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Computational schemes for two exponential servers where the first has a finite buffer

Moshe Haviv; Rita Zlotnikov — 2011

RAIRO - Operations Research - Recherche Opérationnelle

We consider a system consisting of two not necessarily identical exponential servers having a common Poisson arrival process. Upon arrival, customers inspect the first queue and join it if it is shorter than some threshold . Otherwise, they join the second queue. This model was dealt with, among others, by Altman et al. [20 (2004) 149–172]. We first derive an explicit expression for the Laplace-Stieltjes transform of the distribution underlying the arrival (renewal) process to the second queue....

Computational schemes for two exponential servers where the first has a finite buffer

Moshe Haviv; Rita Zlotnikov — 2011

RAIRO - Operations Research

We consider a system consisting of two not necessarily identical exponential servers having a common Poisson arrival process. Upon arrival, customers inspect the first queue and join it if it is shorter than some threshold . Otherwise, they join the second queue. This model was dealt with, among others, by Altman et al. [ (2004) 149–172]. We first derive an explicit expression for the Laplace-Stieltjes transform of the distribution underlying the arrival (renewal) process to the...

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