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The Laplace Transform of the Linear Car-following Model

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The Laplace Transform of the Linear Car-following Model

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dc.contributor.author Ardekani, Siamak en
dc.contributor.author Ghandehari, Mostafa en
dc.date.accessioned 2010-06-03T18:03:36Z en
dc.date.available 2010-06-03T18:03:36Z en
dc.date.issued 2008 en
dc.identifier.uri http://hdl.handle.net/10106/2327 en
dc.description.abstract Laplace transform is used to analyze the differential-difference equation for the linear car-following model. The car-following model has been developed to describe the dynamics of a platoon of vehicles initially traveling at uniform speed and spacing when the lead vehicle introduces a perturbation by decelerating or accelerating. Shifting theorem and the convolution theorem for Laplace transforms are used to model fluctuations in velocities and spacing of following vehicles as a function of the deceleration or acceleration of the lead car when the initial velocity and spacing are given. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;358 en
dc.subject Laplace transform en
dc.subject Car-following model en
dc.subject Perturbation
dc.subject Convolution theorem en
dc.subject Shifting theorem en
dc.subject.lcsh Laplace transformation en
dc.subject.lcsh Mathematics Research en
dc.subject.lcsh Traffic flow en
dc.title The Laplace Transform of the Linear Car-following Model en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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