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dc.contributor.advisorSeibold, Benjamin
dc.creatorSomers, Julia Marie
dc.date.accessioned2020-11-05T15:02:01Z
dc.date.available2020-11-05T15:02:01Z
dc.date.issued2015
dc.identifier.other931912248
dc.identifier.urihttp://hdl.handle.net/20.500.12613/3592
dc.description.abstractWe 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.
dc.format.extent71 pages
dc.language.isoeng
dc.publisherTemple University. Libraries
dc.relation.ispartofTheses and Dissertations
dc.rightsIN 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.
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMathematics
dc.subjectApplied Mathematics
dc.subjectTransportation Planning
dc.subjectApplied Mathematics
dc.subjectCoupling Conditions
dc.subjectMacroscopic Traffic Models
dc.subjectQueuing
dc.subjectTraffic Engineering
dc.titleMacroscopic Coupling Conditions with Partial Blocking for Highway Ramps
dc.typeText
dc.type.genreThesis/Dissertation
dc.contributor.committeememberKlapper, Isaac
dc.contributor.committeememberPiccoli, Benedetto, 1968-
dc.description.departmentMathematics
dc.relation.doihttp://dx.doi.org/10.34944/dspace/3574
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.degreeM.S.
refterms.dateFOA2020-11-05T15:02:01Z


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