Question

An auxiliary lane toll plaza exiting the North Luzon Expressway currently has four toll
booths operating. Vehicles arrive at the toll plaza at an average rate of 1,200 veh/hr
and at the booths, drivers take an average of 10 seconds to pay their toll and accept
their change. Both the arrival and departure rates can be assumed to be exponentially
distributed.
a. If the design utilization ratio, ρ for each toll booth should not exceed 0.75, is the
4-toll booth scheme adequate?
b. Compute for the average queue length based on the design consideration
c. Compute for the average waiting time and average time spent in the system based on the
design consideration

Answer 1