ON ROAD TRAFFIC WITH FREE OVERTAKING

THE CARS ARE CONSIDERED AS POINTS ON AN INFINITE ROAD WITH NO INTERSECTIONS. THEY CAN OVERTAKE EACH OTHER WITHOUT ANY DELAY AND THEY TRAVEL AT CONSTANT SPEEDS. THESE ARE INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES ALSO INDEPENDENT OF THE INITIAL POSITIONS OF THE CARS. THE MAIN PURPOSE IS THE STUDY OF THE ASYMPTOTIC DISTRIBUTION FOR THE NUMBER OF OVERTAKINGS (AND/OR MEETINGS) IN INCREASING RECTANGLES IN THE TIME-ROAD PLANE. UNDER THE ASSUMPTION OF (WEIGHTED) POISSON DISTRIBUTED CARS ALONG THE TIME-AXIS THE ASYMPTOTIC DISTRIBUTION IS DEDUCED FROM THE STANDARDIZED NUMBER OF OVERTAKINGS (AND/OR MEETINGS) FOR LARGE RECTANGLES IN THE TIME-ROAD PLANE. /AUTHOR/

• Supplemental Notes:
  • Vol 6, No 3, PP 524-549
• Authors:
  • Thedeen, T
• Publication Date: 1969-12

Media Info

• Serial:
  • Journal Applied Probability /UK/

Subject/Index Terms

• TRT Terms: Automobiles; Highways; Passing; Time
• Subject Areas: Highways; Safety and Human Factors;

Filing Info

• Accession Number: 00223164
• Record Type: Publication
• Files: TRIS
• Created Date: May 13 1970 12:00AM