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 42P

Vehicles begin to arrive at a parking lot at 7:45 A.M. at a constant rate of 4 veh/min and continue to arrive at that rate throughout the day. The parking lot opens at 8:00 A.M. and vehicles are processed at a constant rate of one vehicle every 10 seconds. Assuming D/D/1 queuing, what is the longest queue, the queue at 8:15 A.M., and the average delay per vehicle from 7:45 A.M. until the queue clears?

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Passenger car arrive at the stop sign at an average rate of 280 per hour. Average waiting time at the stop sign is 12 sec. If both arrivals and departure are exponentially distributed, what would be the average delay per vehicle in minutes. Assume both arrival and departure rates are exponentially distributed.
Vehicles begin to arrive at a park entrance at 7:45 A.M. at a constant rate of six per minute and at a constant rate of four vehicles per minute from 8:00 A.M. on. The park opens at 8:00 A.M. and the manager wants to set the departure rate so that the average delay per vehicle is no greater than 9 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum departure rate needed to achieve this
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