Change in the service-time distribution

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Repeat Problem 1, except assume that the service times are not exponentially distributed, but rather (continuously) uniformly distributed be-tween a = 0.1 and b = 1.9. Note that the expected value of this uniform distribution is (a+b)/2 = 1, the same as the expected service time in Prob- lem 1. Compare all five of your numerical results to those from Problem 1 and explain intuitively with respect to this change in the service-time distribution (but with its expected value remaining at 1). Hint : In case you’ve forgotten, or your calculus has rusted completely shut, or you haven’t al- ready found it with a web search, the standard deviation of the continuous uniform distribution between a and b is (b − a)2/12 (that’s right, you always divide by 12 regardless of what a and b are . . . the calculus just works out that way).

Reference no: EM132272133

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