A Single-Car Interaction Model Of Traffic

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A Single-CarInteractionModel 223 A Single-Car Interaction Model of Traffic for a Highway Toll Plaza Ivan Corwin Sheel Ganatra Nikita Rozenblyum Harvard University Cambridge, MA Advisor: Clifford H. Taubes Summary We find the optimal number of tollbooths in a highway toll-plaza for a given number of highway lanes: the number of tollbooths that minimizes average delay experienced by cars. Making assumptions about the homogeneity of cars and tollbooths, we create the Single-Car Model, describing the motion of a car in the toll-plaza in terms of safety considerations and reaction time. The Multi-Car Interaction Model, a real-time traffic simulation, takes into account global car behavior near tollbooths and merging areas. Drawing on data from the Orlando-Orange Country Expressway Authority, we simulate realistic conditions. For high traffic density, the optimal number of tollbooths exceeds the number of highway lanes by about 50%, while for low traffic density the optimal number of tollbooths equals the number of lanes. The text of this paper appears on pp. 299-315. The ULvMAP Journal26 (3) (2005) 223. @Copyright 2005 by COMAP, Inc. All rights reserved. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice. Abstracting with credit is permitted, but copyrights for components of this work owned by others than COMAP must be honored. To copy otherwise, to republish, to post on servers, or to redistribute to lists requires prior permission from COMAP. A Single-Car hiteractionModel 299 A Single-Car Interaction Model of Traffic for a Highway Toll Plaza Ivan Corwin Sheel Ganatra Nikita Rozenblyum Harvard University Cambridge, MA Advisor: Clifford H. Taubes

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