Macroscopic Coupling Conditions with Partial Blocking for Highway Ramps

We consider the Lighthill-Whitman-Richards traffic model on a network consisting of a highway with an off ramp, connected by a junction. We compare the known coupling conditions for the evolution of traffic at the junction and suggest a novel improvement to the existing conditions. That is, we resolve the spurious effects that arise in standard models, namely clogging of the main highway and vehicle destination changes. We achieve this by tracking vehicle density buildup in the form of a queue, which is modeled by an ODE. We define the solution to the Riemann problem at the junction using the supply and demand functions. The numerical approximation is carried out using a modified Godunov scheme, adjusted to take into account the effects of an emptying queue. Exact and numerical comparisons of the model with existing models verify that the number of vehicles who wish to exit are preserved and the nonphysical clogging of the main highway does not occur.

Grantor dc:publisher

Temple University. Libraries

Year dc:date.issued

2015

Author dc:creator

• Somers, Julia Marie

Advisor dc:contributor.advisor

• Seibold, Benjamin

Committee members dc:contributor.committeemember

• Klapper, Isaac
• Piccoli, Benedetto, 1968-

• Mathematics
• Applied mathematics
• Transportation planning
• Coupling conditions
• Macroscopic traffic models
• Queuing
• Traffic engineering

Statement dc:rights

• IN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

eng

Dc Identifier Other

931912248

OAI identifier oai:identifier

oai:scholarshare.temple.edu:20.500.12613/3592