PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Question
Chapter 8, Problem 4P
To determine
The expected number of peak hour social/recreational trips and the probability that household will not make a peak hour social/recreational trip.
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Question 2
Trucks begin to arrive at a truck weighing station (with a single scale) at 8:00
A.M. at a deterministic time-varying rate of λ (t) = 5.2 - 0.24t [X(t) is in veh/min
and t in minutes]. The departure rate is a constant 2.2 veh/min (time to weigh
a truck is 27.27 seconds).
(i) When will the queue that forms be cleared?
(ii) What will be the maximum queue length?
(iii) Determine the total delay
(iv) Estimate the average time delay per vehicle
Number of road accident on a road in a month follows Poisson's distribution with mean 0.27. The probability of occurrence more than 3 road accident on a road in a
randomly selected year is
(Upto two decimal place).
After observing arrivals and departures at a highway toll booth over a 60-minute time period, an observer notes that the arrival and departure rates (or service rates) are deterministic, but instead of being uniform, they change over time according to a known function. The arrival rate is given by the function, ?(?) = 2.2 + 0.17? − 0.0032?^2, and the departure rate is given by ?(?) = 1.2 + 0.07?, where t is in minutes after the beginning of the observation period and ?(?) and ?(?) are in vehicles per minute. Determine the total vehicle delay at the toll booth and the longest queue, assuming D/D/1 queuing.
Chapter 8 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
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. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39P
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