Extend Ex.23, above to an M/M i /3 heterogeneous queue and determine the limiting distribution of the number of customers in it. Also carry out a numerical comparison of the mean number of customers...

Extend Ex.23, above to an M/M i /3 heterogeneous queue and determine the limiting distribution of the number of customers in it. Also carry out a numerical comparison of the mean number of customers in the systems between M/M i /3 and M/M/3, when the service rate in the latter system is the average of the three heterogeneous rates. (Singh 1971).