At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. Theservice has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is alsorandom with an average rate of 22 vehicles per minute.Estimate average waiting time of vehiclesO 0.450.35O 0.650.55

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Answered: At the exit of a toll gate with a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.
The average number of collisions on Rt. 116 in South Deerfield is 15 per year. To address the high crash rate, a signal has been installed to make right-of-way explicit. The number of accidents in the following year was 9. MassDOT desires to know with how much confidence this reduction of accidents can be attributed to anything other than random chance.
A toll booth on a temple is open from 8:00 AM to 12 midnight. Vehicles start arriving at 7:45 AM at a uniform deterministic rate of six per minute until 8:15 AM and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine the (a) time of queue dissipation in minutes (b) total number of vehicles in queue and (c) total vehicle delay
Calculate the total flow rate of vehicles from the following data : Time period Volume (vehicles ) 4:00- 4:15 (700) 4:15- 4:30 (812) 4:30- 4:45 (1635) *
1) The number of accidents has been recorded at an intersection in the last three years as follows: 18, 21, and 19. The accidents were mostly due to left-turning vehicles, speeding, and the absence of left-turn protection. The average ADT for the last 3 years is 8500. The following shows the crash reduction factor for various countermeasures: Countermeasure Reduction Factor Retime signals Provide left-turn signal phase Reduce speed limit on approaches Provide turning guide lines 0.30 0.30 0.35 0.05 a) Determine the appropriate countermeasures b) Determine the expected reduction in crashes if the countermeasures are implemented. The ADT is expected to increase 2%
a) What is the length of the longest queue in vehicles? b) How many minutes after the crash occurs does the queue clear in mins?
Fi ho
An expressway consists of four lanes, where the capacity per lane is 2500 vehicles. In normal days, 6500 vehicles pass. However, there is an emergency road repair conducted in which two lanes will be closed. The repair lasted 150 minutes. Calculate the maximum queue length, total length, and number of vehicles impacted by the event, and average individual delay.
13. An incident that occurs on a particular highway results in traffic incurring an average delay of one hour per vehicle. An estimated 2,000 vehicles are impacted by the incident. If the distribution of traffic is comprised of 5% five-axle trucks, 2% three-axle trucks, 4% six-tire trucks, 2% four-tire trucks, 4% medium auto for business purposes, 3% small auto for business purposes, and the remainder are automobiles for personal purposes, what is the value of the total delay incurred by the traffic.

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