SOME OPERATING CHARACTERISTICS OF FIXED-TIME SIGNALS WITH RANDOM ARRIVALS

THE MODEL IS ONE IN WHICH VEHICLES ARRIVE AT RANDOM AT FIXED-TIME SIGNALS AND A CONSTANT NUMBER CAN BE SERVED DURING EACH GREEN. FORMULAE AND NUMERICAL VALUES ARE GIVEN FOR THE PROBABILITY OF CLEARING THE QUEUE, THE AVERAGE NUMBER OF VEHICLES LEFT IN THE QUEUE AT THE END OF A PHASE, AND THE AVERAGE DELAY PER VEHICLE. AN APPROXIMATE FORMULA IS DERIVED FOR THE "LEAD FACTOR", THAT IS THE PROPORTION OF SATURATED PHASES. THE EFFECT UPON THE OPERATING CHARACTERISTICS OF DEPARTURES FROM THE ASSUMPTIONS IS DISCUSSED, AS ALSO ARE CRITERIA FOR A TOLERABLE LEVEL OF CONGESTION. THE DERIVATION OF APPROXIMATIONS FOR THE PROBABILITY OF CLEARING THE QUEUE AND FOR THE AVERAGE NUMBER LEFT IN THE QUEUE AT THE END OF A PHASE IS DESCRIBED IN THE APPENDIX. /RRL/A/

• Supplemental Notes:
  • 29 Pp, 13 FIG, 2 TAB, 10 REF
• Corporate Authors:

  University of New South Wales. Institute of Highway and Traffic Research

  ,    
• Authors:
  • Miller, A J
• Publication Date: 1969-2

Subject/Index Terms

• TRT Terms: Formulas; Mathematical models; Pretimed traffic signal controllers; Probability theory; Queuing; Traffic congestion; Traffic signals
• Uncontrolled Terms: Models
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00225291
• Record Type: Publication
• Source Agency: Road Research Laboratory /UK
• Files: TRIS
• Created Date: Apr 13 1970 12:00AM