Answer:
utilization factor = 80%
average time in the queue = 8 minutes
Explanation:
given data
arrive randomly rate = 12 every 30 minutes
average time serve = 2 min
to find out
utilization factor and average time in the queue
solution
first we get here mean number for arrivals that is
mean number for arrivals =
mean number for arrivals = 0.4
and
now we will get here mean number of served that is
mean number of served =
mean number of served = 0.5
so now utilization factor will be as
utilization factor = ...................1
put here value we get
utilization factor =
utilization factor = 0.80
utilization factor = 80%
and
average time in the queue will be
average time in the queue =
average time in the queue = 8 minutes