: A matrix-analytic solution for the DBMAP/PH/1 priority queue. Queueing Systems 53(3), 127–145 (2006)

    Article  MATH  Google Scholar 

  11. Spaey, K.: Superposition of Markovian traffic sources and frame aware buffer acceptance. PhD thesis, Universitaire Instelling Antwerpen (2002)

    Google Scholar 

  12. Blondia, C., Casals, O.: Statistical multiplexing of VBR sources: A matrix-analytic approach. Performance Evaluation 16, 5–20 (1992)

    Article  MATH  Google Scholar 

  13. Fiems, D., Bruneel, H.: A note on the discretization of Little’s result. Operations Research Letters 30(1), 17–18 (2002)

    Article  MATH  Google Scholar 

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Lorne Mason Tadeusz Drwiega James Yan

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© 2007 Springer-Verlag Berlin Heidelberg

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Fiems, D., Walraevens, J., Bruneel, H. (2007). Performance of a Partially Shared Priority Buffer with Correlated Arrivals. In: Mason, L., Drwiega, T., Yan, J. (eds) Managing Traffic Performance in Converged Networks. ITC 2007. Lecture Notes in Computer Science, vol 4516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72990-7_52

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  • DOI: https://doi.org/10.1007/978-3-540-72990-7_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72989-1

  • Online ISBN: 978-3-540-72990-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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