Efficient Evaluation of the Measure of Effectiveness of the Lighthill-Whitham-Richards Traffic Flow Model on a Homogeneous Highway

In this paper, we discuss the efficient evaluation of the measure of effectiveness of the analytical shock-fitting algorithm that was developed to solve the well-known Lighthill-Whitham-Richards traffic flow model when it is embedded with a linear speed-density relationship or parabolic fundamental diagram. We develop explicit expressions to calculate the measure of effectiveness – which is the travel time that is incurred by travelers, within the space-time region that is encompassed by the shocks and/or characteristic lines. A numerical example is used to illustrate the effectiveness and efficiency of the proposed method compared to the numerical solutions that are obtained by a fifth-order weighted essentially non-oscillatory scheme.

Language

  • English

Media Info

  • Media Type: CD-ROM
  • Features: Figures; References; Tables;
  • Pagination: 22p
  • Monograph Title: TRB 86th Annual Meeting Compendium of Papers CD-ROM

Subject/Index Terms

Filing Info

  • Accession Number: 01049340
  • Record Type: Publication
  • Report/Paper Numbers: 07-0296
  • Files: TRIS, TRB
  • Created Date: Feb 8 2007 4:50PM