Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 8, Problem 26P
To determine
The queue service length for each phase.
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Vehicles are approaching east of a stop signal traveling at 56 km/h, with a density of 46 vehicles/km/lane. The duration of the red signal indication for this approach is 30 seconds. If the saturation flow is 1900 vehicles/hr/lane with a density of 52 vehicles/km/lane and the congestion density is 125 vehicles/km/lane, determine the length of the queue at the end of the red phase. Assume the ShockWave model for the respective analysis.
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Chapter 8 Solutions
Traffic and Highway Engineering
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28P
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- The minimum cycle length for an intersection is determined to be 95 seconds. The critical lane group flow ratios were calculated as 0.235, 0.250, 0.170, and 0.125 for phases 1–4, respectively. What Xc was used in the determination of this cycle length, assuming a lost time of 5 seconds per phase?arrow_forwardThe rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 45 veh/hr, and the rate of service to vehicles can be assumed to be exponentially distributed with a mean of 1 min. (a) What is the average number of vehicles waiting to be served at the booth (that is, the number of vehicles in queue, not including the vehicle being served)? (b) What is the length of the ramp required to provide storage for all exiting vehicles 90% of the time? Assume the average length of a vehicle is 18 ft and that there is an average space of 10 ft between consecutive vehicles waiting to be served. (c) What is the average waiting time a driver waits before being served at the tollbooth (that is, the average waiting time in the queue)?arrow_forwardThe saturation flow for an intersection approach is 3600 veh/h. At the beginning of cycle no vehicles are queued. The signal is timed so that what the queue is 13 vehicles the effective green begins. If the queue dissipates 8 seconds before the end of the cycle and the cycle length is 60 seconds. What is the arrival rate assuming D/D/1 queuing?arrow_forward
- The arrival rate at a parking lot is 6 veh/min. Vehicles start arriving at 6:00 P.M., and when the queue reaches 36 vehicles, service begins. The company policy states that the total vehicle delay should be equal to 500 veh-min. Assuming D/D/1 queuing and a constant service rate, determine the maximum queue length.arrow_forward2. A public administration holds its flag ceremonies every Monday from 07:00 am –07:15 am. During the singing of National Anthem –which lasts for 2 minutes –all drivers stop in front of the building as a sign of respect. a.Determine the maximum length of queue formed. b.Estimate the time required for the traffic flow to be back to normal.arrow_forwardThe arrival rate at a parking lot is 6 veh/min. Vehicles start arriving at 6:00 P.M., and when the queue reaches 36 vehicles, service begins. The company policy states that the total vehicle delay should be equal to 500 veh-min. Assuming D/D/1 queuing and a constant service rate, determine the average delay of any vehicle.arrow_forward
- Compute the average approach delay per cycle, given the saturation flow rate of 2400 veh/h and is allocated 24 seconds of effective green in an 80-second signal cycle. Flow at the approach is 500 veh/h. Assume the traffic flow accounts for the peak 15-min period and that there is no initial queue at the start of the analysis period.arrow_forwardVehicles arrive at the entrance of the new extension of NLEX. There is a single toll gate at which all vehicles must stop where a toll attendant distribute a trip ticket. The toll opens at 6:00AM at which vehicles begin to arrive at the rate of 8 vehicles per minute. After 20 minutes, the arrival flow rate declines to 2 vehicles per minute and it continues at that level for the remainder of the day. If the time required to distribute the trip ticket is 15 seconds, determine the time the queue dissipates.arrow_forwardTRANSPORTATION ENGINEERING-TRAFFIC SIGNALS" Recent analysis at an approach to pre-time signalized intersection indicate that the volume-to-capacity ratio (v/c) is 0.8, htat saturation flow rate (s) is 1600 vehicles/hour, and the effective green time is 50 seconds. If the average delay, assuming D/D/1 is 11.25 seconds per vehicle, determine the arrival flow rate (vehicles/hour) and the cycle length.arrow_forward
- The average queue length at the intersection of the two roads with a stop sign is 4 vehicles. If the arrival rate of vehicles at the stop sign is 300 veh/hr, determine the service rate of the road in veh/hr. Assume both arrival and departure rates are exponentially distributed.arrow_forwardA stop sign is installed in one of the road intersection. Rate of arrival at a stop sign is 300 veh/hr and the average waiting time at the stop sign is 10 sec. per vehicle. If both arrivals and departures are exponentially distributed, determine the average queue length (in vehicles).arrow_forwardAn intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. (1) Calculate the sum of the flow ratios for the critical lane groups. (2) calculate the minimum cycle length and the effective green time for each phase (balancing v/c for the critical lane groups). Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired.arrow_forward
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