An existing toll road has an average traffic volume around 6,000 vehicles per day. A project is proposed to widen the toll road to increase the road capacity. It is projected that the traffic volume would increase to 10,000 vehicles if the toll rate is reduced from $5 to $4 per vehicle. Assume that the toll rate is the only factor affecting the traffic volume on the toll road.

A student records the number of vehicles that pass through a toll road lane, as shown in the following list Calculate: (b) what is the busiest current rate for each 5 minute period?

Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/min (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collect tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue?

The Department of Traffic is considering three improvement plans for a heavily traveled road within the city. The road improvement is expected to achieve three goals: improve travel speeds, increase safety, and reduce operating expenses for motorists. The annual dollar value of savings compared with existing conditions for each criterion and additional construction and maintenance costs is shown in Table 1. If the economic life of the road is considered to be 53 years and the discount rate is 4%, which alternative should be selected? Evaluate the two proposals based on economic evaluation criteria using the Net Present Worth (NPW) and benefit-cost ratio (BCR) methods for economic analysis.

At exactly 8:00 AM, vehicles start to enter a single toll gate at a rate of 8 veh/min following a deterministic distribution. Due to the teller being late, the toll booth opened at 8:10 AM having a service rate of 10 veh/min following a deterministic distribution. What is the Maximum Queue Length in the system? o 70 vehicles o 90 vehicles o 80 vehicles o 60 vehicles

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A bridge has been constructed between the mainland and an island. The total cost (excluding tolls) to travel across the bridge is expressed as C- 50 + 0.5V, where V is the number of veh/hr and Cis the cost/vehicle in cents. The demand for travel across the bridge is V- 2500 - 10C. (a) Determine the volume of traffic across the bridge. (b) If a toll of 25 cents is added, what is the volume across the bridge? What volume would be expected with a 50 cent increase? 155 (c) A tollbooth is to be added, thus reducing the travel time to cross the bridge. The new cost function is C- 50 + 0.2V. Determine the volume of traffic that would cross the bridge. (d) Determine the toll to yield the highest revenue for demand and supply function in part (a), and the associated demand and revenue

Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/min (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collect tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue?