ON CONTINUUM MODELLING OF LARGE DENSE NETWORKS IN URBAN ROAD TRAFFIC

This contribution discusses a continuum model of large discrete networks in planar domains. For this model, the Kirchhoff law, boundary conditions and capacity constraints lead in a system optimisation approach to an infinite dimensional constrained optimisation problem and to "mixed" variational inequalities. Mixed finite element methods can be formulated for these variational inequalities such that computable discretizations of the continuum problem are obtained.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0080434304
• Supplemental Notes:
  • This book is also available in the USA and Canada from Elsevier Science Inc., P.O. Box 945, Madison Square Station, New York, NY 10160-0757.
• Corporate Authors:

  Elsevier

  The Boulevard, Langford Lane
  Kidlington, Oxford  United Kingdom  OX5 1GB
• Authors:
  • Gwinner, J
• Conference:
  • Third IMA International Conference on Mathematics in Transport Planning and Control
  • Location: Cardiff, United Kingdom
  • Date: 1998-4-1 to 1998-4-3
• Publication Date: 1998

Language

• English

Media Info

• Features: References;
• Pagination: p. 321-330

Subject/Index Terms

• TRT Terms: Continuum (Mathematics); Finite element method; Mathematical models; Networks; Optimization; Traffic flow; Urban highways
• Uncontrolled Terms: Discretization
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00763036
• Record Type: Publication
• ISBN: 0080434304
• Files: TRIS
• Created Date: Apr 13 1999 12:00AM