Consider an M / M / 1 queueing system with capacity N = 1, arrival rate...

Consider an M / M / 1 queueing system with capacity N = 1, arrival rate λ = 0.2 customers per minute, and service rate µ =0.3 customers per minute. Let X(t) be the number of customers present at time t.

a) Suppose that X(0) =0. Calculate P{X(1) = 0} and P{X(10) = 0}

b) Suppose that X(0) =1. Calculate P{X(1) = 0} and P{X(10) = 0}

c) Could you have predicted the difference between the answers in part a, and part b by the general theory of limiting probabilities?

Expert Solution

orchestra answered 2 years ago

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