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Perturbation Analysis of the GI/M/s Queue

Author

Listed:
  • Badredine Issaadi

    (University of Bejaia)

  • Karim Abbas

    (University of Bejaia)

  • Djamil Aïssani

    (University of Bejaia)

Abstract

This paper investigates the M/M/s queueing model to predict an estimate for the proximity of the performance measures of queues with arrival processes that are slightly different from the Poisson process. Specifically, we use the strong stability method to obtain perturbation bounds on the effect of perturbing the arrival process in the M/M/s queue. Therefore, we build some algorithms based on strong stability method to predict stationary performance measures of the GI/M/s queue. Some numerical examples are sketched out to illustrate the accuracy of the proposed method.

Suggested Citation

  • Badredine Issaadi & Karim Abbas & Djamil Aïssani, 2017. "Perturbation Analysis of the GI/M/s Queue," Methodology and Computing in Applied Probability, Springer, vol. 19(3), pages 819-841, September.
    • Handle: RePEc:spr:metcap:v:19:y:2017:i:3:d:10.1007_s11009-016-9517-4
    DOI: 10.1007/s11009-016-9517-4
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    References listed on IDEAS

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    1. Bernd Heidergott & Arie Hordijk & Nicole Leder, 2010. "Series Expansions for Continuous-Time Markov Processes," Operations Research, INFORMS, vol. 58(3), pages 756-767, June.
    2. Rabta, Boualem & AIssani, Djamil, 2005. "Strong stability in an (R,s,S) inventory model," International Journal of Production Economics, Elsevier, vol. 97(2), pages 159-171, August.
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    Cited by:

    1. Badredine Issaadi, 2020. "Weak stability bounds for approximations of invariant measures with applications to queueing," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 371-400, March.

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