STATISTICAL STUDIES IN TRAFFIC FLOW PROBLEMS AN NON-TECHNICAL SUMMARY. FINAL REPORT

SIX REPORTS, DOCUMENTING RESEARCH ON THE FEDERAL HIGHWAY ADMINISTRATION CONTRACT FH-11-7698, RELATE TO THE AREAS OF URBAN INTERSECTION ANALYSIS, TRAFFIC FLOW MODELS AND TRAFFIC CONGESTION MODELS. IN THE AREA OF URBAN INTERSECTION ANALYSIS, TECHNICAL REPORTS 23, 24, AND 25 STUDY THE LOSS OF TIME DUE TO CONGESTION AT INTERSECTIONS. REPORT 23 OBTAINS THE DISTRIBUTION OF THE FIRST EMPTINESS TIME, T, (FOR INDEPENDENT AND FOR MARKOVIAN QUEUE INPUTS) AND RELATES WITH THE TOTAL VEHICLE HOURS, W, LOST DUE TO CONGESTION. REPORT 24 DERIVES THE CONDITION NECESSARY FOR STABILITY WITH REGARD TO INPUTS INTO THE NORTH AND EAST QUEUES AT THE SIGNALIZED INTERSECTION OF TWO ONE-LANE STREETS. REPORT 25 IS CONCERNED WITH THE JOINT ASYMPTOTIC DISTRIBUTION OF T AND W. IN THE AREA OF TRAFFIC FLOW MODELS, TECHNICAL REPORT 22 DEVELOPS A SET OF THEOREMS ON THE DISTRIBUTION OF THE NUMBER OF INTERSECTIONS OF RANDOM LINES WITH A FIXED LINE AND RELATES THESE TO THE DISTRIBUTION OF THE NUMBER OF VEHICLE OVERTAKINGS UNDER LOW DENSITY TRAFFIC AND LONG STRETCHES OF HIGHWAY. IN THE AREA OF TRAFFIC CONGESTION MODELS, TECHNICAL REPORT 21 STUDIES COMPATIBILITY CONDITIONS OF REACTION TIMES FOR CAR SPEEDS TO PREVENT COLLISION ALONG A HIGHWAY. TECHNICAL REPORT 26 STUDIES EFFECT UPON CONGESTION OF THE AVAILABLE NUMBER OF PARKING SPACES FOR VEHICLES ON A LOT AND DEMAND. A MEASURE OF PARKING EFFICIENCY IS DEVELOPED. THE RESULTS OF THIS RESEARCH IN THEIR CURRENT FORM WILL BE OF LITTLE INTEREST OR OF PRACTICAL IMPLEMENTATION FOR TRAFFIC SYSTEM ENGINEERS. THE RESULTS WERE ADDRESSED TO A VERY RESTRICTED AUDIENCE OF MATHEMATICIANS KNOWLEDGEABLE IN STOCHASTIC PROCESSES INVOLVING PROBABILITY, QUEUING AND STORAGE THEORY. THE NONTECHNICAL SUMMARY DOES NOT ADD TO THE LAYMAN'S UNDERSTANDING. /FHWA/

• Corporate Authors:

  Stanford University

  Stanford, CA  United States  94305

  Federal Highway Administration

  1200 New Jersey Avenue, SE
  Washington, DC  United States  20590
• Authors:
  • Brill, E A
  • Gani, J
• Publication Date: 0

Subject/Index Terms

• TRT Terms: Intersections; Mathematical models; Parking; Statistical analysis; Traffic congestion; Traffic flow theory; Urban areas
• Uncontrolled Terms: Models
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00227025
• Record Type: Publication
• Source Agency: Federal Highway Administration
• Report/Paper Numbers: Final Rept
• Contract Numbers: OT-FH-11-7698
• Files: TRIS, USDOT
• Created Date: Mar 20 1972 12:00AM