Sep 19, 2017

CUSTOMERS OF THREE DIFFERENT CLASSES ARRIVE AT AN M/G/1 QUEUE ACCORDING TO A POISSON PROCESS WITH

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Customers of three different classes arrive at an M/G/1 queue according to a Poisson process with mean interarrival time equal to 6 minutes. On average, eight out of every twenty customers belong to class 1; eleven out of every twenty belong to class 2 and the remainder belong to class 3. The service requirements of each class are those of the previous question—the service time distribution of customers of class 1 is uniformly distributed on [2, 8]; those of class 2 have an Erlang-2 distribution and those of class 3 are hyper exponentially distributed and the parameters of these latter two distributions are given in the previous question. Find the mean residual service time.


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