Principles of Highway Engineering and Traffic Analysi (NEW!!)
Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
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Chapter 5, Problem 28P
To determine

The average length of the queue, the average time spent in the traffic and the average waiting time in the queue.

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A convenience store has four available parking spaces. The owner predicts that the duration of customer shopping (the time the customer's vehicle will occupy a parking space) is exponentially distributed with a mean of 6 minutes. The owner knows that in the busiest hour customer arrivals are exponentially distributed with a mean arrival rate of 30 customers per hour. What is the probability that a customer will not have an open parking space available when arriving at the store? Round off answer in four decimal places.
Civil Engineering On a certain bus terminal, there are two terminals that can travels to the south. The number of passengers going to the south arriving in the terminal is 150 persons per minute, and the number of people can ride the bus is 100 per minute. Both arrival and departure rates can be assumed to be exponentially distributed. 1.) What is the probability of having 0 passengers in the queue? a. 0.182 b. 0.375 c. 0.143 d. 0.209 2.) what is the average waiting time in queue? a. 0.771 b. 0.665 c. 0.714 d. 0.637
Vehicles arrive at a toll system at random at an average rate of 12 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following: 1 Average length of queue of vehicles 2. Average waiting time in a queue 3. Average time spent in a queue 4. If one toll ticket booth is closed and service time is reduced by 3 seconds, what are the Q, W and T of the system? And plot the arrival distribution curve for this traffic condition
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