NON-INTEGER CAR-FOLLOWING MODELS

AN INVESTIGATION WAS MADE OF A CONTINUUM OF NON-INTEGER CAR FOLLOWING MODELS FOR THE DEVELOPMENT OF DETERMINISTIC FLOW MODELS, WHICH DESCRIBE INTERRELATIONSHIPS BETWEEN FLOW CHARACTERISTICS. GAZIS AND OTHERS HAVE DEVELOPED THE GENERALIZED CAR FOLLOWING EQUATION. GAZIS AND DREW HAVE SHOWN THAT THERE IS A RELATION BETWEEN CAR FOLLOWING MODELS AND MACROSCOPIC MODELS. THROUGH SUCH INTERRELATIONSHIPS, MICROSCOPIC AND MACROSCOPIC MODELS CAN BE MUTUALLY COMPARED. THEORETICAL AND EMPIRICAL MODELS WERE TESTED AGAINST A DATA SET FROM THE EISENHOWER EXPRESSWAY IN CHICAGO. THE PROCEDURE OF EVALUATION USED LINEAR REGRESSION ANALYSIS TO DETERMINE ESTIMATED SPEED-DENSITY CURVES. THE CURVES WERE EVALUATED BY A STATISTICAL METHOD /MINIMIZATION OF THE MEAN DEVIATIONS OF THE DATA POINTS FROM THE REGRESSION CURVE/ AND THE APPLICATION OF TRAFFIC FLOW CHARACTERISTICS AS EVALUATION CRITERIA. MODELS OF BEST FIT HAVE BEEN OBTAINED FROM /CONTINUUM/ PLANE IN WHICH CONTOUR MAPS OF MEAN DEVIATION AND CRITICAL FLOW CHARACTERISTIC LEVELS WERE GRAPHICALLY SUPERIMPOSED. THE SUPERPOSITION THEN LIMITS AREA COMBINATIONS WHICH FULFILL THE CRITERIA OF EVALUATION. THE STUDY STRESSES THE IMPORTANT INFLUENCE OF THE FLOW CHARACTERISTICS ON THE EVALUATION. MAINLY, THE CRITICAL LEVEL OF THE FREE SPEED, JAM DENSITY, AND MAXIMUM FLOW IS VERY SIGNIFICANT AND IMPOSES GREAT RESTRICTIONS ON THE SELECTION OF APPROPRIATE MODELS.

• Record URL:
  http://onlinepubs.trb.org/Onlinepubs/hrr/1967/199/199-002.pdf
• Supplemental Notes:
  • Paper sponsored by Committee on Theory of Traffic Flow and presented at the 46th Annual Meeting. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved
• Authors:
  • May Jr, Adolf D
  • Harmut, E M Keller
• Publication Date: 1967

Media Info

• Media Type: Print
• Features: Figures; References;
• Pagination: pp 19-32
• Monograph Title: Mathematical and statistical aspects of traffic
• Serial:
  • Highway Research Record
  • Issue Number: 199
  • Publisher: Highway Research Board

Subject/Index Terms

• TRT Terms: Car following; Crash investigation; Empirical methods; Equations; Mathematical models; Regression analysis; Statistical analysis; Studies; Testing; Theory; Traffic density; Traffic flow; Traffic simulation; Traffic speed
• Uncontrolled Terms: Data; Models
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management; Safety and Human Factors;

Filing Info

• Accession Number: 00222657
• Record Type: Publication
• Files: TRIS, TRB
• Created Date: Feb 2 1994 12:00AM