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The average velocity in a queue

Frette, Vidar
Journal article, Peer reviewed
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ejp9_3_008[1].pdf (204.9Kb)
URI
http://hdl.handle.net/11250/151359
Date
2009
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  • Institutt for sikkerheit, kjemi- og bioingeniørfag [443]
Original version
European journal of physics, 30, 497-514  
Abstract
A number of cars drive along a narrow road that does not allow overtaking.

Each driver has a certain maximum speed at which he or she will drive if alone

on the road. As a result of slower cars ahead, many cars are forced to drive

at speeds lower than their maximum ones. The average velocity in the queue

offers a non-trivial example of a mean value calculation. Approximate and

exact results are obtained using sampling, enumeration and calculations. The

geometrical nature of the problem as well as the separate levels of averaging

involved are emphasized. Further problems suitable for exploration in student

projects are outlined.
Publisher
Institute of physics

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