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

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