You are given two queueing systems, $$# and $$$$.$ The mean arrival rate, the mean service rate per busy

server, and the steady$-$state expected number of customers for $$$ are twice the corresponding values for

$$#$.$ Let $\text{'}$ be the steady$-$state expected waiting time in the system for $\text{'},$ for $=1,2.$ Determine $$$$/$#$.$