6-A toll booth on a turnpike is open from 8:00 A.M. to 12 midnight. Vehicles start arriving at 7:45 A.M. at a uniform deterministic rate of six per minute until 8:15 A.M. and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine when the queue will dissipate, the total delay, the maximum queue length (in vehicles) and the longest vehicle delay.

6-A toll booth on a turnpike is open from 8:00 A.M. to 12 midnight. Vehicles start arriving at 7:45 A.M. at a uniform deterministic rate of six per minute until 8:15 A.M. and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine when the queue will dissipate, the total delay, the maximum queue length (in vehicles) and the longest vehicle delay.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The following data were taken on five vehicles travelling consecutively 1.5 km portion of the NLEX. Vehicle Time (minute) 1 1.2 1.0 3 1.4 4 1.3 1.1 Determine the time mean speed (kph) 76.07 75.00 O 76.00 O 75.07 2.
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?
At 10 am, vehicles arrive at a toll booth facility at the rate of 480vehicles/hour. Initially, the toll booth is closed from 10:00 am until 10:15 am. Then it opens from 10:15with a service rate of 6 seconds per vehicle. Assuming D/D/1 queuing, determine:(1) At what time queue disappears? (2) What is the total delay? (3) What is the maximum Queuelength? (4) What is the queue length at 10:00 am? (5) What is maximum delay? (6) What is thedelay for the 140th and 170th vehicle?
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.
7. The following table shows traffic flow data collected at the main road in an urban area, in two successive days during the peak period Day one Flow (veh) Day two Time Flow (veh) 7:30 – 7:45 7:45 – 8:00 900 950 960 8:00 – 8:15 1010 1015 8:15 – 8:30 990 980 (a) Determine the peak hour factor (PHF) (b) Estimate the missing traffic flow count (x) on day two.
QUESTION 4 What is the time between the arrival of a vehicle and the arrival of the next vehicle, as measured at a given point on the roadway. spacing headway gap O none of the above
An observer notes that an approach to a pretimed signal, the time it will take the queue to clear after the start of the effective green (assuming that approach capacity exceeds arrivals and D/D/1 queuing applies) is 60 s. If the saturation flow rate is 1440 veh/h and the effective red time is 40 seconds, what is the maximum number of vehicles in a queue in a given cycle?
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
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?
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.
HIKI TO D OSHITENOJ ON DE No. Date 3 A parking facility operates from 8 a.m. to 6p.m, whereby 20% of those who wish to park are turned back daily because of lack of space. A total of 200. vehicles are able to park daily of which 60% park for an average parking duration of 9 hours and the remaining park For an average parking duration of 2 hours. From a survey of the vehicles who are not able to park daily it is known that 20% of these vehicles desire to park for 9 hours and the For 2 hours. remaining desire to Park If the parking efficiency is 0.9, determine: Li) the number of additional space hours required? (ii) the additional number of parking bays required in order to meet excess demand?