Perturbation Analysis of the GI/M/s Queue

Badredine Issaadi (), Karim Abbas () and Djamil Aïssani ()
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Badredine Issaadi: University of Bejaia
Karim Abbas: University of Bejaia
Djamil Aïssani: University of Bejaia

Methodology and Computing in Applied Probability, 2017, vol. 19, issue 3, 819-841

Abstract: 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.

Keywords: Markov chains; Queueing system; Strong stability; Algorithm; Simulation; 68M20; 60K25; 60J10 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11009-016-9517-4

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