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dc.contributor.authorCanepa, Edward S.
dc.contributor.authorClaudel, Christian G.
dc.date.accessioned2015-08-04T07:04:43Z
dc.date.available2015-08-04T07:04:43Z
dc.date.issued2012-09
dc.identifier.isbn9781467330640
dc.identifier.doi10.1109/ITSC.2012.6338639
dc.identifier.urihttp://hdl.handle.net/10754/564593
dc.description.abstractThis article presents a new mixed integer programming formulation of the traffic density estimation problem in highways modeled by the Lighthill Whitham Richards equation. We first present an equivalent formulation of the problem using an Hamilton-Jacobi equation. Then, using a semi-analytic formula, we show that the model constraints resulting from the Hamilton-Jacobi equation result in linear constraints, albeit with unknown integers. We then pose the problem of estimating the density at the initial time given incomplete and inaccurate traffic data as a Mixed Integer Program. We then present a numerical implementation of the method using experimental flow and probe data obtained during Mobile Century experiment. © 2012 IEEE.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.titleExact solutions to traffic density estimation problems involving the Lighthill-Whitham-Richards traffic flow model using mixed integer programming
dc.typeConference Paper
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentDistributed Sensing Systems Laboratory (DSS)
dc.identifier.journal2012 15th International IEEE Conference on Intelligent Transportation Systems
dc.conference.date16 September 2012 through 19 September 2012
dc.conference.name2012 15th International IEEE Conference on Intelligent Transportation Systems, ITSC 2012
dc.conference.locationAnchorage, AK
kaust.personClaudel, Christian G.
kaust.personCanepa, Edward S.


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