Consider a queueing system where there is one server and no room to wait in line (i., an M/M/1/1 queue). Further suppose that the arrival rate and...

Consider a queueing system where there is one server and no room to wait in line (i.e., an M/M/1/1 queue). Further suppose that the arrival rate λ and the service rate μ are equal. Under stationary conditions, find the proportion of customers who are lost

(a) in this system

(b) if the service rate is doubled

(c) if one customer can wait in line

(d) if a second server is added.

Answers: (a) 50% (b) 33% (c) 33% (d) 20%