Strong Stability of the Batch Arrival Queueing Systems |
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| Authors: | L. Boukir L. Bouallouche-Medjkoune |
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| Affiliation: | L.A.M.O.S.: Laboratory of Modeling and Optimization of Systems , University of Béja?a , Algeria |
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| Abstract: | In this work, we use the strong stability method to study the batch arrival queue after a perturbation of the batch size distribution. We show that, under some hypotheses, the characteristics of the batch arrival queueing system M X /M/1 may be approximated by the correspondent characteristics of the system M Geo /M/1. After clarifying the conditions of approximation, we obtain stability inequalities with an exact computation of constants. |
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| Keywords: | Approximation Batch arrival queues Batch size Geometric distribution Perturbation Strong stability |
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