PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Question
Chapter 5, Problem 51P
To determine
The probability that more than five vehicles will arrive in 1 minute interval.
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Supposed vehicles arrive at a signalized road intersection at an average rate of 360 veh/hr and the cycle of the traffic light is set at 40 seconds. In what percentage of cycles will the number of vehicles be arriving:
a. Exactly 5
b. Less than 5
If, after the lights change to green, there is time to clear only 5 vehicles before the signal changes to red again, what is the probability that waiting vehicles are not cleared in one cycle?
vehicles arrive at roadway section at a rate of 300 veh/h according to a Poisson distribution. During a 40 minute interval, how many of the headways will be greater than 4 seconds on average?
At time ? = 0, when the border inspection station was scheduled to open, eight vehicles were
already waiting in a queue in front of an inspection booth. Vehicles continued to arrive at a rate
of 4 veh/minute. The officer did not start the inspection until ? = 4 minutes. When ?≥4 minutes,
the barrier was lifted and vehicles left at a rate of 7.5 veh/minute. Draw the vehicle arrival and
departure curves in the following graph. From the graph, determine the maximum queue length
and the time the queue disappears. Assume D/D/1 queuing.
Chapter 5 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - The arrival rate at a parking lot is 6 veh/min....Ch. 5 - Prob. 16PCh. 5 - At the end of a sporting event, vehicles begin...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Vehicles begin arriving at a single toll-road...Ch. 5 - Vehicles begin to arrive at a toll booth at 8:50...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Vehicles begin to arrive at a parking lot at 6:00...Ch. 5 - At a parking lot, vehicles arrive according to a...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Vehicles arrive at a recreational park booth at a...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A truck weighing station has a single scale. The...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Vehicles leave an airport parking facility (arrive...Ch. 5 - Vehicles begin to arrive at a parking lot at 7:45...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - A theme park has a single entrance gate where...Ch. 5 - Prob. 54PCh. 5 - Prob. 55P
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- Data on a traffic accident recorded on a certain intersection for the past 7 years has an accident rate of 4288 per million entering vehicles (ARMV). If the average daily traffic entering the intersection is 492, find the total number of accidents during the 7-year period a.5390 b.5388 c.5391 d.5389arrow_forwardWhat is the probability that time headway is greater than or equal to 2 sec? Assume arrival rate of vehicle follows Poisson's distribution curve.arrow_forwardVehicles begin to arrive at a toll booth at 7:50 a.m. with an arrival rate of λ (t) = 5.2 – 0.01 t (with t in minutes after 7:50 a.m. and λ in vehicles per minute). The toll booth opens at 8:00 a.m. and serves vehicles at a rate of μ (t) = 3.3 + 2.4 t (with t in minutes after 8:00 a.m. and μ in vehicles per minute). Once the service rate reaches 10 veh/min, it stays at that level for the rest of the day. If queuing is D/D/1, when will the queue that formed at 7:50 a.m. be cleared?arrow_forward
- At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is also random with an average rate of 22 vehicles per minute. Estimate average waiting time of vehicles O 0.45 0.35 O 0.65 0.55arrow_forwardF] Vehicles travel at constant speeds on a one-lane one-way street between sections X and Y. An observer located at point X observes the four vehicles passing point X during a period of 10 seconds. The speeds of the vehicles are measured as 45, 45, 40, and 30mph, respectively. Calculate the average flow, density, time mean speed, and space mean speed.arrow_forwardA volume of 320 veh/h. Assume that the vehicle arrivals are Poisson distributed. What is the probability that the headway between successive vehicles more than 20 seconds? 18.20% 20.40% 14.60% 16.90%arrow_forward
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