Consider a G/G/N queuing model with mean arrival rate λ, standard deviation of inter-arrival times σA, mean service rate μ, and standard deviation of service times σS.
a) Prove that the expected waiting time in line for the system where N=1 is at least twice the expected waiting time in line for the system where N=2.
b) Do you see this same effect when comparing the systems where N=2 and where N=3?