PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 5, Problem 20P

Vehicles begin arriving at a single toll-road booth at 8:00am at a time-dependent deterministic rate of λ ( t ) = 2 + 0.1 t [with λ ( t ) in veh/min and t in minutes]. At 8:07 A.M. the toll booth opens and vehicles are serviced at a constant deterministic rate of 6 veh/min. Assuming D/D/1 queuing, what is the average delay per vehicle from 8:00 A.M. until the initial queue clears and what is the delay of the 20th vehicle to arrive?

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