Operational Performance of a Double-Lane Roundabout with Additional Lane Length Design: Lighthill-Whitham-Richards Model Analysis

Abstract : There is a general notion among transportation professionals that having a longer additional lane length at a double-lane roundabout entry yields better performances. This paper investigates this notion using Lighthill-Whitham-Richards Model Analysis. Using Lighthill-Whitham-Richards model, a double-lane roundabout with additional lane design at the entry is analyzed. The additional lane lengths are varied at the entry in order to study the effect of different additional lane lengths on roundabout performance. A scalar hyperbolic partial differential equation (PDE) model for traffic velocity evolution based on the seminal Lighthill-Whitham-Richards (LWR) PDE for density is used. Equivalence of the solution of the velocity PDE and the solution of the LWR PDE is shown for quadratic flow rate functions. The results were then compared with similar lane length variations in VISSIM. The findings from this study are intended to provide transportation professionals with the ability to assess the effects of geometric design changes on operational performance. From the analysis presented in this paper, the delay and speed can be predicted from knowledge of the geometric parameters. While the design of an additional lane differs from a flared entry, findings from this study can also be applied to flare lengths if they are designed to operate in a similar fashion as additional lane entry used in this study.
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Contributor : Maria Laura Delle Monache <>
Submitted on : Wednesday, June 20, 2018 - 10:46:23 AM
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Samuel Hammond, Anaïs Rat, Maria Laura Delle Monache, Benedetto Piccoli. Operational Performance of a Double-Lane Roundabout with Additional Lane Length Design: Lighthill-Whitham-Richards Model Analysis. TRB 2018 - Transportation Research Board 97th Annual Meeting, Jan 2018, Washington, D.C., United States. pp.1-14. ⟨hal-01819238⟩

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