Question: 3.2. In operating a queueing system with Poisson arrivals at a rate of A = I per unit time and a single server, you have

3.2. In operating a queueing system with Poisson arrivals at a rate of A = I per unit time and a single server, you have a choice of server mechanisms.

Method A has a mean service time of v = 0.5 and a variance in service time of r 2 = 0.2, while Method B has a mean service time of v = 0.4 and a variance of r2 = 0.9. In terms of minimizing the waiting time of a typical customer, which method do you prefer? Would your answer change if the arrival rate were to increase significantly?

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