EXISTENCE OF A TIME-DEPENDENT EQUILIBRIUM DISTRIBUTION OF ARRIVALS AT A SINGLE BOTTLENECK

The paper gives conditions which guarantee the existence of an equilibrium arrival pattern at a single bottleneck. In the model, the times at which a driver wishes to leave the bottleneck depend on the driver. The equilibrium queue length in this model always has a continuous time derivative everywhere. However, the slope of the equilibrium cumulative arrival distribution is discontinuous at the beginning and end of congestion. The authors suppose that each car driver has only one reasonable route for his journey to work and that all routes pass through a single bottleneck. The only choice open to drivers, in our model, is that of their time of departure for work.

• Availability:
  • Find a library where document is available. Order URL: https://www.library.northwestern.edu/find-borrow-request/requests-interlibrary-loan/lending-institutions.html
• Authors:
  • Smith, M J
• Publication Date: 1984-11

Media Info

• Features: References;
• Pagination: p. 385-394
• Serial:
  • Transportation Science
  • Issue Number: 4
  • Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
  • ISSN: 0041-1655
  • Serial URL: http://transci.journal.informs.org/

Subject/Index Terms

• TRT Terms: Bottlenecks; Departure time; Highway transportation; Length; Mathematical methods; Mathematical models; Mechanical equilibrium; Probability; Queuing; Queuing theory; Route choice; Time dependence; Time domain analysis; Traffic congestion; Traffic control; Traffic equilibrium; Work trips
• Old TRIS Terms: Queueing delay; Queueing theory; Time dependent parameters; Time-dependent pattern of arrivals
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 00393383
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: May 31 1985 12:00AM