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University of Massachusetts Amherst

Daiheng Ni

Diverge.

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Simplified Kinematic Waves At A Diverge, Daiheng Ni, John D. Leonard Jan 2004

Simplified Kinematic Waves At A Diverge, Daiheng Ni, John D. Leonard

Daiheng Ni

Queuing at a diverge is an interesting but soph isticated phenomenon wher e one stream of traffic is split into two or more. It is generally not a problem when downstream supplies are sufficient to accommodate upstream demand. If, however, the demand does exceed the supplies, congestion will back onto upstream link and constrain traffic there. This paper, based on analyzing diverging behavior, reviews the existing models and proposes a contribution-based weighted splitting (CBWS) diverge model that takes into consideration queuing from different diverging branches. Based on this, Newell’s simplified theory of kinematic waves is extended to incorporate diverges.