Math Problem Solver

Consider an M/M/3 queue which has no waiting space, so that the maximum

number of people in the system is 3. Arrivals are according to a Poisson

process with rate 𝜆 and the service rate at each of the three counters is µ.

b)

At what rate do arrivals join the system? [5]

c) Derive the Kolmogorov forward equations for 𝑃𝑖

′

2

(𝑡). [