arrivals and of service [cf. (4.58)l are

What is the condition for steady state in this case? Find an expression for .

b. Suppose we now assume that there is no balking (_{n}= ) but that the
service rate depends on the number of users present (_{n} = c_{n}. for n = 1, 2, . . .).
Find a form for c. such that the expression forP_{n} becomes
identical, as in part (a). To what classical queueing system is this new system
equivalent, as far as the service rate is concerned?

c. Find
for case (a). Show that, for this case,