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A note on the pseudo-conservation law for a multi-queue with local priority

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Abstract

The pseudo-conservation law for a multi-queue system with non-preemptive priority (local priority) has recently been presented in Fournier and Rosberg [9]. This note points out that the result has independently been derived in Shimogawa and Takahashi [17]. The derivation of a mean waiting time approximation based on the pseudo-conservation law is also discussed.

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References

  1. O.J. Boxma and W.P. Groenendijk, Pseudo-conservation laws in cyclic-service systems, J. Appl. Prob. 24(1987)949–964.

    Google Scholar 

  2. O.J. Boxma and B. Meister, Waiting-time approximations for cyclic-service systems with switchover times, Perf. Eval. Rev. 14(1986)254–262.

    Google Scholar 

  3. O.J. Boxma, Workloads and waiting times in single-server systems with multiple customer classes, Queueing Systems 5(1989)185–214.

    Google Scholar 

  4. W. Bux and H.L. Truong, Mean-delay approximations for cyclic-service queueing systems, Perf. Eval. 3(1983)187–196.

    Google Scholar 

  5. K. Chang and D. Sandhu, Pseudo-conservation laws in cyclic-server, multiqueue systems with a class of limited service policies,IEEE INFOCOM (1990), pp. 260–267.

  6. D. Everitt, Simple approximations for token rings, IEEE Trans. Commun. COM-34(1986)719–721.

    Google Scholar 

  7. D. Everitt, A note on the pseudo-conservation laws for cyclic service systems with limited service disciplines, IEEE Trans. Commun. COM-37(1989)781–783.

    Google Scholar 

  8. M.J. Ferguson and Y.J. Aminetzah, Exact results for nonsymmetric token ring systems, IEEE Trans. Commun. COM-33(1985)223–231.

    Google Scholar 

  9. L. Fournier and Z. Rosberg, Expected waiting times in polling systems under priority disciplines, Queueing Systems 9(1991)419–440.

    Google Scholar 

  10. Y. Fukagawa, S. Murakami and S. Yoshida, An approximate analysis for a multiqueue with a nonpreemptive priority and cyclic service, Trans. IECE Japan J70-A(1987)1351–1354, in Japanese.

    Google Scholar 

  11. W.P. Groenendijk, Waiting-time approximations for cyclic-service systems with mixed service strategies,Proc. ITC 12, Session 1.4B, Torino (1988).

  12. D. Karvelas and A. Leon-Garcia, Performance of integrated packet voice/data token passing ring, IEEE J. Sel. Areas Commun. SAC-4(1986)823–832.

    Google Scholar 

  13. G. Kimura and Y. Takahashi, An approximation for a token ring system with priority classes of messages, J. Inf. Proc. 10(1987)86–91.

    Google Scholar 

  14. L. Kleinrock,Queueing Systems, Vol. 2 (Wiley, New York, 1976).

    Google Scholar 

  15. P.J. Kuehn, Multi-queue systems with non-exhaustive cyclic service, Bell. Syst. Tech. J. 58(1979) 671–698.

    Google Scholar 

  16. J. Paradells-Aspas and V. Casares-Giner, Token passing system with priorities at node level, Department of Applied Mathematics, University of Barcelona, Barcelona, Spain (1989).

    Google Scholar 

  17. S. Shimogawa and Y. Takahashi, A pseudo-conservation law in a cyclic-service system with priority classes, IEICE Research Report, IN88-86 (1988), pp. 13–18.

    Google Scholar 

  18. H. Takagi,Analysis of Polling Systems (MIT Press, Cambridge, MA, 1986).

    Google Scholar 

  19. K.S. Watson, Performance evaluation of cyclic service strategies — a survey, in:Performance'84, ed. E. Gelenbe (North-Holland, Amsterdam, 1985), pp. 521–533.

    Google Scholar 

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Shimogawa, S., Takahashi, Y. A note on the pseudo-conservation law for a multi-queue with local priority. Queueing Syst 11, 145–151 (1992). https://doi.org/10.1007/BF01159292

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  • DOI: https://doi.org/10.1007/BF01159292

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