DELAYS ON A TWO-LANE ROAD

THE FOLLOWING PROBLEM IS CONSIDERED: TWO STREAMS OF TRAFFIC CAN MOVE FREELY EVERYWHERE ALONG A TWO-LANE, TWO- WAY ROAD EXCEPT ALONG A PORTION AB WHICH IS ONE-WAY IN EITHER DIRECTION. THEY CAN CROSS THIS PORTION ONLY WHEN IT IS NOT OCCUPIED BY A CAR MOVING IN THE OPPOSITE DIRECTION. CARS CAN MOVE ALONG AB, OR BA, WITH CONSTANT HEADWAYS AND CONSTANT SPEEDS. ONLY THE CASE OF TRAVEL TIME GREATER THAN THE HEADWAY IS CONSIDERED IN THIS PAPER, AND AS A CONSEQUENCE THE DIRECTION OF FLOW ALONG AB CANNOT BE REVERSED UNTIL THE QUEUE BEING SERVED IS COMPLETELY EXHAUSTED. IT IS ASSUMED THAT THE ARRIVAL RATES ALONG THE TWO DIRECTIONS ARE LOW ENOUGH SO THAT A STATIONARY SOLUTION EXISTS, I.E. QUEUES ALWAYS CLEAR THEMSELVES GIVEN SUFFICIENT TIME. THE OBJECTIVE OF THE PAPER IS TO FIND THE MEAN DELAY ALONG BOTH DIRECTIONS DUE TO THE INTERFERENCE OF THE TWO QUEUES. THE AUTHOR OBTAINS GENERAL EQUATIONS RELATING THE MOMENT GENERATING FUNCTIONS OF THESE DELAYS WITH THOSE OF THE TWO RANDOM STREAMS. A GENERAL SOLUTION OF THESE EQUATIONS IS NOT EASY TO OBTAIN. A SOLUTION IS GIVEN FOR THE CASE WHEN THE HEADWAY AND/OR CROSSING TIME ALONG ONE DIRECTION ARE ZERO. THIS LATTER CASE HAS AN OBVIOUS INTERPRETATION AS THE CROSSING OF PEDESTRIANS AT AN UNCONTROLLED INTERSECTION.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/09641998
• Supplemental Notes:
  • Series B, VOL 23, PP 38-63 & 76-90
• Corporate Authors:

  Royal Statistical Society

  21 Bentinck Street
  London W1M 6AR,   England 
• Authors:
  • TANNER, J C
• Publication Date: 1961

Media Info

• Serial:
  • JOURNAL OF THE ROYAL STATISTICAL SOCIETY
  • Publisher: Blackwell Publishers
  • ISSN: 0964-1998

Subject/Index Terms

• TRT Terms: Equations; Headways; One way traffic; Queuing; Traffic congestion; Traffic delays; Travel time; Two lane highways
• Uncontrolled Terms: Two way traffic
• Old TRIS Terms: Traffic interference
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00225265
• Record Type: Publication
• Files: TRIS
• Created Date: Feb 16 2003 12:00AM