FUNDEMENTAL RELATIONSHIPS FOR TRAFFIC FLOW MODELS WITH APPLICATIONS

A CAREFUL DESCRIPTION OF HOW TRAFFIC FLOW MAY BE VIEWED AS A STOCHASTIC POINT PROCESS IS PROVIDED. SEVERAL TYPES OF THEORETICAL RELATIONSHIPS ARE PRESENTED. INTERVALS BETWEEN EVENTS ARE RELATED TO COUNTS OF EVENTS WITHIN INTERVALS. SYNCHRONOUS OBSERVATION, COMMENCING WITH AN OBSERVED EVENT, IS RELATED TO ASYNCHRONOUS OBSERVATION, WHICH COMMENCES AT A POINT RANDOMLY LOCATED WITH RESPECT TO THE STREAM OF EVENTS. SOME RELATIONSHIPS BETWEEN MARGINAL AND JOINT PROBABILITY DISTRIBUTIONS ARE GIVEN. THE UTILITY OF THESE RELATIONSHIPS IN THE ANALYSIS OF TRAFFIC FLOW MODELS IS ILLUSTRATED AS FOLLOWS: THE ROLE OF THE RENEWAL FUNCTION IN THE CASE OF NONRENEWAL PROCESSES IS ASSESSED AND THE POISSON PROCESS, THE ERLAND PROCESS, AND THE POLYA PROCESS ARE EXAMINED. CONCERNING THE LATTER TWO PROCESSES, SOME NEW RESULTS ARE OBTAINED, INCLUDING USEFUL DETAILS ABOUT THE CORRELATIONS. /HSL/

  • Supplemental Notes:
    • PHASE 2
  • Corporate Authors:

    Probabalistic Approach to Traf Problems

    ,    
  • Authors:
    • Serfling, R J
  • Publication Date: 1970

Media Info

  • Features: References;
  • Pagination: p. 21-71

Subject/Index Terms

Filing Info

  • Accession Number: 00227360
  • Record Type: Publication
  • Source Agency: Highway Safety Literature
  • Files: TRIS
  • Created Date: Feb 11 1973 12:00AM