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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....
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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