The Laplace Transform of the Linear Car-following Model

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	Please note that the full text is embargoed 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