A SIMPLE RENEWAL MODEL OF THROUGHPUT AT AN OVERSATURATED SIGNALIZED INTERSECTION
THE EFFECT OF RANDOM HEADWAYS ON THROUGHPUT AT AN OVERSATURATED SIGNALIZED INTERSECTION IS STUDIED. THE MODEL ASSUMES AN INFINITE QUEUE OF CARS AT THE BEGINNING OF THE GO-PHASE. THE ENTRY TIME OF THE FIRST CAR INTO THE INTERSECTION, AFTER THE GO-PHASE IS INITIATED, IS ASSUMED TO BE A POSITIVE RANDOM VARIABLE X, AND ALL SUCCESSIVE ENTRY- TIME HEADWAYS (MINUS A MINIMUM TIME) ARE ASSUMED TO BE THE RANDOM VARIABLE X. FURTHERMORE, ALL THE RANDOM VARIABLES ARE ASSUMED TO BE MUTUALLY INDEPENDENT. ANALYTIC EXPRESSIONS ARE DERIVED FOR THE MEAN AND THE VARIANCE OF THE NUMBER OF VEHICLES THAT PASS THROUGH THE INTERSECTION DURING A GO- PHASE. SOME CALCULATIONS AND CURBS ARE GIVEN FOR THE SPECIFIC CASE OF AN ERLANGIAN DISTRIBUTION FUNCTION OF THE RANDOM VARIABLE X. IT IS SHOWN THAT A DETERMINISTIC (MEAN VALUE, MODEL IS QUITE ACCURATE FOR MEAN VALUE CALCULATIONS, BUT THAT VARIABILITY IN HEADWAYS DOES CAUSE SIGNIFICANT VARIANCE IN THROUGHPUT. /AUTHOR/
-
Supplemental Notes:
- Report Sp-2122/000/01, 17 PP
-
Corporate Authors:
System Development Corporation
2500 Colorado Avenue
Santa Monica, CA United States 90409 -
Authors:
- Ancker, C J
- Gafarian, A V
- Publication Date: 0
Media Info
-
Serial:
- Transportation Research /UK/
- Issue Number: 0
- Publisher: Pergamon Press, Incorporated
Subject/Index Terms
- TRT Terms: Distributions (Statistics); Headways; Highway traffic; Intersections; Mathematical analysis; Mean (Statistics); Queuing; Randomization; Traffic flow; Traffic signals
- Old TRIS Terms: Mean (Statistical); Vehicular traffic
- Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;
Filing Info
- Accession Number: 00227057
- Record Type: Publication
- Source Agency: Bureau of Public Roads /US
- Files: TRIS
- Created Date: Aug 13 2004 6:56PM