Consider a M/M/1/? system, where ? = 1 pkt/s and ? = 2 pkt/s (that is, the system has an infinite buffer)
a) Compute the expected total delay experienced by packets going through the system.
b) Now consider N separate M/M/1/? systems in parallel, where arrivals are equally distributed among their respective buffers and the service rate of the individual servers is ?/N.
b.1) Compute the effective arrival rate in each individual buffer.
b.2) Compute the expected total delay experienced by packets going through the system (from arrival in any queue to departure). Is the delay smaller or bigger compared to (a)?